Question

A solid cylinder of mass M and radius R rolls without slipping down an inclined plane of length L and height h. What is the speed of its centre of mass when the cylinder reaches its bottom

• A. $\sqrt{\frac{3}{4}gh}$
• B. $\sqrt{\frac{4}{3}gh}$
• C. $\sqrt{4gh}$
• D. $\sqrt{2gh}$

Answer 1

Answer: (B)

$\sqrt{\frac{4}{3}gh}$

Answer 2

Velocity at the bottom (v)

$= \sqrt{\frac{2gh}{1 + \frac{K^{2}}{R^{2}}}} = \sqrt{\frac{2gh}{1 + \frac{1}{2}}} = \sqrt{\frac{4}{3}gh}$.