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

The correct option is B $\sqrt{\frac{4}{3}gh}$

Velocity at the bottom (v)$=\sqrt{\frac{2gh}{1+\frac{K^2}{R^2}}}=\sqrt{\frac{2gh}{1+\frac{1}{2}}}=\sqrt{\frac{4}{3}gh}.$