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.

Anti clockwise moment = Clockwise moment

8gN * d = 2gN * 2.5m

8d = 5Nm

d = 5/8

d = 0.625m

= 4 ā d

= 4 ā ( 0.625)

= 3.375m

**Q. 2 Solution:**

R = 0

Taking moment about āCā

w * 0.5 = 6 * 1N + 5 * 4m

0.5w = 26Nm

w = 26/0.5m

w = 52 N