Would someone check my thinking please.

A solid sphere (mass, r, and moment of inertia given) is rotating at a given angular speed. Friction is constantly applied at the 'equator' of the sphere, and brings it to rest in 3s.

Find the force. I worked out the torque, and then rearranged: T=rxF to give the force. Will i be right if the maths is ok?

Then, if the same force is applied (same conditions) half way between equator and pole, will it take longer or shorter to stop?

Thanks.

2 answers

yes on the first.

On the second, the torque needed is the same, however, it will need a larger force to make that same torque.
Thanks for that.

So it would take longer to stop then?