Question: The collar fits loosely around a fixed shaft that has radius r. If the coefficient of kinetic friction between the shaft and the collar is

The collar fits loosely around a fixed shaft that has radius r. If the coefficient of kinetic friction between the shaft and the collar is μk, determine the force P on the horizontal segment of the belt so that the collar rotates counterclockwise with a constant angular velocity. Assume that the belt does not slip on the collar; rather, the collar slips on the shaft. Neglect the weight and thickness of the belt and collar. The radius, measured from the center of the collar to the mean thickness of the belt is R.

Given:

r = 2 in

μ k = 0.3

R = 2.25 in

F = 20 lb

P. AD

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