MTH304 Assignment 3 Solution and Discussion


  • Cyberian's Gold

    Q. 1
    A non-uniform beam AB of length 8 m and mass 8 kg rests on a pivot at the mid-point C. When a mass of 2 kg rests on the beam 1.5 m from B, the system is in equilibrium. Find the distance between A and the centre of mass of the beam.

    Q. 2
    A uniform rod AB of length 10 m and weight 5 N rests on two supports at B and C, where C is 1 m from A. A weight of 6 N is attached to the rod 2 m from A. Given that when a load is attached 0.5 m from A, the rod is on the point of tilting about C, Find the weight of this load in Newton.


  • Cyberian's Gold

    Q.1 Solution:
    55fbd96d-66e7-45e7-b7bd-a16e105c32ce-image.png
    Anti clockwise moment = Clockwise moment
    8gN * d = 2gN * 2.5m
    8d = 5Nm
    d = 5/8
    d = 0.625m
    = 4 – d
    = 4 – ( 0.625)
    = 3.375m

    Q. 2 Solution:
    2d8517b3-5885-4944-b418-04e787ef907d-image.png
    R = 0
    Taking moment about ‘C’
    w * 0.5 = 6 * 1N + 5 * 4m
    0.5w = 26Nm
    w = 26/0.5m
    w = 52 N



Quiz 100% Result Quiz 100% Result
| |