A partial cross section of an amusement park ride is shown. While the ride spins up to the...

A partial cross section of an amusement park ride is shown. While the ride spins up to the angular speed ωC, there is a small platform at F on which the person P stands. Once the ride reaches the desired angular speed, the platform falls away and only friction keeps the person from sliding to the floor of the ride. The wall, against which the person lies, is inclined at the angle θ = 15° with respect to the vertical. Model the person as a particle that is a distance d = 20 ft from the spin axis AB and let the coefficient of static friction between the person and the wall be μs = 0.7.

Determine whether or not the person can slide up the wall and out of the ride. If yes, determine the value of ωC at which the person begins to slide.

Figure P3.54