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One end of a long taut string is moved up and down in SHM with an amplitude of 0.15 m and a frequency of 10 Hz. At time t = 0 the end of the string (at x = 0) has its maximum upward displacement. The resultant wave travels down the string in the positive x-direction with a velocity of 50 ms -1. Obtain an equation describing the wave. A wire hangs vertically from a ceiling with a mass of 10 kg attached to its lower end. The wire is 0.50 m long and weighs 25 g. (a) Calculate the wave %3D velocity along the wire and the wavelength and frequency of the fundamental mode of vibration. (b) If the maximum transverse displacement of the wire in the fundamental mode of vibration is 3.0 cm, calculate the largest values of velocity and acceleration that a particle of the wire can have.

One end of a long taut string is moved up and down in SHM with an amplitude of 0.15 m and a frequency of 10 Hz. At time t = 0 the end of the string (at x = 0) has its maximum upward displacement. The resultant wave travels down the string in the positive x-direction with a velocity of 50 ms -1. Obtain an equation describing the wave. A wire hangs vertically from a ceiling with a mass of 10 kg attached to its lower end. The wire is 0.50 m long and weighs 25 g. (a) Calculate the wave %3D velocity along the wire and the wavelength and frequency of the fundamental mode of vibration. (b) If the maximum transverse displacement of the wire in the fundamental mode of vibration is 3.0 cm, calculate the largest values of velocity and acceleration that a particle of the wire can have.

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Exercise 6 One end of a long taut string is moved up and down in SHM with an amplitude of 0.15 m and a frequency of 10 Hz. At time t = 0 the end of the string (at x = 0) has its maximum upward displacement. The resultant wave travels down the string in the positive x-direction with a velocity of 50 m s -1. Obtain an equation describing the wave. A wire hangs vertically from a ceiling with a mass of 10 kg attached to its lower end. The wire is 0.50 m long and weighs 25 g. (a) Calculate the wave • velocity along the wire and the wavelength and frequency of the fundamental mode of vibration. (b) If the maximum transverse displacement of the wire in the fundamental mode of vibration is 3.0 cm, calculate the largest values of velocity and acceleration that a particle of the wire can have.
Transcribed Image Text:Exercise 6 One end of a long taut string is moved up and down in SHM with an amplitude of 0.15 m and a frequency of 10 Hz. At time t = 0 the end of the string (at x = 0) has its maximum upward displacement. The resultant wave travels down the string in the positive x-direction with a velocity of 50 m s -1. Obtain an equation describing the wave. A wire hangs vertically from a ceiling with a mass of 10 kg attached to its lower end. The wire is 0.50 m long and weighs 25 g. (a) Calculate the wave • velocity along the wire and the wavelength and frequency of the fundamental mode of vibration. (b) If the maximum transverse displacement of the wire in the fundamental mode of vibration is 3.0 cm, calculate the largest values of velocity and acceleration that a particle of the wire can have.
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