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Unformatted text preview: http://andreas-bischoff.dyndns.org/lehre/KURSE/PRT001/course_main. .. 2 of 3 10/28/2010 9:16 AM and for the potential energy we find: where is the gravitational constant. The resulting Lagrangian is: Herein the generalized coordinates are . Substituting the Lagrangian into Lagrange's equation of motion we find the following individual terms: Example: Spherical pendulum http://andreas-bischoff.dyndns.org/lehre/KURSE/PRT001/course_main. .. 3 of 3 10/28/2010 9:16 AM Thus the dynamics of the system are given by: (5.7) Given the initial position and velocity of the center of mass, equation ( 5.7 ) uniquely describes the motion of the pendulum. Next: Inertia of rigid bodies Up: LAGRANGE's equations Previous: First formulations Contents Michael Gerke 2001-01-18...
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- Spring '10
- Kinetic Energy, spherical pendulum