Rotational Motion Question 68
Question: The solid cylinder and a hollow cylinder, both of the same mass and same external diameter are released from the same height at the same time on a inclined plane. Both roll down without slipping. Which one will reach the bottom first?
[AIPMT (M) 2010]
Options:
A) Both together only when angle of inclination of plane is $ 45^{o} $
B) Both together
C) Hollow cylinder
D) Solid cylinder
Show Answer
Answer:
Correct Answer: D
Solution:
-
If a $ t=\frac{1}{\sin \theta }\sqrt{\frac{2h}{g}( 1+\frac{k^{2}}{R^{2}} )} $ solid and hollow body of same shape are allowed to roll down on inclined plane then as
$ {{( \frac{k^{2}}{R^{2}} )} _{s}}<{{( \frac{k^{2}}{R^{2}} )} _{H}}, $ solid body will reach the bottom first with greater velocity.
