Question
Derive the expression for total energy for a heavy symmetric top.
Answer :
Word Count : 321
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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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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