Dynamics of a particle/mass point Vectorial Dynamics 1 2 general(universal) principles principle ofD'Alembert Vectorial Dynamics 1.2. 3.introduction

2 2 differential equation of mtion of a particle relative to a noninertial reference frame Dynamics of a particle/mass point 1 3 2 differential equation of motion of a particle

differential equation of mtion of a particle relative to a noninertial reference frame Dynamics of a particle/mass point 1 3 2 differential equation of motion of a particle

differential equation of mtion of a particle relative to a noninertial reference frame Dynamics of a particle/mass point 1 3 2 differential equation of motion of a particle

vector methods

differential equation of motion of a particle relative to inertial reference frame plojective equation on rectangular coordinates plojective equation on natural coordinates/normal-tangential coordinates M m ,F ,oxyz t rv r : differential equation of mtion of a particle relative to a noninertial reference frame Dynamics of a particle/mass point 1 3 2 differential equation of motion of a particle

m a = F vector methods differential equation of motion of a particle relative to inertial reference frame plojective equation on rectangular coordinates plojective equation on natural coordinates/normal-tangential coordinates differential equation of mtion of a particle relative to a noninertial reference frame Dynamics of a particle/mass point 1 3 2 differential equation of motion of a particle

vector methods differential equation of motion of a particle relative to inertial reference frame plojective equation on rectangular coordinates plojective equation on natural coordinates/normal-tangential coordinates differential equation of mtion of a particle relative to a noninertial reference frame Dynamics of a particle/mass point 1 3 2 differential equation of motion of a particle

xyz ; Fx Fy Fz F xyz vector methods differential equation of motion of a particle relative to inertial reference frame plojective equation on rectangular coordinates plojective equation on natural coordinates/normal-tangential coordinates differential equation of mtion of a particle relative to a noninertial reference frame Dynamics of a particle/mass point 1 3 2 differential equation of motion of a particle

vector methods differential equation of motion of a particle relative to inertial reference frame plojective equation on rectangular coordinates plojective equation on natural coordinates/normal-tangential coordinates differential equation of mtion of a particle relative to a noninertial reference frame Dynamics of a particle/mass point 1 3 2 differential equation of motion of a particle FFn Fb F

vector methods differential equation of motion of a particle relative to inertial reference frame plojective equation on rectangular coordinates plojective equation on natural coordinates/normal-tangential coordinates differential equation of mtion of a particle relative to a noninertial reference frame Dynamics of a particle/mass point 1 3 2 differential equation of motion of a particle

o x y z ----- o x y z ----- differential equation of mtion of a particle relative to a noninertial reference frame Dynamics of a particle/mass point 1 3 2 differential equation of motion of a particle differential equation of motion of a particle relative to a noninertial reference frame

m aa F aa ae ar ac

m ( ae ar ac ) F differential equation of mtion of a particle relative to a noninertial reference frame Dynamics of a particle/mass point 1 3 2 differential equation of motion of a particle differential equation of motion of a particle relative to a noninertial reference frame

m ar F Qe Qc Qe mae Qc mac differential equation of mtion of a particle relative to a noninertial reference frame Dynamics of a particle/mass point 1 3 2 differential equation of motion of a particle differential equation of motion of a particle relative to a noninertial reference frame

F Qe Qc F Qe Qc

differential equation of mtion of a particle relative to a noninertial reference frame Dynamics of a particle/mass point 1 3 2 differential equation of motion of a particle differential equation of motion of a particle relative to a noninertial reference frame

ac 0 Qc 0 mar FQe ac 0ae 0 Qe 0Qc 0 , mar Fdifferential equation of mtion of a particle relative to a noninertial reference frame Dynamics of a particle/mass point 1 3 2 differential equation of motion of a particle differential equation of motion of a particle relative to a noninertial reference frame

ar 0 , vr 0 ,ac 0 Qc 0 . 0 FQe F Qe .

ar 0 0 FQeQc F Qe Qk . differential equation of mtion of a particle relative to a noninertial reference frame Dynamics of a particle/mass point 1 3 2 differential equation of motion of a particle differential equation of motion of a particle relative to a noninertial reference frame

differential equation of motion of a particle relative to a noninertial reference frame M ,G ,L a M differential equation of mtion of a particle relative to a noninertial reference frame Dynamics of a particle/mass point 1 3 2 differential equation of motion of a particle

differential equation of mtion of a particle relative to a noninertial reference frame Dynamics of a particle/mass point 1 3 2 differential equation of motion of a particle example2example1 general(universal) principles of dynamics example3

t =0 F differential equation of mtion of a particle relative to a noninertial reference frame Dynamics of a particle/mass point 1 3 2 differential equation of motion of a particle example2example1 general(universal) principles of dynamics example3

