A wheel 60 cm in radius is connected to an axle that is 1.5 cm in radius. Someon

Question

A wheel 60 cm in radius is connected to an axle that is 1.5 cm in radius. Someone pulls with a force of 50 N on a thin cord wrapped around the axle. How much force do you have to exert on the wheels rim to hold it still. Please explain.

Explanation / Answer

simple torque balancing but that doesnt work: 60cm * x N = 1.5 cm * 50 N -> x = 1.25 N. Then I thought, maybe the wheel has friction with the ground, because torque AND force must be balanced in static equilibrium, so: x (the force) * 60 cm - (50N - x) (frictional force that prevents slipping) * 60 cm = 50 N * 1.5 cm. But that makes an answer near 25ish N, obviously because these torques are large compared to the one around the axle.

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