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In a popular amusement park ride, a rotating cylinder of radius R = 3.30 m is se

ID: 1458107 • Letter: I

Question

In a popular amusement park ride, a rotating cylinder of radius R = 3.30 m is set in rotation at an angular speed of rad/s, as in 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 , where n is the normal force-in this case, the force causing the centrifugal acceleration.

Explanation / Answer

in horizontal ,

N = m w^2 R =m x 5.70^2 x 3.30 = 107.217m

in vertical using,

f = mg

uN = mg

u( 107.217m) = mg

u = 0.09

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