Problem

The system shown in the figure consists of a uniform (homogeneous) rectangular board that...

The system shown in the figure consists of a uniform (homogeneous) rectangular board that is resting on two identical rotating cylinders. The two cylinders rotate in opposite directions at equal angular velocities. Initially, the board is placed perfectly symmetrically relative to the center point between the two cylinders. Is this an equilibrium position for the board? If yes, is it in stable or unstable quilibrium? What happens if the board is given a very slight displacement out of the initial position?

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Solutions For Problems in Chapter 11

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