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In a popular amusement park ride, a rotating cylinder of radius 4.00 m is set in rotation at an angular speed of 5.00 rad/s. 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 ┬Án, where n is the normal force - in this case, the force causing the centripetal acceleration.)

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    The friction force M R w^2 * u must equal or exceed the weight M g.

    Therefore u > g/(R w^2)

    u is the coefficient of friction and w is the angular velocity. R is the radius of the cylinder.

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