musical string instrument, has a string with a linear mass density of 5 g/m, vibrating in its fifth harmonic mode, and it produces a wave of frequency 768 Hz when tightened to a tension of 80 N. Sketch the corresponding standing wave pattern and find the length of the string? Remember that it is in the fifth harmonic mode. Thank you

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A: For solution refer below images.

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Q: (1) A rigid bar (OA)with mass m and length L is simply supported at one end and free at the other…

A: For solution refer below images.

Free undamped vibrations

Whenever an object/system displaces in either side of its equilibrium position with the help of an external/internal means, then the object/system moves regularly or randomly on both sides of its equilibrium position. This motion is called vibration. Generally, there are three types of vibration: longitudinal vibration, transverse vibration, and torsional vibration.