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Unformatted text preview: M which can rotate about the ﬁxed point O, as shown below. (a) Select a complete and independent set of generalized coordinates. (Please deﬁne 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 Ω. Derive the equation of motion of the bead using D’Alembert’s principle. 3...
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This note was uploaded on 02/24/2012 for the course MECHANICAL 2.032 taught by Professor Georgehaller during the Fall '04 term at MIT.
- Fall '04