6) Refer to the figure in the image posted, which shows a table top that has a s

Question

6) Refer to the figure in the image posted, which shows a table top that has a string tied to a support at one end, and the other end running over a massless, frictionless pulley. The end of the string hanging over the pulley is attached to a 400 g mass. The total length of the string is 2.0 m, and the total mass of the s8tring is 0.40 g. The distance between the strings support point and the pulley is 1.50 m. With this mass, the speed of the wave in the wire is 140 m/s.
(a) On the figure, draw the standing wave pattern that will be seen when the string is driven at its third harmonic frequency.
(b) The string is vibrated with a frequency f, and a standing wave representing the third harmonic frequency of the string is found. Find the third harmonic frequency, f, in Hertz, that is driving the string.
(c) What will the fundamental vibration frequency of the string be? Give your answer in Herts.
Please help asap thanks!
third third third harmonic frequency

Explanation / Answer

a)the standing wave pattern that will be seen when the string is driven at its third harmonic frequency will have three loops

b)f=3X(1/2l )Xspeed

now l=1.5m

the speed of the wave in the wire is 140 m/s.

substituting and calculating we will get the answer.

c)the fundamental vibration frequency of the string=f=1/2l(speed) Hz

here also the speed of the wave is 140m/sec

substituting and calculating we will get the answer.

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