A board of mass M = 2.00 kg and thickness t = 0.200 m is placed on top of a cylinder of mass m = 1.00 kg and radius r = 0.100 m on level ground. The board is accelerated to the right with a constant acceleration a0 = 1.00 m/s^2, causing the cylinder below it to roll as well. Assume that there is no slipping between any of the two contact surfaces. What is the magnitude of the acceleration of the center of mass of the cylinder?

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Chapter10: Fixed-axis Rotation
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A board of mass M = 2.00 kg and thickness t = 0.200 m is placed on top of a cylinder of
mass m = 1.00 kg and radius r = 0.100 m on level ground. The board is accelerated to
the right with a constant acceleration a0 = 1.00 m/s^2, causing the cylinder below it to
roll as well. Assume that there is no slipping between any of the two contact surfaces.
What is the magnitude of the acceleration of the center of mass of the cylinder?
Transcribed Image Text:A board of mass M = 2.00 kg and thickness t = 0.200 m is placed on top of a cylinder of mass m = 1.00 kg and radius r = 0.100 m on level ground. The board is accelerated to the right with a constant acceleration a0 = 1.00 m/s^2, causing the cylinder below it to roll as well. Assume that there is no slipping between any of the two contact surfaces. What is the magnitude of the acceleration of the center of mass of the cylinder?
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