Q. A hollow sphere of radius and mass is fully filled with water of mass . It is rolled down a horizontal plane such that its centre of mass moves with a velocity . If it purely rolls :

System of Particles and Rotational Motion Report Error

A

Kinetic energy of the sphere is

B

Kinetic energy of the sphere is

C

Angular momentum of the sphere about a fixed point on ground is

D

Angular momentum of the sphere about a fixed point on ground is

Solution:

Total kinetic energy = Rotational KE of sphere + Translational KE of sphere + Translation KE of water inside it.

Angular momentum of sphere about a fixed point on ground,

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