Between doing physics problems on Brilliant, some people like to unicycle. A unicyclist is cycling up a hill angled with respect to the horizontal. The center of mass of the cyclist is directly over the axle of the wheel and the cyclist/unicycle system have a combined mass of The radius of the wheel is and the coefficient of static friction between the wheel and the asphalt is
What is the magnitude of the torque (in ) that the cyclist needs to exert on the pedals in order to cycle up the hill at a constant speed?
Details and assumptions