--- O AB mD OC e OC

differential equation of mtion of a particle relative to a noninertial reference frame Dynamics of a particle/mass point 1 3 2 differential equation of motion of a particle example2example1 general(universal) principles of dynamics example3

:D F : mg:

differential equation of mtion of a particle relative to a noninertial reference frame Dynamics of a particle/mass point 1 3 2 differential equation of motion of a particle example2example1 general(universal) principles of dynamics example3solution

: AB , oy AB

differential equation of mtion of a particle relative to a noninertial reference frame Dynamics of a particle/mass point 1 3 2 differential equation of motion of a particle example2example1 general(universal) principles of dynamics example3solutionD

differential equation of mtion of a particle relative to a noninertial reference frame Dynamics of a particle/mass point 1 3 2 differential equation of motion of a particle example2example1 general(universal) principles of dynamics example3solutiony

differential equation of mtion of a particle relative to a noninertial reference frame Dynamics of a particle/mass point 1 3 2 differential equation of motion of a particle example2example1 general(universal) principles of dynamics example3

m =5kg, v =3.6m/s, AB = BC = 1.2 m ACBC . differential equation of mtion of a particle relative to a noninertial reference frame Dynamics of a particle/mass point 1 3 2 differential equation of motion of a particle example2example1 general(universal) principles of dynamics example3

C mg , FAC FBC differential equation of mtion of a particle relative to a noninertial reference frame Dynamics of a particle/mass point 1 3 2 differential equation of motion of a particle example2example1 general(universal) principles of dynamics example3 solution

FAC 22.6 (N) FBC 58.8 (N)

0=0 b n

differential equation of mtion of a particle relative to a noninertial reference frame Dynamics of a particle/mass point 1 3 2 differential equation of motion of a particle example2example1 general(universal) principles of dynamics example3solution

-----

differential equation of mtion of a particle relative to a noninertial reference frame Dynamics of a particle/mass point 1 3 2 differential equation of motion of a particle example2example1 general(universal) principles of dynamics example3

F GMm / z 2 G ---- M ---- m ----

differential equation of mtion of a particle relative to a noninertial reference frame Dynamics of a particle/mass point 1 3 2 differential equation of motion of a particle example2example1 general(universal) principles of dynamics example3Solution

mg GMm / R 2 g R 2 GM R ---- F g R 2 m / z 2

O OZ

t 0 z z 0v v 0 differential equation of mtion of a particle relative to a noninertial reference frame Dynamics of a particle/mass point 1 3 2 differential equation of motion of a particle example2example1 general(universal) principles of dynamics example3Solution

z 0 zt

differential equation of mtion of a particle relative to a noninertial reference frame Dynamics of a particle/mass point 1 3 2 differential equation of motion of a particle example2example1 general(universal) principles of dynamics example3Solution

example2example1 general(universal) principles of dynamics example3 z vz 0 differential equation of mtion of a particle relative to a noninertial reference frame Dynamics of a particle/mass point 1 3 2 differential equation of motion of a particle Solution

example2example1 general(universal) principles of dynamics example3z 0 ,vz0 z 0 R ,, differential equation of mtion of a particle relative to a noninertial reference frame Dynamics of a particle/mass point 1 3 2 differential equation of motion of a particle Solution

principle/theorem of momentum of particle system general(universal) principles of dynamics 1 2 calculations of basic mechanics quantities 3 principle/theorem of angular momentum of particle system 4 principle/theorem of kinetic energy of particle system 5 synthetical\composite examples of principles of dynamics

principle/theorem of momentum of particle system general(universal) principles of dynamics 1 2 calculations of basic mechanics quantities 3 principle/theorem of angular momentum of particle system 4 principle/theorem of kinetic energy of particle system 5 synthetical\composite examples of principles of dynamics

principle/theorem of momentum of particle system general(universal) principles of dynamics 1 2 calculations of basic mechanics quantities 3 principle/theorem of angular momentum of particle system 4 principle/theorem of kinetic energy of particle system 5 synthetical\composite examples of principles of dynamics

