A string with a mass m = 8 g and a length L = 5 m has one end attached to a wall, the other end goes over a small massless pulley. At the other side of the pulley, an object with mass M = 6 kg is attached. The length of the string between the wall and the pulley, is d = 4m.a) What is the linear mass density of the string, μ ?b) If the string is plucked, what is the fundamental frequency of its vibration?c) If we change the string with another one having the linear mass density double than the first one (but the same length), what should be the mass of the attached object so that the fundamental frequency is the double of its previous value?

Given, string with a mass m = 8 g = 0.008 kg and a length L = 5 m has one end attached to a wall,…

Answered: A string with a mass m = 8 g and a…

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter14: Superposition And Standing Waves

Section: Chapter Questions

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A string with a mass m = 8 g and a length L = 5 m has one end attached to a wall, the other end goes over a small massless pulley. At the other side of the pulley, an object with mass M = 6 kg is attached. The length of the string between the wall and the pulley, is d = 4m.

a) What is the linear mass density of the string, μ ?
b) If the string is plucked, what is the fundamental frequency of its vibration?
c) If we change the string with another one having the linear mass density double than the first one (but the same length), what should be the mass of the attached object so that the fundamental frequency is the double of its previous value?

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