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A solid cylinder of mass m, radius R and height H is kept on the rough horizontal surface of a vehicle moving with acceleration $a_{0} .$ If the axis of the cylinder is vertical and no slipping takes place

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The cylinder topples when $a_{0} > \frac{2 g R}{H}$

The cylinder topples when $a_{0} < \frac{2 g R}{H}$

Frictional force $= μ m g$

Frictional force $= μ m a_{0}$

answer is C.

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Detailed Solution

Toppling when
$m a_{o} \frac{H}{2} > m g R$ Question Image
Since there is no slipping
$f = m a_{o}$

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