(a) Explanation Write the equation for the frequency of vibration of the string. f = v λ (I) Here, λ is the wavelength of the waves on the string and v is speed of the waves. Write the equation for the speed of the waves v on the string. v = T μ (II) Here, T is the tension on string and μ is the mass per unit length of the string. Write the equation for the mass per unit length of the string μ = m L (III) Here, m is the mass of the string and L is the length of the string. Substitute equation (III) in equation (II). v = T L m (IV) Write equation for the wavelength of the string in first normal mode. λ = 2 L (V) Here, L is the length of the string. Substitute equation (IV) and equation (V) in equation (I) (b) To determine The frequency of vibration

Principles of Physics: A Calculus-Based Text

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Publisher: Cengage Learning

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Chapter 14, Problem 27P

(a)

To determine

The tension on the string

(b)

To determine

The frequency of vibration

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Chapter 14, Problem 26P

Chapter 14, Problem 28P

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Chapter 14 Solutions

Principles of Physics: A Calculus-Based Text

Ch. 14.1 - Prob. 14.1QQ Ch. 14.2 - Prob. 14.2QQ Ch. 14.3 - When a standing wave is set up on a string fixed...Ch. 14.4 - Prob. 14.4QQ Ch. 14.4 - Prob. 14.5QQ Ch. 14.5 - You are tuning a guitar by comparing the sound of...Ch. 14 - A flute has a length of 58.0 cm. If the speed of...Ch. 14 - Prob. 2OQ Ch. 14 - In Figure OQ14.3, a sound wave of wavelength 0.8 m...Ch. 14 - Prob. 4OQ

Ch. 14 - Prob. 5OQ Ch. 14 - Prob. 6OQ Ch. 14 - Prob. 7OQ Ch. 14 - Prob. 8OQ Ch. 14 - Prob. 9OQ Ch. 14 - Prob. 10OQ Ch. 14 - A standing wave having three nodes is set up in a...Ch. 14 - Prob. 1CQ Ch. 14 - Prob. 2CQ Ch. 14 - Prob. 3CQ Ch. 14 - Prob. 4CQ Ch. 14 - What limits the amplitude of motion of a real...Ch. 14 - Prob. 6CQ Ch. 14 - Prob. 7CQ Ch. 14 - Prob. 8CQ Ch. 14 - Prob. 1P Ch. 14 - Prob. 2P Ch. 14 - Prob. 3P Ch. 14 - Prob. 4P Ch. 14 - Prob. 5P Ch. 14 - Prob. 6P Ch. 14 - Prob. 7P Ch. 14 - Prob. 8P Ch. 14 - Prob. 9P Ch. 14 - Prob. 10P Ch. 14 - Prob. 11P Ch. 14 - Prob. 12P Ch. 14 - Prob. 13P Ch. 14 - Prob. 14P Ch. 14 - Prob. 15P Ch. 14 - Prob. 16P Ch. 14 - Prob. 17P Ch. 14 - Prob. 18P Ch. 14 - Prob. 19P Ch. 14 - Prob. 20P Ch. 14 - A string with a mass m = 8.00 g and a length L =...Ch. 14 - Prob. 22P Ch. 14 - Prob. 23P Ch. 14 - Prob. 24P Ch. 14 - Prob. 25P Ch. 14 - Review. A sphere of mass M is supported by a...Ch. 14 - Prob. 27P Ch. 14 - Prob. 28P Ch. 14 - Prob. 29P Ch. 14 - Prob. 30P Ch. 14 - Prob. 31P Ch. 14 - The overall length of a piccolo is 32.0 cm. The...Ch. 14 - Prob. 33P Ch. 14 - Prob. 34P Ch. 14 - Two adjacent natural frequencies of an organ pipe...Ch. 14 - Do not stick anything into your ear! Estimate the...Ch. 14 - Prob. 37P Ch. 14 - As shown in Figure P14.37, water is pumped into a...Ch. 14 - Prob. 39P Ch. 14 - Prob. 40P Ch. 14 - Prob. 41P Ch. 14 - Why is the following situation impossible? A...Ch. 14 - 23. An air column in a glass tube is open at one...Ch. 14 - Prob. 44P Ch. 14 - Prob. 45P Ch. 14 - Prob. 46P Ch. 14 - Prob. 47P Ch. 14 - Prob. 48P Ch. 14 - Some studies suggest that the upper frequency...Ch. 14 - Prob. 50P Ch. 14 - An earthquake can produce a seiche in a lake in...Ch. 14 - Prob. 52P Ch. 14 - Prob. 53P Ch. 14 - Prob. 54P Ch. 14 - Prob. 55P Ch. 14 - A nylon string has mass 5.50 g and length L = 86.0...Ch. 14 - Prob. 57P Ch. 14 - Prob. 58P Ch. 14 - Prob. 59P Ch. 14 - Review. For the arrangement shown in Figure...Ch. 14 - Prob. 61P Ch. 14 - Prob. 62P Ch. 14 - Prob. 63P Ch. 14 - Prob. 64P Ch. 14 - Prob. 65P Ch. 14 - Prob. 66P Ch. 14 - Prob. 67P Ch. 14 - Review. Consider the apparatus shown in Figure...Ch. 14 - Prob. 69P

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