Find the time variation, By taking the cross product of

Find the time variation

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Reference no: EM131383693

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.

Reference no: EM131383693

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