In the arrangement shown above, an object can be hung from a string (with linear
ID: 2208161 • Letter: I
Question
In the arrangement shown above, an object can be hung from a string (with linear mass density ? = 0.002 00 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 = 2.10 m. When the mass m of the object is either 25.0 kg or 36.0 kg, standing waves are observed; no standing waves are observed with any mass between these values, how ever.
(a) (5 pnts) What is the frequency of the vibrator? (Note: The greater the tension in the string, the smaller the number of nodes in the standing wave.)
(b) (5 pnts) What is the largest object mass for which standing waves could be observed?
Explanation / Answer
f=1/2l *sqrt(F/mu) f=83.37 hz for 25 kg mass,100.05 hz for 36 kg mass
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