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The string's mass per unit length is 4.4 10-4 kg/m. The string passes over a pulley, a distance L = 1.

One end of a horizontal string is attached to a small-amplitude mechanical 60 Hz vibrator. The string's mass per unit length is 4.4 10-4 kg/m. The string passes over a pulley, a distance L = 1.50 m away, and weights are hung from this end, see the figure below. Assume the string at the vibrator is a node, which is nearly true.


What mass m must be hung from this end of the string to produce a standing wave with the following number of loops?

(a) one loop


(b) two loops


(c) five loops 


I can't seem to get a and c right for b (two loops) I got 0.3636 which is correct but I don't know why I am getting the other two wrong.


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