hwk02 - ME563 Fall 2011 Purdue University West Lafayette,...

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ME563 – Fall 2011 Purdue University West Lafayette, IN Homework Set No. 2 Assignment date : Friday, September 2 Due date : Friday, September 9 Please attach this cover sheet to your completed homework assignment. Name PUID _________________________________________ Problem 2.1 __________________ Problem 2.2 __________________ Problem 2.3 __________________ TOTAL __________________
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ME 563 – Fall 2011 Homework Prob. 2.1 A homogeneous wheel having a radius of R and mass of M rolls without slipping on a horizontal surface. A massless, inextensible cable is attached to the center of mass G of the wheel and to a block B (having a mass of m). The cable is pulled over a massless pulley. A spring of stiffness k is attached between G and a fixed wall. The coordinate x describes the position of G, with x being zero when the spring is unstretched. a) Use Lagrange’s equations to develop the EOM for this single-DOF system using the generalized coordinate of x. Assume that the cable remains taut for all motion.
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This document was uploaded on 12/23/2011.

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hwk02 - ME563 Fall 2011 Purdue University West Lafayette,...

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