A roll of paper has a uniform weight W and is suspended from the wire hanger so

Question:

A roll of paper has a uniform weight W and is suspended from the wire hanger so that it rests against the wall. If the hanger has a negligible weight and the bearing at O can be considered frictionless, determine the minimum force P and the associated angle θ needed to start turning the roll. The coefficient of static friction between the wall and the paper is μs.

Given:

W = 0.75 lb

φ = 30 deg

μ s = 0.25

r = 3 in