The carnival ride shown above is a single arm of length L that slowly rotates in...

  

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The carnival ride shown above is a single arm of length L that slowly rotates in a circle around the support pivot. Gravity is the main force acting on the ride car. Its position is controlled by a motor at the pivot point so that it rotates in a circle as such, Icar = L(cos 0.1ti + sin 0.1tj) and the force of gravity acts in F = -mgj a. Draw a free body diagram that includes the motor torque and the force of gravity on the car b. If the car is 200 kg and the arm is L= 10 m, what is the torque that the motor applies as a function of time, t? g L Figure 1: Carnival ride with arm length L rotating in a vertical circle The carnival ride shown above is a single arm of length L that slowly rotates in a circle around the support pivot. Gravity is the main force acting on the ride car. Its position is controlled by a motor at the pivot point so that it rotates in a circle as such, Icar = L(cos 0.1ti + sin 0.1tj) and the force of gravity acts in F = -mgj a. Draw a free body diagram that includes the motor torque and the force of gravity on the car b. If the car is 200 kg and the arm is L= 10 m, what is the torque that the motor applies as a function of time, t? g L Figure 1: Carnival ride with arm length L rotating in a vertical circle