Determine the minimum force P needed to push the tube E up the incline. The tube has a mass of M1 and the roller D has a mass of M2. The force acts parallel to the plane, and the coefficients of static friction at the contacting surfaces are μA, μB and μC. Each cylinder has a radius of r.

Given:

M1 = 75 kg

M2 = 100 kg

μ A = 0.3

μ B = 0.25

μC = 0.4

θ = 30 deg

r = 150 mm

g = 9.81m/s2

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E D