principle/theorem of momentum of particle system general(universal) principles of dynamics 1 2 calculations of basic mechanics quantities 3 principle/theorem of angular momentum of particle system 4 principle/theorem of kinetic energy of particle system 5 synthetical\composite examples of principles of dynamics

principle/theorem of momentum of particle system general(universal) principles of dynamics 1 2 calculations of basic mechanics quantities 3 principle/theorem of angular momentum of particle system 4 principle/theorem of kinetic energy of particle system 5 synthetical\composite examples of principles of dynamics

work of force kinetic energy linear momentum velocity and acceleration for center of mass of particle systems center of mass of particle systems examples C angular momentum / moment of momentum mass moment of inertia principle/theorem of momentum of particle system general(universal) principles of dynamics 1 2 calculations of basic mechanics quantities 3 principle/theorem of angular momentum of particle system 4 principle/theorem of kinetic energy of particle system 5 synthetical\composite examples of principles of dynamics M m k

: principle/theorem of momentum of particle system general(universal) principles of dynamics 1 2 calculations of basic mechanics quantities 3 principle/theorem of angular momentum of particle system 4 principle/theorem of kinetic energy of particle system 5 synthetical\composite examples of principles of dynamics work of force kinetic energy linear momentum velocity and acceleration for center of mass of particle systems center of mass of particle systems examples angular momentum / moment of momentum mass moment of inertia

principle/theorem of momentum of particle system general(universal) principles of dynamics 1 2 calculations of basic mechanics quantities 3 principle/theorem of angular momentum of particle system 4 principle/theorem of kinetic energy of particle system 5 synthetical\composite examples of principles of dynamics work of force kinetic energy linear momentum velocity and acceleration for center of mass of particle systems center of mass of particle systems examples angular momentum / moment of momentum mass moment of inertia

principle/theorem of momentum of particle system general(universal) principles of dynamics 1 2 calculations of basic mechanics quantities 3 principle/theorem of angular momentum of particle system 4 principle/theorem of kinetic energy of particle system 5 synthetical\composite examples of principles of dynamics work of force kinetic energy linear momentum velocity and acceleration for center of mass of particle systems center of mass of particle systems examples angular momentum / moment of momentum mass moment of inertia

principle/theorem of momentum of particle system general(universal) principles of dynamics 1 2 calculations of basic mechanics quantities 3 principle/theorem of angular momentum of particle system 4 principle/theorem of kinetic energy of particle system 5 synthetical\composite examples of principles of dynamics work of force kinetic energy linear momentum velocity and acceleration for center of mass of particle systems center of mass of particle systems examples angular momentum / moment of momentum mass moment of inertia

principle/theorem of momentum of particle system general(universal) principles of dynamics 1 2 calculations of basic mechanics quantities 3 principle/theorem of angular momentum of particle system 4 principle/theorem of kinetic energy of particle system 5 synthetical\composite examples of principles of dynamics work of force kinetic energy linear momentum velocity and acceleration for center of mass of particle systems center of mass of particle systems examples angular momentum / moment of momentum mass moment of inertia

xprinciple/theorem of momentum of particle system general(universal) principles of dynamics 1 2 calculations of basic mechanics quantities 3 principle/theorem of angular momentum of particle system 4 principle/theorem of kinetic energy of particle system 5 synthetical\composite examples of principles of dynamics work of force kinetic energy linear momentum velocity and acceleration for center of mass of particle systems center of mass of particle systems examples angular momentum / moment of momentum mass moment of inertia

principle/theorem of momentum of particle system general(universal) principles of dynamics 1 2 calculations of basic mechanics quantities 3 principle/theorem of angular momentum of particle system 4 principle/theorem of kinetic energy of particle system 5 synthetical\composite examples of principles of dynamics work of force kinetic energy linear momentum velocity and acceleration for center of mass of particle systems center of mass of particle systems examples angular momentum / moment of momentum mass moment of inertia

O r mv principle/theorem of momentum of particle system general(universal) principles of dynamics 1 2 calculations of basic mechanics quantities 3 principle/theorem of angular momentum of particle system 4 principle/theorem of kinetic energy of particle system 5 synthetical\composite examples of principles of dynamics work of force kinetic energy linear momentum velocity and acceleration for center of mass of particle systems center of mass of particle systems examples angular momentum / moment of momentum mass moment of inertia

principle/theorem of momentum of particle system general(universal) principles of dynamics 1 2 calculations of basic mechanics quantities 3 principle/theorem of angular momentum of particle system 4 principle/theorem of kinetic energy of particle system 5 synthetical\composite examples of principles of dynamics work of force kinetic energy linear momentum velocity and acceleration for center of mass of particle systems center of mass of particle systems examples angular momentum / moment of momentum mass moment of inertia O O LO

