Question

A hollow sphere of radius `R` and mass `m` fully filled with water of mass `m`. It is rolled down a horizontal plane such that its centre of mass moves with a velocity `v`. If it purely rolls.
A. Kinetic energy of the sphere is `(5)/(6) mv^(2)`
B. Kinetic energy of the sphere is `(4)/(5) mv^(2)`
C. Angular momentum of the sphere about a fixed point on ground is `(8)/(2) mvR`
D. Angular momentum of the sphere about a fixed point ground is `(14)/(5) mvR`.

Answer 1

Correct Answer - C
`L = I omega + 2 mvR`
`L = ((2)/(3) MR^(2)) xx (V)/(R) + 2mvR rArr L = (8)/(3) mvR`.