Question

A string is wrapped over a solid cylinder of mass 5 kg and radius 1m.. When 40 N force is applied on cylinder, determine its angular acceleration. (floor is smooth).

• A. 16
• B. 8
• C. 24
• D. 4

Answer 1

The correct option is A 16

We know that
$a=\alpha r$, where a is linear acceleration and $\alpha$ is the angular acceleration and r is the perpendicular distance from the point about which rotation occurs.
Here r = diameter of the cylinder

=$\frac{40}{5}=2\alpha$
= $\alpha =16$