11 Nov '16 01:541 edit

This problem is getting in my head, becuase I can't reconcile the sloution I'm given, and the what I come to leads me to a non sensical equation. I'm rather embarassingly lost on this simple problem.

A unicyclist is cycling up a hill angled 15 degrees 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 100 kg. The radius of the wheel is 0.5 m and the coefficient of static friction between the wheel and the asphalt is 1. What is the magnitude of the torque the cyclist needs to exert on the pedals in order to cycle up the hill at a constant speed?

Looking forward to seeing and understanding your solution.

A unicyclist is cycling up a hill angled 15 degrees 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 100 kg. The radius of the wheel is 0.5 m and the coefficient of static friction between the wheel and the asphalt is 1. What is the magnitude of the torque the cyclist needs to exert on the pedals in order to cycle up the hill at a constant speed?

Looking forward to seeing and understanding your solution.