During a lecture demonstration of standing waves, one end

Chapter , Problem 74

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During a lecture demonstration of standing waves, one end of a string is attached to a device that vibrates at 60 Hz and produces transverse waves of that frequency on the string. The other end of the string passes over a pulley, and the tension is varied by attaching weights to that end. The string has approximate nodes next to both the vibrating device and the pulley. (a) If the string has a linear mass density of and is 2.5 m long from the vibrating device to the pulley, what must be the tension for the string to vibrate in its fundamental mode? (b) Find the tension necessary for the string to vibrate in its second, third, and fourth harmonics.