Homework7_2010 - ME 562 Advanced Dynamics Summer 2010...

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ME 562 Advanced Dynamics Summer 2010 HOMEWORK # 7 Due: August 2, 2010 Q1. (see Problem 6-24 in the text). A disk of radius R rotates about its fixed vertical axis of symmetry at a constant rate . A simple pendulum of length l and particle mass m is attached at a point on the edge of the disk. As generalized coordinates, let be the angle of the pendulum from the downward vertical, and let be the angle between the vertical plane of the pendulum and the vertical plane of the radial line from the center of the disk to the attachment point, where positive is in the same sense as . 1. Find T 2 , T 1 , and T 0 . 2. Obtain the differential equations of motion. 3. Assuming that R= l, 2 = g /2 l , and the initial conditions are (0) = 0, (0) 0 , show that cannot exceed 72.93 o . Q2. (see Problem 6-11 in the text for a figure). Consider the system shown. It consists of particles 1 m and 2 m that are connected by a massless rod of length l . These particles move on a frictionless horizontal plane, the motion of
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This note was uploaded on 12/27/2011 for the course ME 562 taught by Professor Bajaj during the Fall '10 term at Purdue University-West Lafayette.

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Homework7_2010 - ME 562 Advanced Dynamics Summer 2010...

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