PLEASE SHOW WORK! The double incline depicted above has the profile of a right t

Question

PLEASE SHOW WORK!

The double incline depicted above has the profile of a right triangle with the angle alpha = 39. The two masses, m1 = 76 kg and m2 = 30 kg are connected by a string that passes over an ideal pulley. The coefficients of friction between the blocks and the incline are the same on both sides of the incline. What is the smallest coefficient of static friction that will keep the system in balance? [Assume that, if the system were to start moving, m1 would be falling and m2 would be rising.] The smallest static friction coefficient that will keep the system in balance is mu = .

Explanation / Answer

T = 76gsin39 - u76gcos39   = 30gcos39 + u30gsin39

u(76cos39 + 30sin39) = 76sin39 - 30cos39

u = 0.315

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