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Sears and Zemansky's University Physics with Modern Physics | 13th Edition | ISBN: 9780321696861 | Authors: Hugh D. Young; Roger A. Freedman; A. Lewis Ford
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Answer: CALC A transverse sine wave with an amplitude of

Chapter 15, Problem 51P

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QUESTION:

CALC A transverse sine wave with an amplitude of 2.50 mm and a wavelength of 1.80 m travels from left to right along a long, horizontal, stretched string with a speed of 36.0 m/s. Take the origin at the left end of the undisturbed string. At time t = 0 the left end of the string has its maximum upward dis-placement. (a) What are the frequency, angular frequency, and wave number of the wave? (b) What is the function y(x, t) that describes the wave? (c) What is y(t) for a particle at the left end of the string? (d) What is y(t) for a particle 1.35 m to the right of the origin? (e) What is the maximum magnitude of transverse velocity of any particle of the string? (f) Find the transverse displacement and the transverse velocity of a particle 1.35 m to the right of the origin at time t = 0.0625 s.

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QUESTION:

CALC A transverse sine wave with an amplitude of 2.50 mm and a wavelength of 1.80 m travels from left to right along a long, horizontal, stretched string with a speed of 36.0 m/s. Take the origin at the left end of the undisturbed string. At time t = 0 the left end of the string has its maximum upward dis-placement. (a) What are the frequency, angular frequency, and wave number of the wave? (b) What is the function y(x, t) that describes the wave? (c) What is y(t) for a particle at the left end of the string? (d) What is y(t) for a particle 1.35 m to the right of the origin? (e) What is the maximum magnitude of transverse velocity of any particle of the string? (f) Find the transverse displacement and the transverse velocity of a particle 1.35 m to the right of the origin at time t = 0.0625 s.

ANSWER:

Solution 51 P

Step 1:

Introduction :

In this question, we need to find frequency, angular frequency and wavenumber of the wave

In the second part we need to find function that describes the wave

In the third part we need to find the y(t) of the particle at the left end of the string

In the fourth part we need to find y(t) of the particle at the right origin of the string at 1.35 m

 

In the fifth part we need to find the maximum magnitude of transverse velocity of any particle of the string

And finally find the transverse displacement and transverse velocity of particle 1.35 m to the right origin at time t=0.0625 s

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