437_Physics ProblemsTechnical Physics

437_Physics ProblemsTechnical Physics - 15 Oscillatory...

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15 CHAPTER OUTLINE 15.1 Motion of an Object Attached to a Spring 15.2 Mathematical Representation of Simple Harmonic Motion 15.3 Energy of the Simple Harmonic Oscillator 15.4 Comparing Simple Harmonic Motion with Uniform Circular Motion 15.5 The Pendulum 15.6 Damped Oscillations 15.7 Forced Oscillations Oscillatory Motion ANSWERS TO QUESTIONS Q15.1 Neither are examples of simple harmonic motion, although they are both periodic motion. In neither case is the acceleration proportional to the position. Neither motion is so smooth as SHM. The ball’s acceleration is very large when it is in contact with the floor, and the student’s when the dismissal bell rings. Q15.2 You can take φπ = , or equally well, =− . At t = 0, the particle is at its turning point on the negative side of equilibrium, at xA . Q15.3 The two will be equal if and only if the position of the particle
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