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Physics - Rotation Question with Solution | TestHub

PhysicsRotationMiscellaneousEasy2 minPYQ_2020

PhysicsEasysingle choice

A uniform solid cylindrical roller of mass $m$ and $R$ is rolled on the ground, without slipping, by applying a constant horizontal force $F$ . Find angular acceleration of cylinder.

Options:

Answer:

Solution:

$F - f_{r} = m a$ $\dots (i)$

$f_{r} R = I α = \frac{m R^{2}}{2} α$ $\dots (i i)$

For pure rolling

$a = α R$ $\dots (i i i)$

From $(i), (i i)$ and $(i i i)$

$F - \frac{m R α}{2} = m α R$

$F = \frac{3}{2} m R α$

$α = \frac{2 F}{3 m R}$

Stream:NTA_ABHYAS_NEETSubject:PhysicsTopic:RotationSubtopic:Miscellaneous

⏱ 2mℹ️ Source: PYQ_2020

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