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5. (8 pints) A String that lies along the +x- axis has a free en incident wave at)-Acos(lox + t) is reflected at th...
Adjacent antinodes of a standing wave of a string are 20.0 cm apart. A particle at...
Adjacent antinodes of a standing wave of a string are 20.0 cm apart. A particle at an antinode oscillates in simple harmonic motion with amplitude 0.600 cm and period 0.100 s. The string lies along the +x-axis and its left end is fixed at x = 0. The string is 70.0 cm long. At time t = 0, the first antinode is at maximum positive displacement. a. Is the right end of the string fixed or free? Explain. b. Sketch...
Adjacent antinodes of a standing wave on a string are 15.0 cm apart. A particle at...
Adjacent antinodes of a standing wave on a string are 15.0 cm apart. A particle at an antinode oscillates in simple harmonic motion with amplitude 0.850 cm and period 0.0750 s. The string lies along the +x-axis and is fixed at x = 0. (a) How far apart are the adjacent nodes? (b) What are the wavelength, amplitude, and speed of the two traveling waves that form this pattern? (c) Find the maximum and minimum transverse speeds of a point...
For a particular transverse wave that travels along a string that lies on the x-axis, the...
For a particular transverse wave that travels along a string that lies on the x-axis, the equation of motion is: y = (0.0600 m) cos (45.0 rad/s)t − (0.400 m−1)x .Calculate the displacement (in other words, the y-value) of a point at x = 1.00 m when t = 2.00 s. .
a string under tension supoorts standing waves. at some time t a snapshot of a standing...
a string under tension supoorts standing waves. at some time t a snapshot of a standing wave on the string is recorded, and described by the function y(x) where y is the vertical displacement of the string and x is the postion along the string. which form of y(x) is consistent with a string of length L whose left end at x=0 is fixed but whose right end at x=L is free? the symbol A is a positive constant representing...
Problem A long string is fixed at one end and a standing wave is generated with...
Problem A long string is fixed at one end and a standing wave is generated with a mechanical oscillator attached at one end. The opposite end of the string can be considered as a node, and treat it as the x = 0 point. The distance between adjacent nodes on the string is 20.0 cm, and an antinode oscillates with a period of 0.659 s and an amplitude of 0.550 cm. (a) Find the displacement of a point on the...
6. (20 pts.) A wave traveling along a string stretched along an x-axis has the form...
6. (20 pts.) A wave traveling along a string stretched along an x-axis has the form y(x, t) = (10 mm) sin(107x – 5nt). (a) What direction is the wave traveling (to the left or right)? (d) What is the wave's frequency, wavelength and speed? (e) What is the minimum, finite length the string must have in order to have standing waves, in it, with this waveform bouncing back and forth along x? (f) If the string has that length,...
For a certain transverse standing wave on a long string, an antinode is at x -0...
For a certain transverse standing wave on a long string, an antinode is at x -0 and an adjacent node is atx0.30 m. The displacement y(t) of the string particle at x0 is shown in the figure, where the scale of the y axis is set by ys = 4.4 cm, when t = 0.50 s, what is the displacement of the string particle at (a) x = 0.50 m and (b) x = 0.40 m ? what is the...
Wave function You are observing a wave traveling along the x-axis. The first picture (y vs....
Wave function
You are observing a wave traveling along the x-axis. The first picture (y vs. x) shows a snapshot of the wave at t=0. The second picture dy vs. t) shows how the wave height varies in time from the perspective of an observer standing at fixed location x-0. From this information, determine if the wave is traveling to the left or right. Give a one-sentence explanation justifying your answer 2) 3) The wave function for a harmonic (i.e.,...
A sinusoidal transverse wave is traveling along a string in the negative direction of an x...
A sinusoidal transverse wave is traveling along a string in the
negative direction of an x axis. The figure below shows a
plot of the displacement as a function of position at time
t = 0. The x axis is marked in increments of 10
cm and the y axis is marked in increments of 2 cm. The
string tension is 3.1 N, and its linear density is 34 g/m.
(a) Find the amplitude.
m
(b) Find the wavelength.
m...
A sinusoidal transverse wave is travelling along a string in the negative direction of an x...
A sinusoidal transverse wave is travelling along a string in the negative direction of an x axis. The figure shows a plot of the displacement as a function of position at time t = 0; the y intercept is 4.0 cm. The string tension is 3.3 N, and its linear density is 44 g/m. Find the (a) amplitude, (b) wavelength, (c) wave speed, and (d) period of the wave, (e) Find the maximum transverse speed of a particle in the...
Adjacent antinodes of a standing wave on a string are 15.0 cm apart. A particle at an antinode oscillates in simple harmonic motion with amplitude 0.850 cm and period 0.0750 s. The string lies along the +x-axis and is fixed at x = 0. (a) How far apart are the adjacent nodes? (b) What are the wavelength, amplitude, and speed of the two traveling waves that form this pattern? (c) Find the maximum and minimum transverse speeds of a point...
Problem A long string is fixed at one end and a standing wave is generated with a mechanical oscillator attached at one end. The opposite end of the string can be considered as a node, and treat it as the x = 0 point. The distance between adjacent nodes on the string is 20.0 cm, and an antinode oscillates with a period of 0.659 s and an amplitude of 0.550 cm. (a) Find the displacement of a point on the...
6. (20 pts.) A wave traveling along a string stretched along an x-axis has the form y(x, t) = (10 mm) sin(107x – 5nt). (a) What direction is the wave traveling (to the left or right)? (d) What is the wave's frequency, wavelength and speed? (e) What is the minimum, finite length the string must have in order to have standing waves, in it, with this waveform bouncing back and forth along x? (f) If the string has that length,...
For a certain transverse standing wave on a long string, an antinode is at x -0 and an adjacent node is atx0.30 m. The displacement y(t) of the string particle at x0 is shown in the figure, where the scale of the y axis is set by ys = 4.4 cm, when t = 0.50 s, what is the displacement of the string particle at (a) x = 0.50 m and (b) x = 0.40 m ? what is the...
Wave function
You are observing a wave traveling along the x-axis. The first picture (y vs. x) shows a snapshot of the wave at t=0. The second picture dy vs. t) shows how the wave height varies in time from the perspective of an observer standing at fixed location x-0. From this information, determine if the wave is traveling to the left or right. Give a one-sentence explanation justifying your answer 2) 3) The wave function for a harmonic (i.e.,...
A sinusoidal transverse wave is traveling along a string in the
negative direction of an x axis. The figure below shows a
plot of the displacement as a function of position at time
t = 0. The x axis is marked in increments of 10
cm and the y axis is marked in increments of 2 cm. The
string tension is 3.1 N, and its linear density is 34 g/m.
(a) Find the amplitude.
m
(b) Find the wavelength.
m...
A sinusoidal transverse wave is travelling along a string in the negative direction of an x axis. The figure shows a plot of the displacement as a function of position at time t = 0; the y intercept is 4.0 cm. The string tension is 3.3 N, and its linear density is 44 g/m. Find the (a) amplitude, (b) wavelength, (c) wave speed, and (d) period of the wave, (e) Find the maximum transverse speed of a particle in the...
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