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Unformatted text preview: ME 220 Homework #2 Dynamics of Mechanical Systems Due on February 19, 2008 Dr. B. Zhang (Instructor) Office Hours 10:00-11:00 (Mon &Wed) UTE Building, Room 384 and by appointment Phone: 486-2072 email@example.com 2.7 Consider the system in the following figure, write the equation of motion and calculate the response assuming (a) that the system is initially at rest, and (b) that the system has an initial displacement of 0.05 m. t t 10 sin 10 25 . 1 472 . 4 sin 10 795 . 2 3 3 = 2.10 Compute the initial conditions such that the response of ( ) t F kx x m cos = + & & oscillates at only one frequency . 2.13 Vibration of body parts is a significant problem in designing machines and structures. A jackhammer provides a harmonic input to the operators arm. To model this situation, treat the forearm as a compound pendulum subject to a harmonic excitation (say of mass 6 kg and length 44.2 cm) as illustrated in Figure P2.13. Consider point O as a fixed pivot. Compute the maximum deflection of the hand end of the arm if the jackhammer applies a force of 10 N at 2 Hz....
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- Spring '08