# A body rolls down an inclined plane without slipping.

Question:

A body rolls down an inclined plane without slipping. The kinetic energy of rotation is $50 \%$ of its translational kinetic energy. The body is :

1. Solid sphere

2. Solid cylinder

3. Hollow cylinder

4. Ring

Correct Option: , 2

Solution:

$\frac{1}{2} \mathrm{I} \omega^{2}=\frac{1}{2} \times \frac{1}{2} \mathrm{mv}^{2}$

$I=\frac{1}{2} m R^{2}$

Body is solid cylinder