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HW12-problems

# HW12-problems - markowitz(am45362 HW12 distler(56295 This...

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markowitz (am45362) – HW12 – distler – (56295) 1 This print-out should have 19 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 10.0points At t = 0 , a transverse wave pulse in a wire is described by the function y ( x, t = 0) = 6 x 2 + 3 , where x and y are in meters. The pulse is traveling in the positive x direction with a speed of 4 . 5 m / s . Which formula correctly describes the pulse at time t ? 1. y = 4 . 5 t + 6 x 2 + 3 2. y = 4 . 5 t + 6 x 2 + 3 3. y = 6 ( x 4 . 5 t ) 2 + 3 4. y = 6 4 . 5 t x 2 + 3 5. y = 6 ( x + 4 . 5 t ) 2 + 3 6. y = 4 . 5 t + 6 x 2 + 3 002 10.0points When a particular wire is vibrating with a fre- quency of 3 . 6 Hz, a transverse wave of wave- length 49 . 8 cm is produced. Determine the speed of wave pulses along the wire. Answer in units of m / s 003 10.0points An object of mass 0.1 kg is attached to a spring of negligible mass and is executing sim- ple harmonic oscillation with an angular fre- quency of 3 rad/s. If v x (0) = +0 . 5 m/s and x (0) = 0 . 1 m, what is the phase φ ? The general solution for such an oscillator is x ( t ) = A cos( ω t + φ ) . 1. 0 . 9911 2. 1 . 039 3. 3 . 142 4. 3 . 142 5. 4 . 173 6. 2 . 112 7. 0 . 519 8. +2 . 112 9. Zero 10. 1 . 03 004 10.0points One end of a string 2 . 56 m long is moved up and down with simple harmonic motion at a frequency of 69 Hz . The waves reach the other end of the string in 0 . 5 s . Find the wavelength of the waves on the string. Answer in units of cm 005(part1of3)10.0points A string of length 3 m consists of two sec- tions with equal length. The left half has a mass per unit length of 0 . 0003 kg / m, while the right half has a mass per unit length of 0 . 0009 kg / m. The tension in the string is 463 N. Notice from the data given that this string has the same total mass as a uniform string of length 3 m and mass per unit length 0 . 0006 kg / m. Find the speed at which transverse wave pulses travel in the left section. Answer in units of m / s 006(part2of3)10.0points Find the speed at which transverse wave pulses travel in the right section. Answer in units of m / s 007(part3of3)10.0points Find the time required for a pulse to travel from one end of the string to the other. Ne-

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markowitz (am45362) – HW12 – distler – (56295) 2 glect any reflection that may happen at the midpoint of the string.
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HW12-problems - markowitz(am45362 HW12 distler(56295 This...

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