assignment i - lame and particle 2d 3d 12

Upload: ae00505

Post on 22-Feb-2018

217 views

Category:

Documents


0 download

TRANSCRIPT

  • 7/24/2019 Assignment I - Lame and Particle 2D 3D 12

    1/28

    Engineering Mechanics(GEB 1211)

    TUTORIAL 001B (JAN JUN, 2016)

  • 7/24/2019 Assignment I - Lame and Particle 2D 3D 12

    2/28

    STATIC EQUILIBRIUM 2D VECTO

    A stake is being pulled out of the gro

    means of two ropes as shown. Knowin

    determine by trigonometry (a) the magn

    the force P so that the resultant force exe

    the stake is vertical, (b) the corresp

    magnitude of the resultant.

  • 7/24/2019 Assignment I - Lame and Particle 2D 3D 12

    3/28

    STATIC EQUILIBRIUM 2D VECTO

  • 7/24/2019 Assignment I - Lame and Particle 2D 3D 12

    4/28

    STATIC EQUILIBRIUM 2D VECTO

    A trolley that moves along a horizontal b

    acted upon by two forces as shown. (a) K

    that determine by trigonometry the magn

    the force P so that the resultant force exe

    the trolley is vertical. (b) hat

    corresponding magnitude of the resultant!

  • 7/24/2019 Assignment I - Lame and Particle 2D 3D 12

    5/28

    STATIC EQUILIBRIUM 2D VECTO

  • 7/24/2019 Assignment I - Lame and Particle 2D 3D 12

    6/28

    STATIC EQUILIBRIUM 2D VECTO

    A telephone cable is clamped at A to the p

    Knowing that the tension in the right"hand p

    the cable is T#$ %&&& lb, determine by trigonom

    the re'uired tension T% in the left hand porti

    resultant R of the forces exerted by the cable a

    be vertical, (b) the corresponding magnitude of

  • 7/24/2019 Assignment I - Lame and Particle 2D 3D 12

    7/28

    STATIC EQUILIBRIUM 2D VECTO

  • 7/24/2019 Assignment I - Lame and Particle 2D 3D 12

    8/28

    STATIC EQUILIBRIUM 2D VECTO

    A steel tank is to be positioned in an ex

    Knowing that the magnitude of P is $&& lb, d

    by trigonometry (a)the re'uired angle if the re

    of the two forces applied at A is to be verticacorresponding magnitude of R.

  • 7/24/2019 Assignment I - Lame and Particle 2D 3D 12

    9/28

    STATIC EQUILIBRIUM 2D VECTO

  • 7/24/2019 Assignment I - Lame and Particle 2D 3D 12

    10/28

    STATIC EQUILIBRIUM 2D VECTO

    wo forces P and Q are applied to the

    storage bin as shown. Knowing tha

    determine by trigonometry the magnitu

    direction of the resultant of the two forces

  • 7/24/2019 Assignment I - Lame and Particle 2D 3D 12

    11/28

    STATIC EQUILIBRIUM 2D VECTO

  • 7/24/2019 Assignment I - Lame and Particle 2D 3D 12

    12/28

    STATIC EQUILIBRIUM 2D VECTO

    etermine the and components of each of the forces sh

    find their resultant.

  • 7/24/2019 Assignment I - Lame and Particle 2D 3D 12

    13/28

    String Tension3D Vectors

    FORCES IN SPACE

  • 7/24/2019 Assignment I - Lame and Particle 2D 3D 12

    14/28

    STATIC EQUILIBRIUM 3D VECTO

    Knowing that the tension in cable AB is

    determine the components of the force exerteplate atB.

  • 7/24/2019 Assignment I - Lame and Particle 2D 3D 12

    15/28

    STATIC EQUILIBRIUM 3D VECTO

    A frameABC is supported in part by cab

    that passes through a frictionless ring

    Knowing that the tension in the cable is

    determine the components of the force

    by the cable on the support atD.

  • 7/24/2019 Assignment I - Lame and Particle 2D 3D 12

    16/28

    STATIC EQUILIBRIUM 3D VECTO

  • 7/24/2019 Assignment I - Lame and Particle 2D 3D 12

    17/28

    STATIC EQUILIBRIUM 3D VECTO

    Knowing that the tension is $%& lb in

    AB and *#$ lb in cable AC, determ

    magnitude and direction of the resul

    the forces exerted atAby the two cab

  • 7/24/2019 Assignment I - Lame and Particle 2D 3D 12

    18/28

    STATIC EQUILIBRIUM 3D VECTO

  • 7/24/2019 Assignment I - Lame and Particle 2D 3D 12

    19/28

    STATIC EQUILIBRIUM 3D VECTO

    he boom OA carries a load P and is supporte

    cables as shown. Knowing that the tension in c

    is %- lb and that the resultant of the load P an

    forces exerted at A by the two cables must bealong OA, determine the tension in cable A

    determine the magnitude of the load P.

  • 7/24/2019 Assignment I - Lame and Particle 2D 3D 12

    20/28

    STATIC EQUILIBRIUM 3D VECTO

    STATIC EQUILIBRIUM 3D VECTO

  • 7/24/2019 Assignment I - Lame and Particle 2D 3D 12

    21/28

    STATIC EQUILIBRIUM 3D VECTO

    A container is supported by three cables

    attached to a ceiling as shown. eterm

    weight W of the container, knowing t

    tension in cableAB is k+.

    STATIC EQUILIBRIUM 3D VECTO

  • 7/24/2019 Assignment I - Lame and Particle 2D 3D 12

    22/28

    STATIC EQUILIBRIUM 3D VECTO

    STATIC EQUILIBRIUM 3D VECTO

  • 7/24/2019 Assignment I - Lame and Particle 2D 3D 12

    23/28

    STATIC EQUILIBRIUM 3D VECTO

    A crate is supported by three

    cables as shown. etermine

    the weight of the crate

    knowing that the tension incableAB is /$& lb.

    STATIC EQUILIBRIUM 3D VECTO

  • 7/24/2019 Assignment I - Lame and Particle 2D 3D 12

    24/28

    STATIC EQUILIBRIUM 3D VECTO

    A transmission tower is held by three gu

    attached to a pin atA and anchored by bo

    C, and D. 0f the tension in wire AB is

    determine the vertical force P exerted

    tower on the pin atA.

    STATIC EQUILIBRIUM 3D VECTO

  • 7/24/2019 Assignment I - Lame and Particle 2D 3D 12

    25/28

    STATIC EQUILIBRIUM 3D VECTO

    STATIC EQUILIBRIUM 3D VECTO

  • 7/24/2019 Assignment I - Lame and Particle 2D 3D 12

    26/28

    STATIC EQUILIBRIUM 3D VECTO

    hree cables are connected at A, wh

    forces P and Q are applied as shown. K

    that, determine the values of Q for whic

    AD is taut.

    STATIC EQUILIBRIUM 3D VECTO

  • 7/24/2019 Assignment I - Lame and Particle 2D 3D 12

    27/28

    STATIC EQUILIBRIUM 3D VECTO

  • 7/24/2019 Assignment I - Lame and Particle 2D 3D 12

    28/28

    ell one12

    3ou are ready for the 4A"