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I have a hollow-cylinder wheel model, braked with brake pads located at a distance d of the wheel's center axis. The brake pads have a contact area S. They are also forced towards the wheel with a pressure p. The contact between the brake pads and the wheel is done with a friction coefficient μ.

I call F the force of the brake pads onto the wheel.

Those brake pads create momentum M on the wheel so that it has less angular speed.

I want an expression of this momentum within the boundaries of the model.

For now, I assume
F = μpS
M = Fd

If anyone can help me with this...

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