, LxLyLz principle/theorem of momentum of particle system general(universal) principles of dynamics 1 2 calculations of basic mechanics quantities 3 principle/theorem of angular momentum of particle system 4 principle/theorem of kinetic energy of particle system 5 synthetical\composite examples of principles of dynamics work of force kinetic energy linear momentum velocity and acceleration for center of mass of particle systems center of mass of particle systems examples angular momentum / moment of momentum mass moment of inertia :

JZ principle/theorem of momentum of particle system general(universal) principles of dynamics 1 2 calculations of basic mechanics quantities 3 principle/theorem of angular momentum of particle system 4 principle/theorem of kinetic energy of particle system 5 synthetical\composite examples of principles of dynamics work of force kinetic energy linear momentum velocity and acceleration for center of mass of particle systems center of mass of particle systems examples angular momentum / moment of momentum mass moment of inertia

Jz 1 2 3 4 principle/theorem of momentum of particle system general(universal) principles of dynamics 1 2 calculations of basic mechanics quantities 3 principle/theorem of angular momentum of particle system 4 principle/theorem of kinetic energy of particle system 5 synthetical\composite examples of principles of dynamics work of force kinetic energy linear momentum velocity and acceleration for center of mass of particle systems center of mass of particle systems examples angular momentum / moment of momentum mass moment of inertia

JZ JZCMd 2 Jzc d M principle/theorem of momentum of particle system general(universal) principles of dynamics 1 2 calculations of basic mechanics quantities 3 principle/theorem of angular momentum of particle system 4 principle/theorem of kinetic energy of particle system 5 synthetical\composite examples of principles of dynamics work of force kinetic energy linear momentum velocity and acceleration for center of mass of particle systems center of mass of particle systems examples angular momentum / moment of momentum mass moment of inertia

Jz > Jzc principle/theorem of momentum of particle system general(universal) principles of dynamics 1 2 calculations of basic mechanics quantities 3 principle/theorem of angular momentum of particle system 4 principle/theorem of kinetic energy of particle system 5 synthetical\composite examples of principles of dynamics work of force kinetic energy linear momentum velocity and acceleration for center of mass of particle systems center of mass of particle systems examples angular momentum / moment of momentum mass moment of inertia z' //zc zc z' zc

principle/theorem of momentum of particle system general(universal) principles of dynamics 1 2 calculations of basic mechanics quantities 3 principle/theorem of angular momentum of particle system 4 principle/theorem of kinetic energy of particle system 5 synthetical\composite examples of principles of dynamics work of force kinetic energy linear momentum velocity and acceleration for center of mass of particle systems center of mass of particle systems examples angular momentum / moment of momentum mass moment of inertia

: principle/theorem of momentum of particle system general(universal) principles of dynamics 1 2 calculations of basic mechanics quantities 3 principle/theorem of angular momentum of particle system 4 principle/theorem of kinetic energy of particle system 5 synthetical\composite examples of principles of dynamics work of force kinetic energy linear momentum velocity and acceleration for center of mass of particle systems center of mass of particle systems examples angular momentum / moment of momentum mass moment of inertia JP

principle/theorem of momentum of particle system general(universal) principles of dynamics 1 2 calculations of basic mechanics quantities 3 principle/theorem of angular momentum of particle system 4 principle/theorem of kinetic energy of particle system 5 synthetical\composite examples of principles of dynamics work of force kinetic energy linear momentum velocity and acceleration for center of mass of particle systems center of mass of particle systems examples angular momentum / moment of momentum mass moment of inertia

1. AM M principle/theorem of momentum of particle system general(universal) principles of dynamics 1 2 calculations of basic mechanics quantities 3 principle/theorem of angular momentum of particle system 4 principle/theorem of kinetic energy of particle system 5 synthetical\composite examples of principles of dynamics work of force kinetic energy linear momentum velocity and acceleration for center of mass of particle systems center of mass of particle systems examples angular momentum / moment of momentum mass moment of inertia 2. AF0 (vP 0) AM Mmax

