In a popular amusement park ride, a rotating cylinder of radius 4.00 m is set in rotation at an angular speed of 6.00 rad/s.

In a popular amusement park ride, a rotating cylinder of radius 4.00 m is set in rotation at an angular speed of 6.00 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 µn, where n is the normal force - in this case, the force causing the centripetal acceleration.)