Consider a string with length L and both ends free/loose. What types of standing waves can we have in this case? Determine the fundamental frequency in terms of L, the speed of traveling waves v, and numerical factors. And then determine how all of the possible harmonics are related to the fundamental frequency. It might help to draw some pictures.

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Q: vx (cm/s) 60 30 0 -30 -60 3 6 9 9 -t(s) 12

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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.