A V-fan-belt (V-angle ) of an automobile engine passes around the hub H of a generator G

Question:

A V-fan-belt (V-angle θ) of an automobile engine passes around the hub H of a generator G and over the housing F to a fan. If the generator locks, and the maximum tension the belt can sustain is Tmax, determine the maximum possible torque M resisted by the axle as the belt slips over the hub. Assume that slipping of the belt occurs only at H and that the coefficient of kinetic friction for the hub is μs.

Given:

θ = 60 deg b = 2 in

a = 2 in c = 1.25 ft

Tmax = 175 lb μ s = 0.25

A V-fan-belt (V-angle θ) of an automobile engine passes aro