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A cylinder and frictionless block are in contact on inclined plane. Find their acceleration.

See attached file.

On an inclined plane at angle b from horizontal, a frictionless block, mass m, is placed behind and in contact with a uniform cylinder of radius R and mass M. Released from rest, the two objects remain in contact as the block slides and the cylinder rolls down the plane. Find a, the acceleration down the plane of the center of mass, in m/sec^2.
Knowns are: M= 6.4 kg, m= 3.2 kg, and angle b=30 degrees. Note that M= 2m.
SEE ATTACHMENT #1 for a diagram with parameters.


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NOTE: Your knowledge of physics is mostly shown by writing a correct equation relating
the parameters involved in the solution of a problem. With this equation written, the substitution of known values and calculating the answer is mostly arithmetic.

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Solution Summary

With a diagram and the formulas, the solution to the problem is carefully worked out.