Problem

In the ride shown, a person A sits in a seat that is attached via a cable of length L to a...

In the ride shown, a person A sits in a seat that is attached via a cable of length L to a freely moving trolley B of mass mB. The total mass of the person and the seat is mA. The trolley is constrained by the beam to move only in the horizontal direction. The rider is released from rest at the angle θ = θ0 and it is allowed to swing in the vertical plane. Neglect the mass of the cable and treat the person and the seat as a single particle.

As in Prob. 5.35, determine the velocity of the trolley and the rider the first time that θ = 0°. After doing so, for given g, L, mA, and θ0, determine the maximum velocity achievable by the rider at θ = 0° and the corresponding value of mB. Evaluate your solution for WA = 100 lb, L = 15 ft, and θ0 = 70°. What would be the motion of B for this value of mB?

Figure P5.36

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