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

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