(F ) principle/theorem of momentum of particle system general(universal) principles of dynamics 1 2 calculations of basic mechanics quantities 3 principle/theorem of angular momentum of particle system 4 principle/theorem of kinetic energy of particle system 5 synthetical\composite examples of principles of dynamics work of force kinetic energy linear momentum velocity and acceleration for center of mass of particle systems center of mass of particle systems examples angular momentum / moment of momentum mass moment of inertia

principle/theorem of momentum of particle system general(universal) principles of dynamics 1 2 calculations of basic mechanics quantities 3 principle/theorem of angular momentum of particle system 4 principle/theorem of kinetic energy of particle system 5 synthetical\composite examples of principles of dynamics work of force kinetic energy linear momentum velocity and acceleration for center of mass of particle systems center of mass of particle systems examples angular momentum / moment of momentum mass moment of inertia

principle/theorem of momentum of particle system general(universal) principles of dynamics 1 2 calculations of basic mechanics quantities 3 principle/theorem of angular momentum of particle system 4 principle/theorem of kinetic energy of particle system 5 synthetical\composite examples of principles of dynamics work of force kinetic energy linear momentum velocity and acceleration for center of mass of particle systems center of mass of particle systems examples angular momentum / moment of momentum mass moment of inertia 1m L O

principle/theorem of momentum of particle system general(universal) principles of dynamics 1 2 calculations of basic mechanics quantities 3 principle/theorem of angular momentum of particle system 4 principle/theorem of kinetic energy of particle system 5 synthetical\composite examples of principles of dynamics work of force kinetic energy linear momentum velocity and acceleration for center of mass of particle systems center of mass of particle systems examples angular momentum / moment of momentum mass moment of inertia 2m R O

0 Pmvc mR OC : principle/theorem of momentum of particle system general(universal) principles of dynamics 1 2 calculations of basic mechanics quantities 3 principle/theorem of angular momentum of particle system 4 principle/theorem of kinetic energy of particle system 5 synthetical\composite examples of principles of dynamics work of force kinetic energy linear momentum velocity and acceleration for center of mass of particle systems center of mass of particle systems examples angular momentum / moment of momentum mass moment of inertia Jo

principle/theorem of momentum of particle system general(universal) principles of dynamics 1 2 calculations of basic mechanics quantities 3 principle/theorem of angular momentum of particle system 4 principle/theorem of kinetic energy of particle system 5 synthetical\composite examples of principles of dynamics work of force kinetic energy linear momentum velocity and acceleration for center of mass of particle systems center of mass of particle systems examples angular momentum / moment of momentum mass moment of inertia

OABD B D BD 2L2m1m2 OALm1 O principle/theorem of momentum of particle system general(universal) principles of dynamics 1 2 calculations of basic mechanics quantities 3 principle/theorem of angular momentum of particle system 4 principle/theorem of kinetic energy of particle system 5 synthetical\composite examples of principles of dynamics work of force kinetic energy linear momentum velocity and acceleration for center of mass of particle systems center of mass of particle systems examples angular momentum / moment of momentum mass moment of inertia

OABD BD PPOAPBDPBPDprinciple/theorem of momentum of particle system general(universal) principles of dynamics 1 2 calculations of basic mechanics quantities 3 principle/theorem of angular momentum of particle system 4 principle/theorem of kinetic energy of particle system 5 synthetical\composite examples of principles of dynamics work of force kinetic energy linear momentum velocity and acceleration for center of mass of particle systems center of mass of particle systems examples angular momentum / moment of momentum mass moment of inertia

examples BDBDA PBDPBPD2( m1m2 )vA OAE POAm1vE principle/theorem of momentum of particle system general(universal) principles of dynamics 1 2 calculations of basic mechanics quantities 3 principle/theorem of angular momentum of particle system 4 principle/theorem of kinetic energy of particle system 5 synthetical\composite examples of principles of dynamics work of force kinetic energy linear momentum velocity and acceleration for center of mass of particle systems center of mass of particle systems examples angular momentum / moment of momentum mass moment of inertia

: vA vE ,vA , principle/theorem of momentum of particle system general(universal) principles of dynamics 1 2 calculations of basic mechanics quantities 3 principle/theorem of angular momentum of particle system 4 principle/theorem of kinetic energy of particle system 5 synthetical\composite examples of principles of dynamics work of force kinetic energy linear momentum velocity and acceleration for center of mass of particle systems center of mass of particle systems examples angular momentum / moment of momentum mass moment of inertia

