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In a popular amusement park ride, a rotating cylinder of radius4.00 m is set in

ID: 1742189 • Letter: I

Question

In a popular amusement park ride, a rotating cylinder of radius4.00 m is set in rotation at an angularspeed of 6.00 rad/s. The floor then dropsaway, leaving the riders suspended against the wall in a verticalposition. What minimum coefficient of friction between a rider'sclothing and the wall is needed to keep the rider from slipping?(Hint: Recall that the magnitude of the maximum force of staticfriction is equal to µn, where n is thenormal force - in this case, the force causing the centripetalacceleration.)

Explanation / Answer


umrw^2 = mg r is radius, w is angular speed, m is mass,g is gravity, u is coefficient of friction u(4m)(6rad/sec^2) = (9.81) 0.40875 = u
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