Question

Derive the relation for the centre of mass of the two the two particle

system. What is the effect on the time period of the pendulum if its bob

is filled with water and water is leaking out from a tiny hole in the bob​

Answer 1

Answer:

The time period is given by:

T=2π√L/g

L here is the length from the point of suspension to the centre of mass of the bob. Assume the bob is spherical, as the water leaks out, the centre of mass will shift downwards, increasing L and hence increasing the time period.

centre of mass will be back at the geometrical centre (which was its original position when it was full of water), As soon as all the water has leaked out, however, the L will decrease and so will the time period.