4. **Frisbee loss. A frisbee can be approximated as a rigid body with a symmetry axis. In a good throw, the initial angular velocity is approximately parallel to the symmetry axis. (a) The frisbee's motion combines rotational and center-of-mass motion. Sketch the velocity vectors associated with translation, rotation, and the combined velocity vector at four edges of the frisbee. Explain in words why there is a frictional torque exerted on the frisbee that opposes the rotation. (b) Modeling the frictional torque as -ow with c a constant, show that the compo- nent of w in the direction of the symmetry axis decreases exponentially with time. (c) Is a frisbee prolate or oblate? What does this imply about the relative size of the moment of inertia along the symmetry axis compared to the moments of inertia perpendicular to it? (d) Show that the angle between w and the symmetry axis steadily decreases. [Hint: an appropriate combination of w and wy simplifies the equations of motion-consult page 399.] (e) In one sentence, what do these results imply about the stability of a well-thrown frisbee toss