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Unformatted text preview: Solution for Homework 28 Waves II, Periodic Motion Problems Solution to Homework Problem 28.1() Problem: When a wave pulse encounters a fixed boundary, what form does the resulting pulse take (assume there is no loss of energy)? Solution If no energy is lost when a pulse encounters a fixed boundary, then an inverted pulse, otherwise identical to the incident pulse will be reflected (transmitted in the opposite direction). Total Points for Problem: 2 Points Solution to Homework Problem 28.2() Problem: Consider this situation: String 1 is connected to String 2 , and String 2 is heavy in comparison to String 1 . A pulse is incident on String 1 . In general terms, how will the reflected and transmitted pulses behave in both strings? Solution There will be a transmitted pulse down String 2 that is identical in orientation to the incident pulse (i.e. it is not inverted), but it will have a smaller amplitude and move slower along the heavier string than the incident pulse did down the lighter string. The transmitted pulse will therefore have a shorter wavelength than the incident pulse. There will also be a reflected pulse down String 1 that is inverted in relation to the incident pulse, with wavelength identical to the incident pulse, but smaller amlitude (conserving energy). 1 point(s) : Transmitted pulse has same orientation, smaller amplitude, and smaller wavelength than incident pulse. 1 point(s) : Reflected pulse is inverted, has same wavelength but smaller ampli- tude. Total Points for Problem: 2 Points Solution to Homework Problem 28.3() Problem: A particle undergoes simple harmonic motion given by the position function x ( t ) = (8 . 0cm)cos ( (2 . 0s- 1 ) t + 3 ) . (a)What is the amplitude of the motion?...
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