Homework Answers
Consider a string of total length L, made up of three segments of equal length.
The mass per unit length of the first segment is u, that of the second is 2u, and that of the third u/4.
The third segment is tied to a wall, and the string is stretched by a force of magnitude Ts applied to the first segment.
Ts is much greater than the total weight of the string.
![0.97 + + ] | | + + 1 [ + - x = - ] 1](http://img.homeworklib.com/questions/9005c370-251f-11ec-90f5-99c770c5ea33.png?x-oss-process=image/resize,w_560)
which is the required time
to take a transverse wave to propagate from one end of the string
to the othe.
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Part A Consider a string of total length L, made up of three segments of equal...
A transverse wave is traveling along a string of total mass M, length L, and tension...
A transverse wave is traveling along a string of total mass M, length L, and tension T. Which of the following is correct? a. The wavelength of the wave is proportional to L. b. The wave velocity depends on M,L,and T. c. The frequency of the wave is proportional to the wavelength. d. The speed of motion of a point on the string is the same as the velocity of propagation of the wave.
By wiggling one end, a sinusoidal wave is made to travel along a stretched string that...
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Two equal masses, m, are joined by a massless string of length L that passes through...
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First mass slides on table while the second hangs below the table
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By wiggling one end, a sinusoidal wave is made to travel along a stretched string that has a mass per unit length of 22.0 g/m. The wave may be described by the wave function y 0.20 sin (0.90x-42) where x and y are in meters and t s in seconds. 1. (a) Determine the speed of the wave. Is the wave moving in the +x direction or the -x direction? b) What is the tension in the stretched string? (c)...
segments over the length L of the string, where the length of each vibrating segment equals one-half wavelength. Use this fact to show that the fr of the allowed standing waves on this string are given by fn-nfi, where n 1,2,3, 4,5,... and fi is the fundamental frequency. In other words, derive an expression relating the nth harmonic to the fundamental frequency. Yo may use the fact that the wave velocity is the same for all modes. 1. For a...
Review Select the correct equation for Newton's second law for the mass before the launch and during takeoff. View Available Hint(s) Just before launching from earth, an astronaut ties a small mass m to the ceiling of his cockpit using a string of length L and mass per unit length . The mass of the string is significantly smaller than the mass of the tied object. He then plucks the string and measures the frequency of its n 1 and...
,50, the standing wave shown in Figure 7-30 is set up on a string, The string has length of s t and At time locity 50 ft/s. What are the frequencies of the first eight allowed normal modes on this string- a)25,50, 75, , . . , 17.5, 20.0 Hz b) 2.5,75, 12.5,... ,32.5, 375 Hz c) 5, 10, 15,,35, 40 Hz d) 5, 15, 25, .,65, 75 Hz e) 10, 20, 30, .,80 Hz lex wave shown at t-0...
Two equal masses, m, are joined by a massless string of length L
that passes through a hole in a frictionless horizontal table.
First mass slides on table while the second hangs below the table
and moves up and down in a vertical line.
a.) Assuming the string remains taut, write down the Lagrangian
for the system in terms of the polar coordinates
of the mass on the table.
b.) Find the two Lagrangian equations of motion and interpret
the...
Figure < 1 of 1 Consider, for instance, a bar of initial length L and cross-sectional area A stressed by a force of magnitude F. As a result, the bar stretches by AL (Figure 1) Let us define two new terms: • Tensile stress is the ratio of the stretching force to the cross-sectional area: stress = 5 • Tensile strain is the ratio of the elongation of the rod to the initial length of the bar strain= 41 It...
Consider a rectangular bar of thermal conductivity k W/m-K and
total length 2L, as shown in the figure, is connected to a hot
surface that is at a temperature T1. The connection between the bar
and the surface is imperfect and results in a thermal contact
resistance of R’’ m2-K/W. The width of the rod into the depth of
the paper is W meters and the thickness of the rod is t meters. The
first section of the rod of...
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