In the figure below, a string tied over a support at  Q, is stretched by a block of mass m.  Separation L = 1.20 m, linear density μ = 1.6 g/m, ant the oscillator frequency f = 120.0 Hz.  Assume P and Q are nodes.  What mass m allows the oscillator to set up the fourth harmonic on the string?  Determine the wavelength based upon the length and the number of waves shown in the figure.  Then, determine the required tension required to achieve the necessary velocity v=λf and v=(T/μ)0.5.  Then determine the mass necessary to achieve this tension.  T = mg.  Use g = 10 N/kg

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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.