Frisbee with resistance A (wobbling) frisbee moving through air is subject to a frictional couple equal to K ω. Find the time variation of the axial spin λ (= ω · a), where a is the axial unit vector. Show also that a satisfies the equation
Aa X a·· + K a X a· + Cλa· = 0.
By taking the cross product of this equation with a?, find the time variation of |a|. Deduce that the angle between ω and a decreases with time if C > A (which it is for a normal frisbee). Thus, in the presence of linear resistance, the wobble dies away.