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Unformatted text preview: M which can rotate about the xed point O, as shown below. (a) Select a complete and independent set of generalized coordinates. (Please dene these coordinates clearly .) (b) Derive the Lagrangian equations of motion without making any approximations (small angles, etc.). L g R O 2 Courtesy of Prof. T. Akylas. Used with permission. Problem 3 Consider a bead of mass m sliding without friction on a rotating ring with radius r and negligible mass, as shown in the Fgure. The ring rotates about the vertical axis with constant angular velocity . Derive the equation of motion of the bead using DAlemberts principle. 3...
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- Fall '04