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A homogeneous...

Question

A homogeneous solid cylindrical roller of radius $R$ and mass $m$ is pulled on a cricket pitch by a horizontal force. Assuming rolling without slipping, angular acceleration of the cylinder is

A

\frac{3 F}{2 m R}

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B

\frac{3 F}{2 m R}

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C

\frac{2 F}{3 m R}

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D

\frac{F}{3 m R}

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Solution

The correct option is C $\frac{2 F}{3 m R}$
Diagram
Formula Used: $τ = I α$
Taking torque about point of contact
$F R = \frac{3}{2} M R^{2} α$
$α = \frac{2 F}{3 M R}$

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Diagram

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