hwk04 - ME563 Fall 2011 Purdue University West Lafayette IN...

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ME563 – Fall 2011 Purdue University West Lafayette, IN Homework Set No. 4 Assignment date : Friday, September 16 Due date : Friday, September 23 Please attach this cover sheet to your completed homework assignment. Name PUID _________________________________________ Problem 4.1 __________________ Problem 4.2 __________________ Problem 4.3 __________________ TOTAL __________________
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ME 563 – Fall 2011 Homework Prob. 4.1 The system shown below is made up of a block A of mass m , a dashpot with damping coefficient c and a spring of stiffness k . Let x be the generalized coordinate used to describe the motion of block A. During impact testing of this system, block A is struck by a hammer that pivots about point O. The head of the hammer, P, is to be modeled as a particle with mass M , and the mass of the handle of the hammer is to be considered negligible. Immediately prior to impact, the handle is rotating at a rate of ω , as indicated in the figure below. The coefficient of restitution of impact of P with A is e . The duration of the impact of P with A is assumed to be very short. Prior to impact, A is at rest.
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