The figure shows two identical clutch plates (so they have the same moment of inertia I) rotating about frictionless axles with different angular velocities. The upper plate will be lowered onto the lower plate ("engaging" the clutch) and after a short time they will rotate together with the same final angular velocity. @0 7. Before the plates touch, what is the direction of the angular momentum of the top plate? Use the coordinate system defined in this diagram and explain your reasoning. 4000 8. Before the plates touch, what is the direction of the angular momentum of the bottom plate? Use the coordinate system defined in this diagram and explain your reasoning. 9. Determine the total angular momentum of the system consisting of both plates before they are brought together. 10. Does the total angular momentum of the system of two plates change after the plates touch, or does it stay the same? Explain your reasoning.

The figure shows two identical clutch plates (so they have the same moment of inertia I) rotating about frictionless axles with different angular velocities. The upper plate will be lowered onto the lower plate ("engaging" the clutch) and after a short time they will rotate together with the same final angular velocity. @0 7. Before the plates touch, what is the direction of the angular momentum of the top plate? Use the coordinate system defined in this diagram and explain your reasoning. 4000 8. Before the plates touch, what is the direction of the angular momentum of the bottom plate? Use the coordinate system defined in this diagram and explain your reasoning. 9. Determine the total angular momentum of the system consisting of both plates before they are brought together. 10. Does the total angular momentum of the system of two plates change after the plates touch, or does it stay the same? Explain your reasoning.