In the Atwood's machine in Figure, the string passes over a fixed, frictionless cylinder of mass mc.

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In the Atwood's machine in Figure, the string passes over a fixed, frictionless cylinder of mass mc. 

(a) Find the acceleration of the center of mass of the two-block-and-cylinder system. 

(b) Use Newton's second law for systems to find the force F exerted by the support. 

(c) Find the tension in the string connecting the blocks and show that F = mcg + 2T.

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