Consider a setup of a string where one is end attached to a vibrator of fixed frequency f while the other end of the string passes over a pulley and has a mass m hanging off of it. There is a distance L between the string’s points of contacts with the vibrator and the pulley, and you can consider these points of contact to be fixed. Given that the string forms a standing wave in the fourth harmonic along the length L , derive an equation for the linear mass density μ of the string in terms of the given parameters f, m, L, and any other known constants.   I am not sure of how to set up this equation.

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Equation of Waves

Wave is an oscillation or disturbance traveling in a medium. It performs the transportation of energy but does not carry any matter. This motion of waves will transport fuel in a medium without permanent transfer of mass (particle).