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File Edit View History Bookmarks People Window Help Fri 12:44 AM Mastering Physics: Ch 14 post-Uecture Assignment Secure https:/Isession.masteringphysics. assignmentProblemID 77684960 PHYS 1210 College Physics I [Spring 2017] ch 14 Posted ecture Assignmont Energy of Harmonic Oscilators previous 9 of 12 next Energy of Harmonic Oscillators As you know, a common example of a harmonic oscillator is a mass attached to a spring. In this problem, we wil consider a horizontally moving block attached to a spring. Note that, sinoe the Learning Goal: gravitational potential energy is not changng in this case, it can be excluded from the calculations. To learn to apply the law of conservation of energy to the For such a system, the potential energy is stored in the spring and is given by analysis of harmonic oscillators, Systems in simple harmonic motion, or harmonic oscillators, obey the law of conservation of energy just where kis te force constant of the spring and z isthe distance from the equibrium position like all other systems do. Using energy considerations, nna rain analvann manu avunavrhu nf mnhinwn nf the The kinetic energy of the system is, as of 1 where m is the mass of the block and is the speed of the block. We will also assume that there are no resistive foroes; that is, E constant. Consider a harmonic oscillator at four different moments, laboled A, B. C, and D, as shown in the figure (Eigum 1 Assume that the force constant k, the mass of the block. m, and the amplitude of vibrations, A. are given. Answer the following questions Part A Which moment corresponds to the maximum potential onergy of the system?

Explanation / Answer

The maximum PE is when the spring is fully compressed. D might look like the right answer, but actually A is when the spring is at amplitude. Even though it’s stretched, that still counts as compression: A

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