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A coin is placed near the edge of a turntable of radius R rotating with constant frequency f. The figure shows a top view of the arrangement. a) What is the relation between the radius of the turntable, the frequency of revolution, and the speed of the coin? Remember f 1/T. b) Add an arrow to the figure indicating the direction of acceleration of the coin when it rotates with the turntable c) Draw a free-body diagram for the coin in side view. Please remember to include a coordinate system and to label your forces. d) If the turntable rotates slowly, the coin will move with the turntable. However, if it rotates too fast, the coin will slide off. Assuming that the static friction coefficient between the coin and the turntable is us, derive an equation for the maximum frequency at which the turntable can spin before the coin slides off. e) If the maximum speed is exceeded, the coin slides off. For this case, add the coin's trajectory (top view) to the sketch on the right.

A coin is placed near the edge of a turntable of radius R rotating with constant frequency f. The figure shows a top view of the arrangement. a) What is the relation between the radius of the turntable, the frequency of revolution, and the speed of the coin? Remember f 1/T. b) Add an arrow to the figure indicating the direction of acceleration of the coin when it rotates with the turntable c) Draw a free-body diagram for the coin in side view. Please remember to include a coordinate system and to label your forces. d) If the turntable rotates slowly, the coin will move with the turntable. However, if it rotates too fast, the coin will slide off. Assuming that the static friction coefficient between the coin and the turntable is us, derive an equation for the maximum frequency at which the turntable can spin before the coin slides off. e) If the maximum speed is exceeded, the coin slides off. For this case, add the coin's trajectory (top view) to the sketch on the right.

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Part C,D, and E

A coin is placed near the edge of a turntable of radius R rotating with constant frequency f. The figure shows a top view of the arrangement. a) What is the relation between the radius of the turntable, the frequency of revolution, and the speed of the coin? Remember f 1/T. b) Add an arrow to the figure indicating the direction of acceleration of the coin when it rotates with the turntable c) Draw a free-body diagram for the coin in side view. Please remember to include a coordinate system and to label your forces. d) If the turntable rotates slowly, the coin will move with the turntable. However, if it rotates too fast, the coin will slide off. Assuming that the static friction coefficient between the coin and the turntable is us, derive an equation for the maximum frequency at which the turntable can spin before the coin slides off. e) If the maximum speed is exceeded, the coin slides off. For this case, add the coin's trajectory (top view) to the sketch on the right.
Transcribed Image Text:A coin is placed near the edge of a turntable of radius R rotating with constant frequency f. The figure shows a top view of the arrangement. a) What is the relation between the radius of the turntable, the frequency of revolution, and the speed of the coin? Remember f 1/T. b) Add an arrow to the figure indicating the direction of acceleration of the coin when it rotates with the turntable c) Draw a free-body diagram for the coin in side view. Please remember to include a coordinate system and to label your forces. d) If the turntable rotates slowly, the coin will move with the turntable. However, if it rotates too fast, the coin will slide off. Assuming that the static friction coefficient between the coin and the turntable is us, derive an equation for the maximum frequency at which the turntable can spin before the coin slides off. e) If the maximum speed is exceeded, the coin slides off. For this case, add the coin's trajectory (top view) to the sketch on the right.
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