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23 Nov 2019

Consider a string of length 1.0 meter, fixed at both ends,with mass 100 grams and tension 1.0 newtons. Give the number ofnodes and antinodes set up on the string if it is driven at afrequency of 9.5 hertz. Be sure to include the ends of the stringin your count.

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Nelly Stracke
Nelly StrackeLv2
25 Jan 2019

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Related textbook solutions

Physics: Principles with Applications
7th Edition, 2013
Giancoli
ISBN: 9780321625922

Related questions

A standing wave is set up in a string of variable length and tension by a vibrator of variable frequency. Both ends of the string are fixed. When the vibrator has a frequency f, in a string of length L and under tension T, n antinodes are set up in the string.

(a) If the length of the string is doubled, by what factor should be the frequency be changed so that the same number of antinodes is produced?

(b) If the frequency and length are held constant, what tension will produce n+1 antinodes?

(c) If the frequency is tripled and the length of the string is halved, by what factor should the tension be changed so that twice as many antinodes are produced?

1) The equation of a transverse wave on a string is
y = (2.0mm) sin[(20 m-1)x - (600 s-1)t]

The tension in the string is 15 N. (a) What is the wave speed?(b) Find the linear density of this string in grams per meter.

2) What phase difference between two identical traveling waves,moving in the same direction along a streched string, results inthe vombined wave having an amplitude 1.50 times that of the commonamplitude of the two combining waves? Express your answer in (a)degress, (b) radians, and (c) wavelengths.

3) A rope, under a tension of 200 N and fixed at both ends,oscillates in a second-harmonic standing wave pattern. Thedisplacement of the rope is given by

y= (0.10 m (sin π/2) sin 12πt,

where x=0 at one end of the rope, x is in meters, and t is inseconds. What are (a) the lenght of the rope, (b) the speed of therope, and (c) the mass of the rope ? (d) If the rope oscillates ina third-harmonic standing wave pattern, what will be the period ofoscillation?

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