A uniform disk with mass m = 9.09 kg and radius R = 1.37 m lies in the x-y plane and centered at the origin. Three forces act in the +y-direction on the disk: 1) a force 317 N at the edge of the disk on the +x-axis, 2) a force 317 N at the edge of the disk on the –y-axis, and 3) a force 317 N acts at the edge of the disk at an angle ? = 32° above the –x-axis.

1) What is the magnitude of the torque on the disk due to F1?

2) What is the magnitude of the torque on the disk due to F2?

3) What is the magnitude of the torque on the disk due to F3?

4) What is the x-component of the net torque on the disk?

5) What is the y-component of the net torque on the disk?

6) What is the z-component of the net torque on the disk?

7) What is the magnitude of the angular acceleration of the disk?

8) If the disk starts from rest, what is the rotational energy of the disk after the forces have been applied for t = 1.5 s?