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In an amusement park ride, a 4m long lightweight rod connects the center motorized pivot to...

In an amusement park ride, a 4m long lightweight rod connects the center motorized pivot to a car. The motor applies a couple of 30t2 Nm, and another motor in the car generates a forward force F=15t N. The mass of the car and rider is 150 kg. If the car starts from rest,

a. Determine the speed of the car at t = 10 s.

b. At t=10s, the center motor is switched off and spins freely, but the car motor remains engaged. What is the force in the rod.

c. If at t =15s the car motor is also switched off, and brakes are applied that deliver a constant force of 10N, how long does it take for the car to come to rest after the brakes are applied.

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