Question

A body is rolling without slipping on a horizontal plane. The rotational energy of the body is $40$% of the total kinetic energy. Identify the body.

• A. Ring
• B. Hollow cylinder
• C. Solid cylinder
• D. Hollow sphere

Answer 1

Answer: (D)

Hollow sphere

$\frac{\frac{1}{2}I{\omega }^2}{\frac{1}{2}m{v}^2}=\frac{40}{60}$

$v=R\omega$

hence $I=\frac{2}{3}m{R}^2$