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quiz1 - Fall 2004 2.032 DYNAMICS Quiz No 1 Monday This is a...

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2.032 DYNAMICS Fall 2004 Quiz No. 1 Monday, October 25, 2004 This is a CLOSED-BOOK, open-notes Quiz. Problem 1 (20 points) Servomotors make the flywheel spin at a constant rate ω 2 , and also impose a vertical rotation rate ω 1 that is a function of time (see figure below). The center of mass of the flywheel is located on the z axis, and the centroidal moments of inertia are I 1 about the spin axis and I 2 transverse to that axis. (a) Derive the equations of motion for the system.
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