In an amusement park ride called The Roundup, passengers stand inside a 16-m-diameter rotating ring. After the ring has acquired sufficient speed, it tilts into a vertical plane, as shown in FIGURE P8.51.

a. Suppose the ring rotates once every 4.5 s. If a rider??s mass is 55 kg, with how much force does the ring push on her at the top of the ride? At the bottom?b. What is the longest rotation period of the wheel that will prevent the riders from falling off at the top?

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Rotation аxis FIGURE P8.51