A unicycle has only a single wheel and its rider sits above that wheel, pedaling furiously to stay upright

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A unicycle has only a single wheel and its rider sits above that wheel, pedaling furiously to stay upright. When she is traveling straight forward at a steady pace, she can maintain stability by always doing what?

Expert Solution

A unicycle is traveling straight forward at a steady pace, rider can maintain stability by always placing her overall center of gravity

directly above the point at which the wheel touches the ground.

This is the case of unstable equilibrium.

Therefore there should be no external force or torque acting on her. To make the torque by the ground zero her center mass/gravity must be directly wheel's point of contact with the ground.

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