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    Sheet 2 Vectors 3-D

    Uploaded by

    Yara Emad
    problems in force vector 3D

    Copyright:

    © All Rights Reserved
    Download as PDF, TXT or read online from Scribd

    Sheet 2 Vectors 3-D

    Uploaded by

    Yara Emad
    2 views5 pages
    problems in force vector 3D

    Original Title

    Sheet 2 vectors 3-D (1)

    Copyright

    © © All Rights Reserved

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    PDF, TXT or read online from Scribd

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    problems in force vector 3D

    Copyright:

    © All Rights Reserved
    Download as PDF, TXT or read online from Scribd
    Download as pdf or txt
    2 views5 pages

    Sheet 2 Vectors 3-D

    Uploaded by

    Yara Emad
    problems in force vector 3D

    Copyright:

    © All Rights Reserved
    Download as PDF, TXT or read online from Scribd
    Download as pdf or txt
    of 5

    SHEET TWO

    1. The shaft S exerts three force


    components on the die D. Find the
    magnitude and coordinate direction
    angles of the resultant force.

    2. Specify the magnitude of F3 and its coordinate direction angles α3, β3, so that
    the resultant force FR = {9j} kN.
    Solution:

    3. The tension in the cable BC is 800 Ib write the force which this cable exerts on
    the boom OAB as a vector T. Determine the direction angles of T.
    4. The access door is held in the 30o open
    chain AB. If the tension in the chain is
    100N, Determine the projection of the
    tension force onto the diagonal axis CD of
    the door.
    Solution:

    5. For the cables of Problem 2.87, knowing


    that the tension is 1425 N in cable AB and
    2130 N in cable AC, determine the magnitude
    and direction of the resultant of the forces
    exerted at A by the two cables.
    Solution:

    6. Knowing that the tension is 425 lb


    in cable AB and 510 lb in cable
    AC, determine the magnitude and
    direction of the resultant of the
    forces exerted at A by the two
    cables.
    7. The clamp is used on a jig. If the vertical force acting on the bolt is -500j, determine
    the magnitudes of its components F1 and F2 which act along the OA axis and
    perpendicular to it.
    Solution:

    8. A transmission tower is held by three guy wires attached to a pin at A and


    anchored by bolts at B, C, and D. If the tension in wire AB is 630 lb, determine
    the vertical force P exerted by the tower on the pin at A.
    9. A crate is supported by three cables as shown. Determine the weight of the crate
    knowing that the tension in cable AB is 750 lb.
    Solution:

    10-Member OA lies in the x–y plane and member OB lies in the y–z plane.
    Determine the forces F1, F2, F3 acting in each of the members required
    for equilibrium of the joint.
    11. Express each of the forces in Cartesian vector form and determine the magnitude
    and coordinate direction angles of the resultant force.

    12. The magnitudes of the three forces acting on the plate are T1 = 100 kN, T2 =
    80 kN and T3 = 50 kN. Determine the magnitude and coordinate direction angles
    of the resultant force.

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