Concept explainers
* Rolling is a combination of linear and circular motion. In order to study rolling motion, we perform the following experiment. We mark three points A. B, and C on a bicycle wheel and observe how these points move while the bicycle is pushed forward 2 cm, a distance much smaller than the radius of the wheel. Figure P5.11 shows a long-exposure photo of the experiment. The camera (i.e., the observer) is standing still on the ground. A is the point where the wheel is initially touching the ground. B is the point at the wheel’s axis, and C is the point on the top of the wheel, directly above point A (a) Determine the displacements of points A. B. and C as observed by the stationary observer. (Hint: Use similar tangles.) (b) Using your answers from part (a), determine the speed of the points A, B, and C with respect to the ground for the bicycle that is moving at constant speed v How would the answers to part (b) change if the observer were moving in the same direction as the bicycle but (c) with the same speed as the bicycle or (d) twice as fast as the bicycle?
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