(a) Using the notation and initial conditions of the example in Section 8.7.6, and assuming ?3 >> ?? >> ?s, find (approximately) the direction of the angular momentum right after the sideways kick takes place.(b) Use eqs. (8.88) to then show that the CM travels (approximately) in a circle around L. And show that this ??circular?? motion is just what you would expect from the reasoning in Section 8.6.2 (in particular, eq. (8.53)), concerning the free top.

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ΔΩ sinwnt, (t) Nt + ΔΩ sin 6) coswnt. wn (8.88) ΔΩ sin 0g) + Wn (?) (8.53) L.