First slide

Rolling motion

Question

A force f acts tangentially at the highest point of a solid cylinder of mass ‘m’ kept on a rough horizontal plane. If the cylinder rolls without slipping, find the acceleration of the center of cylinder

Moderate

A

4F/3m
B

3F/4m
C

F/m
D

F/2m

Solution

F + f = ma ....(i) ; (F - f)r = Iα
$\large (F - f)r = \frac {mr^2}{2}\frac ar;F-f=\frac {ma}{2}.....(ii)$
Equation (i) - (ii): $\large a=\frac {4f}{3m}$

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