Unformatted text preview: ergy: Principal I:
Principal axes: Kinetic energy:
Potential Energy:
Internal conservative forces: Total Energy: Euler angles:
Three rotations are sufficient to rotate a body to its principal
orientation
0. Start with
1. Rotate by angle about axis
2. Rotate by angle about axis
3. Rotate by angle about axis
Kinetic Energy:
For a symmetric body, last rotation is unnecessary
Kinetic energy in terms of rate of change in Euler angles: Lagrangian:
Generalized coordinates of particles:...
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 Fall '08
 MoChen
 mechanics, Energy, Force, Kinetic Energy, Mass, Hyperbolic orbit

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