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Part A- a box (mass 12.1 kg) sits on a rough incline that makes an angle...

Part A- a box (mass 12.1 kg) sits on a rough incline that makes an angle α = 30.2o with the horizontal. A massless string is tied to the box, runs parallel to the incline, passes over a massless, frictionless pulley, and is tied to mass M hanging on the other end. Assume μs = 0.335 is the coefficient of static friction between the box and the surface of the plane. Find the maximum value of M, in kg, for which this system can be in equilibrium.  

Part B- A box (mass 14.4 kg) sits on a rough incline that makes an angle α = 50.7o with the horizontal. A massless string is tied to the box, runs parallel to the incline, passes over a massless, frictionless pulley, and is tied to mass M hanging on the other end. Assume μs = 0.245 is the coefficient of static friction between the box and the surface of the plane. Find the minimum value of M, in kg, for which this system can be in equilibrium.

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