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In the arrangement shown in the figure, a mass can be hung from a string (with a linear mass density of μ=0.00165 kg/m) that passes over a light pulley. The string is connected to a vibrator (of constant frequency f), and the length of the string between point P and the pulley is L=2.00 m. When the mass m is either 15.9 kg or 24.8 kg, standing waves are observed; however no standing waves are observed with any mass between these values.
What is the frequency of the vibrator? (Hint: The greater the tension in the string the smaller the number of nodes in the standing wave.)
B)What is the largest mass for which standing waves could be observed?
For part A i have found the velocity and i am thinking of equationg two equations to find the wavelenghts of both masses and then finding the frequencies of of those masses.
But i do not know how to solve the problem mathematically
As for part B, i am completely lost on how to determine the mass.
Please can anyone give me some detialed help
What is the frequency of the vibrator? (Hint: The greater the tension in the string the smaller the number of nodes in the standing wave.)
B)What is the largest mass for which standing waves could be observed?
For part A i have found the velocity and i am thinking of equationg two equations to find the wavelenghts of both masses and then finding the frequencies of of those masses.
But i do not know how to solve the problem mathematically
As for part B, i am completely lost on how to determine the mass.
Please can anyone give me some detialed help