Question

A soild cylinder, a circular disc, a solid sphere and hollow cylinder of the same radius are placed on an inclined plane. Which of the following will have maximum acceleration at the bottom of the plane?

• A. Cirular disc
• B. Solid cylinder
• C. Solid sphere
• D. Hollow sphere

Answer 1

The correct option is C Solid sphere

Moment of inertia, $I=m{k}^2$

For inclined plane, $a=\frac{g\sin \theta }{1+\frac{k^2}{R^2}}$. Now, for a solid sphere, the value of $\frac{k^2}{R^2}$ is minimum (equal to $\frac{2}{5}$), so it has the maximum acceleration.