Homework #9
Due in class Friday December 4th.
- 9-63) Starts off simply enough and then takes you back to numerical integration!
- 11-13) A full inertia tensor.
- 11-16) Refresh your minds with the details of a rotation matrix in chapter
1 and this should be quite straightforward.
- One from Seth. A frisbee is thrown into the air with a definite wobble.
If air friction exerts a frictional torque -cω on the rotation of the frisbee,
show that the component of ω in the direction of the symmetry axis decreases
exponentially in time. Show also that the angle between the symmetry axis
and the angular velocity vector ω decreases in time if the moment of inertia
around the symmetry axis is larger than the other moment of inertia. (A
frisbee is a symmetric top.) Thus, the amount of wobble steadily diminishes
if there is air friction. Demo?
