Question 668: Centre of Mass and Rotational Motion

Question

A 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 an inclined plane. Both  roll down without slipping. Which one will reach the bottom first?

Accepted Answer

Time taken to reach the bottom of inclined
plane.
$$t = \sqrt {{{2l\left( {1 + {{{K^2}} \over {{R^2}}}} ight)} \over {g\sin 	heta }}} $$
Here, $$l$$ is length of incline plane
For solid cylinder $${K^2} = {{{R^2}} \over 2}$$
For hollow cylinder K
2
= R
2
Hence, solid cylinder will reach the bottom first.

Answer

Both together only when angle of  inclination of plane is 45o

Answer

Both together

Answer

Hollow cylinder

Answer

Solid cylinder

Centre of Mass and Rotational Motion

A 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 an inclined plane. Both roll down without slipping. Which one will reach the bottom first?

Choose the correct answer: