Question
Derive the expression for total energy for a heavy symmetric top.
Answer :
Word Count : 321
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For a heavy symmetric top, the top has symmetry about its axis of rotation (say, the z-axis in the body frame), with a fixed point at the tip. Let (I_1 = I_2 \neq I_3) be the principal moments of inertia about the axes perpendicular and along the symmetry axis, respectively. Let (M) be the mass of the top, (g) the acceleration due to gravity, and (l) the distance from the fixed point to the center of mass. The configuration of
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