Question

If mass of the bob changes does the time period vary

Answer 1

Answer:

Let us take a general case where an object OOis oscillating from a fixed point PP.

CC is the center of mass of the object OO.

PP is the pivot point about which the object rotates (axis-of-rotation).

NN is the normal force exerted on the object OO by the pivot PP.

Let the moment of inertia of the object OObe II.

Let the distance between the point PP and point CC be ll (distance between the center of mass CC and the pivot PP).

We can write the torque equation for the object OO about the point PP. The only forces which are acting on the object are the normal force (NN) and the gravitational force (mgmg). Since the normal force NN is acting on the pivot, the torque due it is zero. Therefore, only gravitational force provides the torque.

τ⃗ =