# Analyze the motion of a symmetric top thrown in air

Problem: Analyze the motion of a symmetric top (I_1=I_2>I_3) thrown into air.

(a) First assume the top is thrown with initial angular velocity w_0 along the axis of I3 and initial linear velocity v_0. What are the total kinetic energy and the total angular momentum?

(b) Next, throw the top into air with initial angular velocity w_0 along the axis of I1 and initial linear velocity v_0. What is the total kinetic energy and the total angular momentum? Compare the results with those of part (a)

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#### Solution Preview

a) Total kinetic energy = rotational KE (Krot) + translational KE (Ktrans)

K_a = (1/2)*I_3*w_o^2 + (1/2)*m*v_o^2 [m = mass of the ...

#### Solution Summary

This solution analyzes the motion of a symmetric top when it is thrown into air.

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