Hwk89A_combination - 1 1 Problem 4 The fgure below is a history graph at x = 0 m oF a wave traveling in the positive x-direction at 4 0 m s(a What

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PHYS 153 Homework 8A Problem 1 An oscillator with a mass of 500 g and a period of 0 . 50 s has an amplitude that decreases by 2.0% during each complete oscillation. (a) If the initial amplitude is 10 cm, what will be the amplitude after 25 oscillations? (b) At what time will energy be reduced to 60% of its initial value? Problem 2 A 200 g oscillator in a vacuum chamber has a frequency of 2 . 0 Hz. When air is admitted, the oscillation decreases to 60% of its initial amplitude in 50 s. How any oscillations will have been completed when the amplitude is 30% of its initial value? Problem 3 A fellow student with a mathematical bent tells you that the wave function of a traveling wave on a thin rope is y ( x, t ) = 2 . 30 mm cos [(6 . 98 rad/m) x + (742 rad/s) t ] Being more practical, you measure the rope to have a length of 1 . 35 m and a mass of 0 . 00338 kg. You are then asked to determine the following: (a) amplitude; (b) frequency; (c) wavelength; (d) wave speed: (e) direction the wave is traveling; (f) tension in the rope; (g) average power transmitted by the wave.
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Unformatted text preview: 1 - 1 Problem 4 The fgure below is a history graph at x = 0 m oF a wave traveling in the positive x-direction at 4 . 0 m / s. (a) What is the wavelength? (b) What is the phase constant oF the wave? (c) Write the displacement equation For this wave.-0.1 0.1 0.2 0.3 0.4 0.5 t H s L-2-1 1 2 D H mm L History graph at x = 0 m Wave traveling right at 4.0 m s Problem 5 A string with linear density 2 . 0 g / m is stretched along the positive x-axis with tension 20 N. One end oF the string, at x = 0 m, is tied to a hook that oscillates up and down at a Frequency oF 100 Hz with a maximum displacement oF 1 . 0 mm. At t = 0 s, the hook is at its lowest point. (a) What are the wave speed on the string and the wavelength? (b) What are the amplitude and phase constant oF the wave? (c) Write the equation For the displacement y ( x, t ) oF the traveling wave. (d) What is the strings displacement at x = 0 . 50 m and t = 15 ms? 1 - 2...
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This note was uploaded on 04/26/2009 for the course PHYS 153 taught by Professor Measday during the Winter '08 term at The University of British Columbia.

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Hwk89A_combination - 1 1 Problem 4 The fgure below is a history graph at x = 0 m oF a wave traveling in the positive x-direction at 4 0 m s(a What

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