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1.A transverse wave of amplitude 0.50 mm and frequency 100 Hz is produced on a wire stretched to a tension of 100 N. If the wave speed is 100 m s-1, what average power is the source transmitting to the wire?
2.Transverse waves with a speed of 49.5 m/s are to be produced on a stretched string. A5.60-m length of string with a total mass of0.0600 kg is used.
(a) What is the required tension in the string?
(b) Calculate the wave speed in the string if the tension is 8.00 N.
3.A transverse sine wave with an amplitude of 2.50 mm and a wavelength of 1.80 m travels from left to right along a long, horizontal, stretched string with a speed of 36.0 m/s. Take the origin at the left end of the undisturbed string. At time t = 0 the left end of the string has its maximum upward displacement
(a) What are the frequency, angular frequency, and wave number of the wave?
(b) What is the function y (x, t} that describes the wave?
(c) What is yet} for a particle at the left end of the string?
(d) What is yet} for a particle 1.35 m to the right of the origin?
(e) What is the maximum magnitude of transverse velocity of any particle of the string? (f) Find the transverse displacement and the transverse velocity of a particle 1.35 m to the right of the origin at time t = 0.0625 s.
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4.A transverse wave described by Y = (0.02 m) sin [(1.0 m-1) x + (30 s-1)t] Propagates on a stretched string having a linear mass density of 1.2 × 10-4 kg m-1. Find the tension in the string.
5.A transverse traveling wave on a taut wire has an amplitude of 0.200 mm and a frequency of 500 Hz. It travels with a speed of 196 m/s.
(a) Write an equation in SI units of the form y = A sin(kx – ωt) for this wave.
(b) The mass per unit length of this wire is 4.10 g/m. Find the tension in the wire.
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