Statement of a problem № 42447


A simple harmonic oscillator at the point x = 0 generates a wave on a rope. The oscillator operates at a frequency of 40.0 Hz and with an amplitude of 3.00 cm. The rope has a linear mass density of 50.0 g/m and is stretched with a tension of 5.00 N. (a) Determine the speed of the wave. (b) Find the wavelength. (c) Write the wave function y (x, t) for the wave. Assume that the oscillator has its maximum upward displacement at time t = O. (d) Find the maximum transverse acceleration of points on the rope. (e) In the discussion of transverse waves in this chapter. The force of gravity was ignored. Is that a reasonable approximation for this wave? Explain.

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