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# 9.2 - MasteringPhysics Assignment Print View...

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Ch9_2 Due: 10:00pm on Wednesday, October 27, 2010 Note: You will receive no credit for late submissions. To learn more, read your instructor's Grading Policy [ Switch to Standard Assignment View] You should make a serious attempt at these problems before your October 27 workshop. You only have a couple of hours after the work shop to make final adjustments before the due time !! You will do poorly in the work shop if you are unprepared. !! If you need help consult the Help Blog and/or visit the help room. Introduction to Simple Harmonic Motion Consider the system shown in the figure. It consists of a block of mass attached to a spring of negligible mass and force constant . The block is free to move on a frictionless horizontal surface, while the left end of the spring is held fixed. When the spring is neither compressed nor stretched, the block is in equilibrium. If the spring is stretched, the block is displaced to the right and when it is released, a force acts on it to pull it back toward equilibrium. By the time the block has returned to the equilibrium position, it has picked up some kinetic energy, so it overshoots, stopping somewhere on the other side, where it is again pulled back toward equilibrium. As a result, the block moves back and forth from one side of the equilibrium position to the other, undergoing oscillations . Since we are ignoring friction (a good approximation to many cases), the mechanical energy of the system is conserved and the oscillations repeat themselves over and over. The motion that we have just described is typical of most systems when they are displaced from equilibrium and experience a restoring force that tends to bring them back to their equilibrium position. The resulting oscillations take the name of periodic motion . An important example of periodic motion is simple harmonic motion (SHM) and we will use the mass-spring system described here to introduce some of its properties. Part A Which of the following statements best describes the characteristic of the restoring force in the spring-mass system described in the introduction? Hint A.1

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