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

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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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Solution Summary

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

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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.

Step 1. A very important part of a physics solution is knowing which forces exist and where they apply. To maximize your benefit, first show as arrows all existing forces on the ...

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