Q. A solid sphere, disc and solid cylinder all of the same mass are made of the same material are allowed to roll down (from rest) on an inclined plane, then
A) Solid sphere reaches the bottom first
B) Solid sphere reaches the bottom last
C) Disc will reach the bottom first
D) All reach the bottom at the same time
Explanation
(a) For solid sphere, $\frac{K^{2}}{R^{2}} = \frac{2}{5}$
For disc and solid cylinder, $\frac{K^{2}}{R^{2}} = \frac{1}{2}$
As $\frac{K^{2}}{R^{2}}$ for solid sphere is smallest, it takes minimum time to reach the bottom of the incline
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.