ME220HW#1 Solutions

ME220HW#1 Solutions - ME 220 Homework #1 Dynamics of...

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1 ME 220 Homework #1 Dynamics of Mechanical Systems Due on February 12, 2008 Dr. B. Zhang (Instructor) Office Hours 10:00-11:00 (Mon &Wed) UTE Building, Room 384 and by appointment Phone: 486-2072 zhang@engr.uconn.edu 1.6 Find the equation of motion for the system of shown below, and find the natural frequency. In particular, using static equilibrium along with Newton’s law, determine what effect gravity has on the equation of motion and the system’s natural frequency. Assume the block slides without friction.
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2 1.13 Determine the natural frequency of the two systems illustrated below.
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3 1.16 A machine part is modeled as a pendulum connected to a spring as illustrated below. Ignore the mass of pendulum’s rod and derive the equation of motion. Then following the procedure used in Example 1.1.1, linearize the equation of motion and compute the formula for the natural frequency. Assume that the rotation is small enough so that the spring only deflects horizontally.
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4 1.25 A foot pedal mechanism for a machine is crudely modeled as a pendulum connected to a spring
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ME220HW#1 Solutions - ME 220 Homework #1 Dynamics of...

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