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. $\frac{3F}{2mR}$
• B. $\frac{3F}{2mR}$
• C. $\frac{2F}{3mR}$
• D. $\frac{F}{3mR}$

Answer 1

The correct option is C $\frac{2F}{3mR}$

Diagram
Formula Used: $\tau =I\alpha$
Taking torque about point of contact
$FR=\frac{3}{2}M{R}^2\alpha$
$\alpha =\frac{2F}{3MR}$