Roll Down on Inclined Plane Comparison – Rankers Physics

Roll Down on Inclined Plane Comparison

A solid sphere, disc and solid cylinder all of the same mass and made of the same material are allowed to roll down (from rest) on the inclined plane, then: (1993)

Solid sphere reaches the bottom first
Solid sphere reaches the bottom last
Disc will reach the bottom first
All reach the bottom at the same time

Solution:

The acceleration on an inclined plane is inversely proportional to $1 + I/MR^2$. Solid sphere has the lowest moment of inertia coefficient ($2/5$), giving it maximum acceleration and shortest time to reach the bottom.

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