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Unformatted text preview: R to be inertial while B to be a body ±xed frame. Compute the time derivative of the inertia tensor relative to R and B . Problem 2 (20pts): On integrals of motion Assume the angular velocity of a rigid body, vω , satis±es the rotational dynamics we have seen in class with no external torques applied. Show that the following quantities are integrals of motion of these rotational dynamics: 1. H = ∑ i ( ∑ j I i,j .ω j ) 2 2. T = 1 2 ∑ i,j I i,j ω i ω j where I i,j denotes the ( i, j ) component of the inertia matrix and ω i the coordinates of vω , both expressed in a body frame. 1...
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This note was uploaded on 03/13/2010 for the course MAE 19100 taught by Professor Villac during the Winter '10 term at UC Irvine.
- Winter '10