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The Time Plot of a Harmonic Wave A sinusoidal wave is travelling with a speed of 2.0 m/s along the positive x-axis on a string. The time plot of the displacement of the section of the string located at x = 2.0 m is shown in Figure 14-38. Using the given data and the plot, determine the wavelength and angular frequency of the wave determine the phase constant of the wave write an equation for the wave function, D(x,t), for the wave D(2.0,0.0)=-0.025 m
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Electrical Engineering
Superposition of Two Harmonic Waves Two harmonic waves with different frequencies, moving in opposite directions, are present in a string at the same time. The wave functions of these waves are given by D_1 (x,t)=(0.10 m)sin(2.0x-10.0t) D_2 (x,t)=(0.15 m)sin(4.0x-20.0t) Find the displacement of a segment of the string located atx=1.5 m at t=2.0 s. Plot the displacement of the string betweenx=0.0 and x=5.0 m at t=1.0 s.
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Electrical Engineering
Standing Wave The amplitude of a standing wave is given by A(x)=(25.0 cm) sin〖(2.00x)〗 where x is in metres. Determine the amplitude and the wavelength of the constituent travelling waves the location of the first three nodes and the first three antinodes along the positive x-axis the location of the first point from the origin where the amplitude is 0.20 m
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Electrical Engineering
String Vibrations A violin string is 0.320 m long and has a linear mass density of 3.83×〖10〗^(-4) kg/m. The tension in the string is kept at 70.0 N. What is the wave speed in the string? If the string is plucked and allowed to vibrate, approximately how many times would a wave reflect from one end of the string in 1 s? What are the wavelengths and frequencies of the first three normal modes of vibration of the string? What is the spacing between two consecutive nodes for each mode? Sketch the vibration pattern of these modes By what amount should the tension be changed to decrease the fundamental frequency by 7 Hz?
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Electrical Engineering
An Acoustic Guitar Consider an acoustic guitar with strings made of steel of density 7750 kg/m3. The six strings, named E, A, D, G, B, and e (called high E), have diameters of 0.0120, 0.0160, 0.0250, 0.0320, 0.0420, and 0.0540 inches, respectively. If the tension in each string is kept at 72.0 N, determine the resonant frequency of each string while it vibrates in the first harmonic between the nut and the bridge. The length of the string is 25.5 inches.
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Electrical Engineering
Pushing a crate You push a crate of mass 22.5 kg on a horizontal frictionless surface over a distance of 8.20 m using a constant horizontal force of 105 N starting from rest. Find the work done as you push the crate.
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Electrical Engineering
Work done against gravity You lift your 2.20 kg laptop a vertical distance of 70.0 cm at a constant speed above the table on which it rests. How much work is done by you on the laptop?
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Electrical Engineering
Pulling a Box Figure 6-7 shows a box of mass 90.0 kg being pulled with a rope on a rough horizontal floor. The magnitude of the applied force is 615 N and the rope makes a 21° angle with the horizontal. The box moves at a constant speed. (a) Find the coefficient of kinetic friction between the box and the floor. (b) How much work is done on the box by the person in moving the box over a horizontal distance of 11 m? (c) Find the work done by the force of friction over the same distance. (d) What is the total work done on the box?
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Electrical Engineering
