A uniform disk with mass m = 8.98 kg and radius R = 1.33 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 300 N at the edge of the disk on the +x-axis,
2) a force 300 N at the edge of the disk on the -y-axis, and
3) a force 300 N acts at the edge of the disk at an angle θ = 37o above the -x-axis.
1) What is the magnitude of the torque on the disk about the z axis due to F1?
2) What is the magnitude of the torque on the disk about the z axis due to F2?
3) What is the magnitude of the torque on the disk about the z axis due to F3?
4) What is the x-component of the net torque about the z axis on the disk?
5) What is the y-component of the net torque about the z axis on the disk?
6) What is the z-component of the net torque about the z axis on the disk?
7) What is the magnitude of the angular acceleration about the z axis 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 = 1.7 s?