The truck, which has mass mt , is to be lowered down the slope by a rope that is wrapped around a tree. If the wheels are free to roll and the man at A can resist a pull P, determine the minimum number of turns the rope should be wrapped around the tree to lower the truck at a constant speed. The coefficient of kinetic friction between the tree and rope is μk.

Units Used:

Mg = 1000 kg

Given:

mt = 3.4 Mg

P = 300 N

θ = 20 deg

μk = 0.3

g = 9.81m/s2

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