Question

A spherical shell, a solid sphere and a solid cylinder are released from rest at the top of and inclined plane, in what order will they reach the bottom. All objects have the same mass and radius.

Answer 1

We have Torque ,

but, Angular accelerarion,

So Torque,

For all other parameters being constant,  accelerarion is inversly proportional to Moment of Inertia..   

That is more moment of inertia slower it will reach the bottom

Moment of Inertia of Spherical Shell,

Moment of Inertia of Solid Sphere ,

Moment of Inertia of Solid cylinder ,

That is

First = Solid Sphere​​​​​​​​​​​​​​

Second = Solid cylinder

Third = Spherical Shell