Question

A Ring, a solid Cylinder and a solid sphere all having the same mass and the Same radius are held at the top of an inclined plane if the objects are roll without slipping and the (see the picture)between each object and the plane is 0.3 if they are released from an incloed plane at the same time which wal bee reach the bottom first?​

Answer 1

Since they all have the same mass and radius they all experience the same amount of torque.

Torque = moment of inertia * angular acceleration

The one with the smallest moment of inertia will experience the greatest angular acceleration and thus reach the bottom first.

I = M r^2 ring

I = 1/2 M r^2 cylinder

I = 2/5 M r^2 sphere

The sphere will reach the bottom first.