A uniform disk with mass m = 8.93 kg and radius R = 1.32 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 343 N at the edge of the disk on the +x-axis, 2) a force 343 N at the edge of the disk on the -y-axis, and 3) a force 343 N acts at the edge of the disk at an angle  = 35 above the -x-axis.

1)What is the magnitude of the torque on the disk about the z axis due to F₁? N-m

2)What is the magnitude of the torque on the disk about the z axis due to F₂? N-m

3)What is the magnitude of the torque on the disk about the z axis due to F₃? N-m

4)What is the x-component of the net torque about the z axis on the disk? N-m

5)What is the y-component of the net torque about the z axis on the disk? N-m

6)What is the z-component of the net torque about the z axis on the disk? N-m

7)What is the magnitude of the angular acceleration about the z axis of the disk? rad/s²

8)If the disk starts from rest, what is the rotational energy of the disk after the forces have been applied for t = 1.6 s?