C principle/theorem of momentum of particle system general(universal) principles of dynamics 1 2 calculations of basic mechanics quantities 3 principle/theorem of angular momentum of particle system 4 principle/theorem of kinetic energy of particle system 5 synthetical\composite examples of principles of dynamics work of force kinetic energy linear momentum velocity and acceleration for center of mass of particle systems center of mass of particle systems examples angular momentum / moment of momentum mass moment of inertia

principle/theorem of momentum of particle system general(universal) principles of dynamics 1 2 calculations of basic mechanics quantities 3 principle/theorem of angular momentum of particle system 4 principle/theorem of kinetic energy of particle system 5 synthetical\composite examples of principles of dynamics work of force kinetic energy linear momentum velocity and acceleration for center of mass of particle systems center of mass of particle systems examples angular momentum / moment of momentum mass moment of inertia

XY principle/theorem of momentum of particle system general(universal) principles of dynamics 1 2 calculations of basic mechanics quantities 3 principle/theorem of angular momentum of particle system 4 principle/theorem of kinetic energy of particle system 5 synthetical\composite examples of principles of dynamics work of force kinetic energy linear momentum velocity and acceleration for center of mass of particle systems center of mass of particle systems examples angular momentum / moment of momentum mass moment of inertia

principle/theorem of momentum of particle system general(universal) principles of dynamics 1 2 calculations of basic mechanics quantities 3 principle/theorem of angular momentum of particle system 4 principle/theorem of kinetic energy of particle system 5 synthetical\composite examples of principles of dynamics work of force kinetic energy linear momentum velocity and acceleration for center of mass of particle systems center of mass of particle systems examples angular momentum / moment of momentum mass moment of inertia

OABD BD

1 principle/theorem of momentum of particle system general(universal) principles of dynamics 1 2 calculations of basic mechanics quantities 3 principle/theorem of angular momentum of particle system 4 principle/theorem of kinetic energy of particle system 5 synthetical\composite examples of principles of dynamics work of force kinetic energy linear momentum velocity and acceleration for center of mass of particle systems center of mass of particle systems examples angular momentum / moment of momentum mass moment of inertia

2BDBD : BD BD OA principle/theorem of momentum of particle system general(universal) principles of dynamics 1 2 calculations of basic mechanics quantities 3 principle/theorem of angular momentum of particle system 4 principle/theorem of kinetic energy of particle system 5 synthetical\composite examples of principles of dynamics work of force kinetic energy linear momentum velocity and acceleration for center of mass of particle systems center of mass of particle systems examples angular momentum / moment of momentum mass moment of inertia

BDBD principle/theorem of momentum of particle system general(universal) principles of dynamics 1 2 calculations of basic mechanics quantities 3 principle/theorem of angular momentum of particle system 4 principle/theorem of kinetic energy of particle system 5 synthetical\composite examples of principles of dynamics work of force kinetic energy linear momentum velocity and acceleration for center of mass of particle systems center of mass of particle systems examples angular momentum / moment of momentum mass moment of inertia

principle/theorem of momentum of particle system general(universal) principles of dynamics 1 2 calculations of basic mechanics quantities 3 principle/theorem of angular momentum of particle system 4 principle/theorem of kinetic energy of particle system 5 synthetical\composite examples of principles of dynamics work of force kinetic energy linear momentum velocity and acceleration for center of mass of particle systems center of mass of particle systems examples angular momentum / moment of momentum mass moment of inertia

examples principle/theorem of momentum of particle system and conservation principle/theorem of motion of mass center of particle system and conservation 1 dP/dt F e principle/theorem of momentum of particle system general(universal) principles of dynamics 1 2 calculations of basic mechanics quantities 3 principle/theorem of angular momentum of particle system 4 principle/theorem of kinetic energy of particle system 5 synthetical\composite examples of principles of dynamics :

2 P2P1I e principle/theorem of momentum of particle system general(universal) principles of dynamics 1 2 calculations of basic mechanics quantities 3 principle/theorem of angular momentum of particle system 4 principle/theorem of kinetic energy of particle system 5 synthetical\composite examples of principles of dynamics examples principle/theorem of momentum of particle system and conservation principle/theorem of motion of mass center of particle system and conservation

