In a popular amusement park ride, a rotating cylinder of radius R = 2.10 m is set in rotation at an angular speed of 5.50 rad/s, as in the figure shown below. The floor then drops away, leaving the riders suspended against the wall in a vertical position. What minimum coefficient of friction between a rider's clothing and the wall is needed to keep the rider from slipping? Hint: Recall that the magnitude of the maximum force of static friction is equal to 4n, where n is the normal force-in this case, the force causing the centripetal acceleration.

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In a popular amusement park ride, a rotating cylinder of radius R = 2.10 m is set in rotation at an angular speed of 5.50 rad/s, as in the figure shown below. The floor then drops away, leaving the riders
suspended against the wall in a vertical position. What minimum coefficient of friction between a rider's clothing and the wall is needed to keep the rider from slipping? Hint: Recall that the magnitude of the
maximum force of static friction is equal tou̟n, where n is the normal force-in this case, the force causing the centripetal acceleration.
R
Transcribed Image Text:In a popular amusement park ride, a rotating cylinder of radius R = 2.10 m is set in rotation at an angular speed of 5.50 rad/s, as in the figure shown below. The floor then drops away, leaving the riders suspended against the wall in a vertical position. What minimum coefficient of friction between a rider's clothing and the wall is needed to keep the rider from slipping? Hint: Recall that the magnitude of the maximum force of static friction is equal tou̟n, where n is the normal force-in this case, the force causing the centripetal acceleration. R
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