Explanation Given Info : First string is hit by a hammer and Standing wave is setup in a string with both ends fixed. Formula to calculate wave length of a wave produced in a string with both ends fixed is, λ 1 = 2 L λ 1 is wave length of a wave produced in a string. L is the length of the string. Formula to calculate the speed of the wave in a string is, v = T 1 μ v is velocity of the wave in a string. T 1 is the tension in the first string. μ is the linear density of the strings. Formula to calculate the frequency of a wave in terms of speed of the wave and wave length is, f 1 = v λ 1 f 1 is the frequency of the wave. Substitute 2 L for λ 1 , T 1 / μ for v to find f 1 . f 1 = 1 2 L T 1 μ = T 1 4 L 2 μ (I) Formula to calculate the frequency of wave in second string from equation (I) is, f 2 = T 2 4 L 2 μ f 2 is the frequency in the second string. T 2 is the tension in the second string. Multiply and divide by T 1 . f 2 = T 1 4 L 2 μ ( T 2 T 1 ) = ( T 1 4 L 2 μ ) T 2 T 1 = f 1 T 2 T 1 Thus, the expression for the frequency of wave in second string is f 2 = f 1 T 1 T 1

11th Edition

ISBN: 9781305965522

Author: SERWAY

Publisher: CENGAGE L

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Chapter 14, Problem 63P

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The beat frequency heard when the hammer strikes the two strings simultaneously.

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Chapter 14, Problem 62P

Chapter 14, Problem 64P

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Chapter 14 Solutions

COLLEGE PHYSICS,V.2

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The beat frequency heard when the hammer strikes the two strings simultaneously.

Solution Summary: The author explains how to determine the beat frequency of a hammer hitting two strings simultaneously.

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Chapter 14 Solutions