You are riding in an amusement park ride consisting of a long horizontal arm that pivots from one end about a vertical axis. Attached to the far end of the arm is a container in which you stand with your face pointing towards the center, as shown in the diagram. As the ride's spin increases, you realize that when the container reaches a certain linear speed v, you can lift your feet off the ground and the frictional force on your back against the wall is sufficient to hold you suspended above the floor of the container. The length of the arm-plus-container (i.e. the distance from you to the axis of rotation) is L. The acceleration due to gravity is g. In terms of L and v, what is the coefficient of static friction between your back and the wall of the container? Axis of rotation L

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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You are riding in an amusement park ride consisting of a long horizontal arm that pivots from one end about a
vertical axis. Attached to the far end of the arm is a container in which you stand with your face pointing towards
the center, as shown in the diagram. As the ride's spin increases, you realize that when the container reaches a
certain linear speed v, you can lift your feet off the ground and the frictional force on your back against the wall is
sufficient to hold you suspended above the floor of the container. The length of the arm-plus-container (i.e. the
distance from you to the axis of rotation) is L. The acceleration due to gravity is g. In terms of L and v, what is the
coefficient of static friction between your back and the wall of the container?
Axis of rotation
L
Transcribed Image Text:You are riding in an amusement park ride consisting of a long horizontal arm that pivots from one end about a vertical axis. Attached to the far end of the arm is a container in which you stand with your face pointing towards the center, as shown in the diagram. As the ride's spin increases, you realize that when the container reaches a certain linear speed v, you can lift your feet off the ground and the frictional force on your back against the wall is sufficient to hold you suspended above the floor of the container. The length of the arm-plus-container (i.e. the distance from you to the axis of rotation) is L. The acceleration due to gravity is g. In terms of L and v, what is the coefficient of static friction between your back and the wall of the container? Axis of rotation L
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