General Physics, 2nd Edition
General Physics, 2nd Edition
2nd Edition
ISBN: 9780471522782
Author: Morton M. Sternheim
Publisher: WILEY
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Chapter 21, Problem 55E

(a)

To determine

The maximum transverse velocity of a point on the string.

(b)

To determine

The maximum kinetic energy of a small segment of the string of mass.

(c)

To determine

The maximum potential energy.

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A taut rope is tied to a machine that causes it to oscillate sinusoidally. You take a picture of the rope and see that at that moment there are four complete cycles along 10m. If the oscillator frequency is 20HZ, find: a) The wave number b) The angular frequency c) If at time t = Os, the height of the wave is Om when x = 0m, find the phase shift of the oscillation. d) If at time t = Os, the transverse velocity is 250m / s when x = Om, find the amplitude of the oscillation. e) Write the wave function that describes the behavior of this wave.
A string has a point attached to a motor that makes it oscillate with a simple harmonic motion, if the generated mechanical wave propagates to the right with amplitude A=0.10 m. A point on the string takes 1.1 s to complete one oscillation and the wavelength is 50 cm. At the instant when time begins, t=0 s, the point on the string above the origin of coordinates is 0.10 m above the equilibrium point. From the situation described, determine: A. the wave function. B. At time t=0 s, which points on the string have maximum elongation (ymax)? C. the maximum value of the velocity at points on this string. D. If the motor that makes the string oscillate has a fault and now produces a SHM with a frequency that is only a quarter of the initial frequency of the movement, what effect does the period with which the particles of string move have? rope?
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General Physics, 2nd Edition

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