The suspended 2.8 kg mass on the right is moving up on a pulley, the 1.6 kg mass

Question

The suspended 2.8 kg mass on the right is moving up on a pulley, the 1.6 kg mass slides down the 21 degree ramp, and the suspended 9 kg mass on the left is moving down on a pulley. The coefficient of friction between the block and the ramp is 0.12. The acceleration of gravity is 9.8 m/s^2. The pulleys are massless and frictionless.

A) What is the acceleration of the three block system?

B) What is the tension in the cord connected to the 2.8 kg block?

C) What is the tension in the cord connected to the 9 kg block?

Explanation / Answer

Let m1 = 9 kg; m2 = 1.6 kg; m3 = 2.8 kg.
Newton's 2nd law:
m1 g - T1 = m1 a
T1 - T2 - ? m2 g cos21

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