6. A coin with a diameter 2.70 cm and mass of 27.0 g rolls up a 27.0° inclined plane. The coin starts out with an initial angular speed of 72.0 rad/s and rolls in a straight line without slipping.

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6. A coin with a diameter 2.70 cm and mass of 27.0 g rolls up a 27.0° inclined plane. The coin starts
out with an initial angular speed of 72.0 rad/s and rolls in a straight line without slipping.
(a) If the moment of inertia of the coin is MR2, how far will the coin roll up the inclined plane?
(b) What is the necessary friction force between the coin and the inclined plane for the coin to
indeed roll without slipping?
Transcribed Image Text:6. A coin with a diameter 2.70 cm and mass of 27.0 g rolls up a 27.0° inclined plane. The coin starts out with an initial angular speed of 72.0 rad/s and rolls in a straight line without slipping. (a) If the moment of inertia of the coin is MR2, how far will the coin roll up the inclined plane? (b) What is the necessary friction force between the coin and the inclined plane for the coin to indeed roll without slipping?
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