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Blocks A, B, and C are placed as shown in the the Figure below and connected by ropes of negligible mass through the pulleys of neglible mass and friction. Both blocks A and B have mass mA = mB= 2.0 kg each while the mass of block C is mC = 6.0 kg. The coefficient of kinetic friction between blocks A and B and the surface is Muk = 0.35. Initially, the system is at rest. once released, the blocks move rightward.

1159_Blocks A B and C are placed as shown.png

1.

(a) Draw a free-body diagram for each object. Show the direction of the acceleration.

(b) Find the magnitude of the acceleration of the system?

(c) Find the magnitude of the tension in the cord connecting blocks A and B.

(d) How far does block A move in the first 0.5 s (assuming it does not reach the pulley)?

2. What value of mass mc will result in zero acceleration of the system?

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