Rolling as Pure Rotation

Rolling as Pure Rotation

as pure rotation about an axis that away extends the point where the wheel contacts the street a, me wheel moves. We consider the rolling motion to be pure rotation about an axis passing through point  and perpendicular to the plane of the figure. The vectors in then represent the instantaneous velocities of points on the rolling wheel.

To verify this answer. let us use it to calculate the linear speed of the top of the rolling wheel from the point of view of a stationary observer. If we call the wheel’s radius R, the top is a distance 2R.

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CHECKPOINT 1: The rear wheel on a clown’s bicycle has twice the radius of the front wheel. (a) When the bicycle is moving, is the linear speed at the very top of the rear
wheel greater than. less than. or the same as that of the front wheel? (b) Is the angular speed of the rear wheel greater than. less than, or the same as that of the front wheel.

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