university physics ii and iia formula sheet
Post on 06-Apr-2022
2 Views
Preview:
TRANSCRIPT
UNIVERSITY PHYSICS II and IIA FORMULA SHEET
netF ma=�
�
dv
adt
=�
�
dr
vdt
=�
�
212o o
r r v t a t= + +� � � �
2
x
1a
2o oxx x v t t= + +
2 2 2 ( )o o
v v a r r= + ⋅ −� � �
2 2 2 ( - )x ox x ov v a x x= +
0θ θ θ∆ = −
avg t
θω =
∆∆
d
dt
θω =
-o
ω ω ω∆ = = avgt
ωα
∆∆
2
2
d d
dt dt
ω θα = =
212o o
t tθ θ ω α= + + 2 2
02 ( - )
oω ω α θ θ= +
s rθ= v rω= t
d va r
dtα= =
�
2
2 r
va r
rω= =
2
i ii
I m r=∑ 2
rigidbody
I r dm= ∫ 2+com
I I Mh=
x r Fτ =�
��
sinrF rF r Fτ θ ⊥ ⊥= = =
net
Iτ α=��
21
2K Iω=
f
i
W d
θ
θ
τ θ= ∫ P τ ω=
total final initialW K K= −
final final initial initial nonconserativeK U K U W+ = + +
comv rω=
coma rα=
x x r p r mv= =� � � �
�
l sinrp rp r pφ ⊥ ⊥= = =l
L = ∑��
l L Iω=�
�
net
d L
dtτ =
�
�
F LE
A L
∆ =
F xG
A L
∆ =
Vp B
V
∆=
( )2( ) = - ( ) ( ) = cos +m
a t x t x t x tω ω φ 1
2
fT
ωπ
= =
F kx= − 212
U kx= 2m
Tk
π=
2I
Tmg h
π=
( , ) ( )y x t h x vt= ± v fk
ωλ= =
2 k
πλ
=
( )( , ) sinm
y x t y kx tω φ= ± +
( , ) 2 cos sin2 2m
y x t y kx tφ φ
ω
= − −
TF
vµ
= 2 21
2avg mP v yµ ω=
( , ) 2 sin( ) cos( )m
y x t y kx tω=
2n
L
nλ =
1nf n f= n = 1, 2, 3, 4, 5 ….
2
Lφπ λ
∆=
Bv
ρ=
( , ) sin( )m
p x t p kx tω∆ = ∆ − ( , ) cos( )m
s x t s kx tω= − m mp v sρ ω∆ =
PI
A=
24
PI
rπ= ( )21
2 mI v sρ ω=
( )10.0 dB logo
I
Iβ
=
12
2
W10
moI −=
( )( , ) 2 cos sin2 2m avg avg
ky x t y x t k x t
ωω
∆ ∆ = − −
2 1beatf f f= −
' D
S
v vf f
v v
±= ±
cn
v=
1 1 2 2sin sinn nθ θ=
1 1 1 'i hm m
f p i p h= + = − =
sin 0, ±1, ±2, d m mθ λ= = … (constructive)
2
0
24 cos sin
2
dI I
φ πφ θ
λ
= =
sin = ±1, ±2, ±3, a m mθ λ= … (destructive)
2sin
sinm
aI I
α πα θ
α λ
= =
2 20
1
cos tanB
nI I
nθ θ= =
2I MR=
2 21 1
4 12I MR ML= +
21
2I MR=( )2 2
1 2
1
2I M R R= +
21
12I ML= 22
5I MR=
( )2 21
12I M a b= +
21
2I M R=22
3I M R=
top related