Is it possible to have a longitudinal wave on a stretched string? Why or why not? Is it possible to have a transverse wave on a steel rod? Again, why or why not? If your answer is yes in either case, explain how you would create such a wave.
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Is it possible to have a longitudinal wave on a stretched string?
Why or why not? Is it possible to have a transverse wave on a steel rod?
Again, why or why not? If your answer is yes in either case, explain
how you would create such a wave.
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- A string of mass 6 grams is stretched to a length of 1.7 meters and fastened at both end so that it can freely vibrate. The tension on the string is 1900 Newtons.What is the wavelength of the first harmonic (also called the fundamental frequency) of standing wave created by the vibrating string? m What is the wavelength of the third harmonic of standing wave created by the vibrating string? mTension is maintained in a string as in the figure below. The observed wave speed is v = 258 m/s when the suspended mass is m = 3.0 kg. (a) What is the mass per unit length of the string? kg/m(b) What is the wave speed when the suspended mass is m = 1.64 kg?Π Two sinusoidal waves have the same wavelength and travel on the same string. If the amplitude of the first wave is 5.30mm, the amplitude of the second wave is 2.9 mm, and the phase constant for the second wave is rad greater than the first, what is the amplitude of the resultant wave? 6
- The frequency and wavelength of a transverse wave on a string are 340 Hz and 0.70 m, respectively. The tension in the string is 310 N. What is the linear density of the string? Linear density = iThe speed of a wave on a string with a fixed end and a free end is 345 m/s. The frequency of the wave is 230 Hz. What length of string is necessary to produce a standing wave with the second harmonic? 1.13m 0.500m 0.375m 1.50m7) A string is tied at both ends. The linear density of the string is 9.2 gr/m. The length of the string is 120 cm. The speed of the wave is 42 m/sec. A standing wave is produced with an amplitude of 4 cm. The pattern produced is a 5th harmonic. a) What is the tension on the string? b) What is the amplitude of the traveling wave? c) What is the angular frequency of the wave? d) What is the wavelength of the wave pattern? e) What is the frequency of the wave pattern? f) At what distances are the nodes located? g) At what distances are the antinodes located? h) What is the constant of propagation? i) Write a function to describe the wave pattern
- As shown is a snapshot graph of a wave at t = 2 s. What is the maximum speed reached by a particle on the string?The equation for the displacement of a stationary wave on a string is given by y = 2 (sin 5πt)(cos 6πx), where x and y are in meters, and t is in seconds. Determine: a. wave period! b. the amplitude of the point P which lies at a distance of 75 cm from the end of the reflection! c. the distance between two consecutive stomachs!Problem #9: A transverse wave on a string is modeled with the wave function y (x, t) = (0.20 cm)sin (2.00 m e- 3.00 s lt +) a) What are the wavelength and frequency of this wave? b) What is the speed of the wave? c) What is the height of the string with respect to the equilibrium position at a position x=3.00m and a time t=5.00s?
- you have a string with a mass of 0.0121 kg. you stretch the string with a force of 9.57 N, giving it a length of 1.95 m. then, you vibrate the string transversely at precisely the frequency that corresponds to its fourth normal mode; that is, at its fourth harmonic. what is the wavelength of the standing wave created in the string? what is the frequency?The Function of a travelling wave on a string with a linear mass density of u = 3.0 kg/m is given by the following wave function: y(x,t) a) What is the wave speed? 0.25 sin(57TX + 16n), Here x and y are in meters and time is in seconds. b) In which direction is the wave travelling? c) How much tension is in the string? d) Find the particle velocity at position x= 1.5 m and at time t = 14 seconds e) Draw a snapshot of the wave for one whole wavelength at t = 14 seconds.What is the speed of a transverse wave on the rope if the mass were increased to 3.00 kg? What is the wavelength of a transverse wave on the rope if the mass were increased to 3.00 kg?