3 1F e 0 P 2Fxe 0 Px principle/theorem of momentum of particle system general(universal) principles of dynamics 1 2 calculations of basic mechanics quantities 3 principle/theorem of angular momentum of particle system 4 principle/theorem of kinetic energy of particle system 5 synthetical\composite examples of principles of dynamics examples principle/theorem of momentum of particle system and conservation principle/theorem of motion of mass center of particle system and conservation

1 P Mvc dP /dt F e M d vc/dt F e principle/theorem of momentum of particle system general(universal) principles of dynamics 1 2 calculations of basic mechanics quantities 3 principle/theorem of angular momentum of particle system 4 principle/theorem of kinetic energy of particle system 5 synthetical\composite examples of principles of dynamics examples principle/theorem of momentum of particle system and conservation principle/theorem of motion of mass center of particle system and conservation M ac F e

principle/theorem of momentum of particle system general(universal) principles of dynamics 1 2 calculations of basic mechanics quantities 3 principle/theorem of angular momentum of particle system 4 principle/theorem of kinetic energy of particle system 5 synthetical\composite examples of principles of dynamics examples principle/theorem of momentum of particle system and conservation principle/theorem of motion of mass center of particle system and conservation M ac F e M ac ()

2 1F e 0ac 0vc 2Fxe 0acx 0vcx principle/theorem of momentum of particle system general(universal) principles of dynamics 1 2 calculations of basic mechanics quantities 3 principle/theorem of angular momentum of particle system 4 principle/theorem of kinetic energy of particle system 5 synthetical\composite examples of principles of dynamics examples principle/theorem of momentum of particle system and conservation principle/theorem of motion of mass center of particle system and conservation

200kg 150kg20km/h 100kg 1 2 0.5s principle/theorem of momentum of particle system general(universal) principles of dynamics 1 2 calculations of basic mechanics quantities 3 principle/theorem of angular momentum of particle system 4 principle/theorem of kinetic energy of particle system 5 synthetical\composite examples of principles of dynamics examples principle/theorem of momentum of particle system and conservation principle/theorem of motion of mass center of particle system and conservation

(m1m2)v0 (m1m2m3)v1 Fxe 0 X principle/theorem of momentum of particle system general(universal) principles of dynamics 1 2 calculations of basic mechanics quantities 3 principle/theorem of angular momentum of particle system 4 principle/theorem of kinetic energy of particle system 5 synthetical\composite examples of principles of dynamics examples principle/theorem of momentum of particle system and conservation principle/theorem of motion of mass center of particle system and conservation

v1 mm v0( mmm ) 15.5 ( km / h ) v1 principle/theorem of momentum of particle system general(universal) principles of dynamics 1 2 calculations of basic mechanics quantities 3 principle/theorem of angular momentum of particle system 4 principle/theorem of kinetic energy of particle system 5 synthetical\composite examples of principles of dynamics examples principle/theorem of momentum of particle system and conservation principle/theorem of motion of mass center of particle system and conservation

Fm(v0v1)/ t 494(N) F mv1mv0F t principle/theorem of momentum of particle system general(universal) principles of dynamics 1 2 calculations of basic mechanics quantities 3 principle/theorem of angular momentum of particle system 4 principle/theorem of kinetic energy of particle system 5 synthetical\composite examples of principles of dynamics examples principle/theorem of momentum of particle system and conservation principle/theorem of motion of mass center of particle system and conservation

494(N), F principle/theorem of momentum of particle system general(universal) principles of dynamics 1 2 calculations of basic mechanics quantities 3 principle/theorem of angular momentum of particle system 4 principle/theorem of kinetic energy of particle system 5 synthetical\composite examples of principles of dynamics examples principle/theorem of momentum of particle system and conservation principle/theorem of motion of mass center of particle system and conservation

AB ,L ,, ,C A principle/theorem of momentum of particle system general(universal) principles of dynamics 1 2 calculations of basic mechanics quantities 3 principle/theorem of angular momentum of particle system 4 principle/theorem of kinetic energy of particle system 5 synthetical\composite examples of principles of dynamics examples principle/theorem of momentum of particle system and conservation principle/theorem of motion of mass center of particle system and conservation

AB , Fxe 0C C C oy

principle/theorem of momentum of particle system general(universal) principles of dynamics 1 2 calculations of basic mechanics quantities 3 principle/theorem of angular momentum of particle system 4 principle/theorem of kinetic energy of particle system 5 synthetical\composite examples of principles of dynamics examples principle/theorem of momentum of particle system and conservation principle/theorem of motion of mass center of particle system and conservation

