Mastering Physics Solutions: Exercise 13.72

Mastering Physics Solutions: Exercise 13.72

On December 27, 2011, in Chapter 13: Vibrations and Waves, by Mastering Physics Solutions

Part A = 0.82 Click to use the calculator/solver for this part of the problem

You are setting up two standing string waves. You have a length of uniform piano wire that is 4.0 m long and has a mass of 0.150 kg. You cut this into two lengths, one of 1.9 m and the other of 2.1 m, and place each length under tension. What should be the ratio of tensions (expressed as short to long) so that their fundamental frequencies are the same?

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Mastering Physics Solutions: Exercise 13.53

Mastering Physics Solutions: Exercise 13.53

On December 27, 2011, in Chapter 13: Vibrations and Waves, by Mastering Physics Solutions

Part A = 8.02km Click to use the calculator/solver for this part of the problem

A sonar generator on a submarine produces periodic ultrasonic waves at a frequency of 2.10 MHz. The wavelength of the waves in seawater is 7.27×10−4 m. When the generator is directed downward, an echo reflected from the ocean floor is received 10.5 s later. How deep is the ocean at that point?

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Mastering Physics Solutions: Exercise 13.40

Mastering Physics Solutions: Exercise 13.40

On December 27, 2011, in Chapter 13: Vibrations and Waves, by Mastering Physics Solutions

Part A = 0.276ms Click to use the calculator/solver for this part of the problem
Part B = 0.913m/s2 Click to use the calculator/solver for this part of the problem

During an earthquake, the floor of an apartment building is measured to oscillate in approximately simple harmonic motion with a period of 1.90 seconds and an amplitude of 8.35 cm.
Determine the maximum speed of the floor during this motion.
Determine the maximum acceleration of the floor during this motion.

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Mastering Physics Solutions: Exercise 13.12

Mastering Physics Solutions: Exercise 13.12

On December 27, 2011, in Chapter 13: Vibrations and Waves, by Mastering Physics Solutions

Part A = 1.2m/s Click to use the calculator/solver for this part of the problem
Part B = at the equilibrium position
Part C = 1.0m/s Click to use the calculator/solver for this part of the problem

A mass-spring system is in SHM in the horizontal direction. If the mass is 0.25 kg, the spring constant is 15 N/m, and the amplitude is 15 cm, what is the maximum speed of the mass? Where does this occur? What is the speed at a half-amplitude position?

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Mastering Physics Solutions: Standing Waves on a Guitar String

Mastering Physics Solutions: Standing Waves on a Guitar String

On December 26, 2011, in Chapter 13: Vibrations and Waves, by Mastering Physics Solutions

Part A = 40cm
Part B = 120cm
Part C = 384m/s Click to use the calculator/solver for this part of the problem
Part D = overtone number = pattern number -1
Part E = This is a complex tone with a fundamental of 400 Hz, plus some of its overtones.

Standing waves on a guitar string form when waves traveling down the string reflect off a point where the string is tied down or pressed against the fingerboard. the entire series of distortions may be superimposed on a single figure, like this (intro 2 figure) , indicating different moments in time using traces of different colors or line styles.
What is the wavelength of the longest wavelength standing wave pattern that can fit on this guitar string? How does the overtone number relate to the standing wave pattern number, previously denoted with the variable n?

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Mastering Physics Solutions: Wave and Particle Velocity Vector Drawing

Mastering Physics Solutions: Wave and Particle Velocity Vector Drawing

On December 26, 2011, in Chapter 13: Vibrations and Waves, by Mastering Physics Solutions

Part A = See diagram in the Solutions Below
Part B = See diagram in the Solutions Below

At the instant shown, orient vA and vB to correctly represent the direction of the wave velocity at points A and B.
At the instant shown, orient the given vectors vA and vB to correctly represent the direction of the velocity of points A and B.

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