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http://imgur.com/9lcv3Ct The double incline depicted above has the profile of a

ID: 2128918 • Letter: H

Question

http://imgur.com/9lcv3Ct

The double incline depicted above has the profile of a right triangle with the angle ? = 39. The two masses, m1 = 64 kg and m2 = 27 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 double incline depicted above has the profile of a right triangle with the angle ? = 39. The two masses, m1 = 64 kg and m2 = 27 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.]

Explanation / Answer


for m1

m1*g*sin39 = T+u*m1*g*cos39.......(1)

for m2
T = m2*g*sin51+u*m2*g*cos51.................(2)

u = 0.289