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?

Step-by-step solution

t = 1 2 ~h ~g (1+ k ^2 R ^2 ) If a solid and hollow body of same shape are allowed to roll down on inclined plane then as ( k ^2 R ^2 )_ S < ( k ^2 R ^2 )_ H , solid body will reach the bottom first with greater velocity.