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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Stretched string

A stretched string is a wire which is made up of any metal that must have a larger length compared to its thickness. The ends of the wire are fixed, and when they oscillate or are plucked, it produces two reflected transverse waves of the same frequency and same amplitude. The waves or pulses are traveling in alternate directions and superimpose with one another. This waveform is named standing or stationary waves.