A solid cylinder of mass 'M' and radius 'R' rolls without sl

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

Options:

A . √34gh

B . √43gh

C . √4gh

D . √2gh

Answer: Option B
:
B
Velocity at the bottom (v)

= \sqrt{\frac{2 g h}{1 + \frac{K^{2}}{R^{2}}}} = \sqrt{\frac{2 g h}{1 + \frac{1}{2}}} = \sqrt{\frac{4}{3} g h} .

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