Aprinciple/theorem of momentum of particle system general(universal) principles of dynamics 1 2 calculations of basic mechanics quantities 3 principle/theorem of angular momentum of particle system 4 principle/theorem of kinetic energy of particle system 5 synthetical\composite examples of principles of dynamics examples principle/theorem of momentum of particle system and conservation principle/theorem of motion of mass center of particle system and conservation A

O OA m1A m2 CDm3 OA = L C O principle/theorem of momentum of particle system general(universal) principles of dynamics 1 2 calculations of basic mechanics quantities 3 principle/theorem of angular momentum of particle system 4 principle/theorem of kinetic energy of particle system 5 synthetical\composite examples of principles of dynamics examples principle/theorem of momentum of particle system and conservation principle/theorem of motion of mass center of particle system and conservation

O M Xc'' Fox principle/theorem of momentum of particle system general(universal) principles of dynamics 1 2 calculations of basic mechanics quantities 3 principle/theorem of angular momentum of particle system 4 principle/theorem of kinetic energy of particle system 5 synthetical\composite examples of principles of dynamics examples principle/theorem of momentum of particle system and conservation principle/theorem of motion of mass center of particle system and conservation solution

Xc'' principle/theorem of momentum of particle system general(universal) principles of dynamics 1 2 calculations of basic mechanics quantities 3 principle/theorem of angular momentum of particle system 4 principle/theorem of kinetic energy of particle system 5 synthetical\composite examples of principles of dynamics examples principle/theorem of momentum of particle system and conservation principle/theorem of motion of mass center of particle system and conservation solution

M Xc'' Fox O principle/theorem of momentum of particle system general(universal) principles of dynamics 1 2 calculations of basic mechanics quantities 3 principle/theorem of angular momentum of particle system 4 principle/theorem of kinetic energy of particle system 5 synthetical\composite examples of principles of dynamics examples principle/theorem of momentum of particle system and conservation principle/theorem of motion of mass center of particle system and conservation solution

principle/theorem of angular momentum of particle system and conservation examples differential equation of rotation of a rigid body about fixed axis theorem of angular momentum about mass center differential equations of plane motion of a rigid body O dL0 / dt m0 ( F e ) O Lo O principle/theorem of momentum of particle system general(universal) principles of dynamics 1 2 calculations of basic mechanics quantities 3 principle/theorem of angular momentum of particle system 4 principle/theorem of kinetic energy of particle system 5 synthetical\composite examples of principles of dynamics

principle/theorem of momentum of particle system general(universal) principles of dynamics 1 2 calculations of basic mechanics quantities 3 principle/theorem of angular momentum of particle system 4 principle/theorem of kinetic energy of particle system 5 synthetical\composite examples of principles of dynamics principle/theorem of angular momentum of particle system and conservation examples differential equation of rotation of a rigid body about fixed axis theorem of angular momentum about mass center differential equations of plane motion of a rigid body O

principle/theorem of momentum of particle system general(universal) principles of dynamics 1 2 calculations of basic mechanics quantities 3 principle/theorem of angular momentum of particle system 4 principle/theorem of kinetic energy of particle system 5 synthetical\composite examples of principles of dynamics principle/theorem of angular momentum of particle system and conservation examples differential equation of rotation of a rigid body about fixed axis theorem of angular momentum about mass center differential equations of plane motion of a rigid body m0 ( F e ) 0 Lo mz ( F e ) 0 Lz

principle/theorem of momentum of particle system general(universal) principles of dynamics 1 2 calculations of basic mechanics quantities 3 principle/theorem of angular momentum of particle system 4 principle/theorem of kinetic energy of particle system 5 synthetical\composite examples of principles of dynamics principle/theorem of angular momentum of particle system and conservation examples differential equation of rotation of a rigid body about fixed axis theorem of angular momentum about mass center differential equations of plane motion of a rigid body

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principle/theorem of momentum of particle system general(universal) principles of dynamics 1 2 calculations of basic mechanics quantities 3 principle/theorem of angular momentum of particle system 4 principle/theorem of kinetic energy of particle system 5 synthetical\composite examples of principles of dynamics principle/theorem of angular momentum of particle system and conservation examples differential equation of rotation of a rigid body about fixed axis theorem of angular momentum about mass center differential equations of plane motion of a rigid body

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