A uniform disk with mass m 929 kg and radius R143 m lies in

A uniform disk with mass m 9.29 kg and radius R-1.43 m lies in the xy plane and centered at the origin. forces act in the y-direction on the disk: 1) a force 347 N at the edge of the disk on the x axis, 2) a force 347 N at the edge of the disk on the -y-axis, and 3) a force 347 N acts at the edge of the disk at an angle \" 30 above the -x-axis. Three 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? )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? 7What is the magnitude of the angular acceleration about the z axis of the disk? 2 Submit

Solution

1. 1 = F1*R = 347N * 1.43m = 496.21 N·m

2. 2 = 0, since angle between force and r vector is 180 degree.

3. 3 = F3*R*cos30º = 429.73 N·m

4. Torque from F2 is zero and both torque from F1 and F3 are in z dirrection and there is no x component.

5.   Torque from F2 is zero and both torque from F1 and F3 are in z dirrection and there is no y component.

6. 1 is in +z direction and 2 is zero and 3 is in -z direction therefore z = 1-3 =496.21-429.73 = 66.48 N-m