Determine the smallest force the man must exert on the rope in order to move the crate

Question:

Determine the smallest force the man must exert on the rope in order to move the crate of mass M. Also, what is the angle θ at this moment? The coefficient of static friction between the crate and the floor is μs.


Given:

M = 80 kg

μ s = 0.3

α = 30 deg

β = 45 deg

g = 9.81m/s2



Determine the smallest force the man must exert on the rope in


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