I have what I believe to be a simple question. I've looked in the book and lecture notes and couldn't find any help, so whatever you've got would be appreciated.(adsbygoogle = window.adsbygoogle || []).push({});

A vibrating string 50.0cm long is under a tension of 1.00 N. The results from five successive stroboscopic pictures are shown in Fig. 15.34. The strobe rate is set at 5000 flashes per minute and observations reveal that the maximum displacement occured at flashes 1 and 5 with no other maxima in between.

a)Find the period, frequency, and wavelength for the traveling waves on this string.

I don't have a scanner, but fig 15.34 shows what looks like 5 simple sin graphs. They look like this order:

1)sin(x)

2).5sin(x)

3)sin(0)

4).5sin(-x)

5)sin(-x)

My guess for period looks like this:

5000/60 = 83.3 flashes/sec

5flashes/83.3 = .06 seconds = period

I'm pretty sure that's wrong, but its all I could come up with. If somebody helps me get the period, I can handle the rest.

b) In what normal mode (harmonic) is the string vibrating?

Since in fig 15.34 they only intersect at one point, it is operating in the second harmonic.

c) What is the speed of the traveling waves on the string

With wavelength and frequency, I can easily find this.

d) How fast is point P moving when the string is in: position 1 and position 3?

P is at the crest of the graph of sin(x). I'm pretty sure I just need to find the transversal velocity here, so that shouldn't be much of a problem. Set up the wave function and take the partial derivitive w.r.t. to time.

e) What is the mass of the string?

I could use a little help on this one.

Thats it. Any and all help will be appreciated.

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# Homework Help: Quick question about waves

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