A Frisbee with $$# $=$$ and $!="=$ is thrown so that it possesses a definite wobble.

Assuming air friction exerts a frictional torque

$=$

on rotation $($ is a constant$)$ and that all other forces may be ignored, use Euler$$s equations to a Show that the component $$# of angular velocity along the symmetry $3-$axis of the Frisbee decreases exponentially with time.

b$.$ Show that the magnitude of the projection $(1^2+$w$2^2)^1/2$ of the angular velocity in the $1-2$ plane of the Frisbee also decreases exponentially with time.

c$.$ Decide whether the degree of wobble, represented by the angle $$ between the

symmetry $3-$axis and the angular velocity vector $,$ decreases or increases with

time.