As shown in the figure below, a string attached to a vertical wall passes over a pulley at the end of a horizontal rod, and supports a sphere. The horizontal rod has a length L = 0.320 m, the mass of the sphere is M = 1.20 kg, the string makes an angle ? = 38.0° with the rod, and, when the string is plucked, the fundamental frequency of standing waves in the portion of the string above the rod is f = 70.0 Hz. Determine the mass of the portion of the string above the rod (in g).

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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.