Homework3_2010

# Homework3_2010 - ME 562 Advanced Dynamics Summer 2010 HOMEWORK 3 Due Q1 Consider the particle of mass m located in the center of a box of sides 2l

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ME 562 Advanced Dynamics Summer 2010 HOMEWORK # 3 Due: June 21, 2010 Q1. Consider the particle of mass m located in the center of a box of sides 2l and constrained to move in the horizontal plane by the four identical and linearly elastic springs with spring constant k each. Each of the springs has free length l . Let O be the origin of the coordinate system located at the center of the box. To derive the equation of motion of the particle, we displace the mass particle now to a position with coordinates ( x , y ). Then, derive (i) the forces in each of the spring as they act on the mass particle, (ii) the general equations for motion for the particle in the ( x , y ) coordinates. Note: you are not to make any assumptions regarding the size of displacement relative to the size of the box other than that the springs never get compressed to zero length. Q2. Follow the developments in class notes and (i) re-derive (include all the details of derivation of expression for the inertial acceleration) the equations

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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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Homework3_2010 - ME 562 Advanced Dynamics Summer 2010 HOMEWORK 3 Due Q1 Consider the particle of mass m located in the center of a box of sides 2l

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