Select ALL the correct definitions of the PERIOD of a standing wave. E.g., if B and...
Select ALL the correct definitions of the PERIOD of a standing
wave.
E.g., if B and D are true and the rest are false, enter BD.
A) The time for an antinode to go from y(t) = +y0 to y(t) = −y0.
B) The time for n complete oscillations divided by n.
C) The time it takes an antinode to go from y(t) = +y0 through y(t) = −y0 back to y(t) = +y0.
D) The time it takes a point on the slinky to go from maximum displacement y(x,t) = y1 through y(x,t) = −y1 back to y(x,t) = y1.
Homework Answers
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Select ALL the correct definitions of the PERIOD of a standing
wave.
E.g., if B and...
Select ALL the correct definitions of the period of a standing wave. E.g., if A and...
Select ALL the correct definitions of the period of a standing wave. E.g., if A and B are true and the rest are false, enter AB. The time for a complete oscillation. Twice the time for an antinode to go from y(t) = +y0 to y(t) = −y0. The time it takes an antinode to go from y(t) = +y0 through y(t) = −y0 back to y(t) = +y0. The time it takes a point on the slinky to go...
4. [2pt] Select ALL the correct definitions of the wavelength of a standing wave. E.g., if...
4. [2pt] Select ALL the correct definitions of the wavelength of a standing wave. E.g., if A and B are true and the rest are false, enter AB. The distance along the standing wave (in the direction of propagation) between repetitions of the wave shape. The distance along the standing wave (in the direction of propagation) from one node to the next node. The distance (in the direction of propagation) between adjacent crests. The distance (in the direction of propagation)...
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...
The following two waves are sent in opposite directions on a horizontal string so as to create a standing wave in a ver...
The following two waves are sent in opposite directions on a horizontal string so as to create a standing wave in a vertical plane y1(x, t) = (6.30 mm) sin(6.50TX . 420 Y2(x, t) (6.30 mm) sin(650TX + 42urt), with x in meters and t in seconds. An anitinode is located at point A. In the time interval that point takes to move from maximum upward displacement to maximum downward displacement, how far does each wave move along the string?...
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...
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...
5. Imagine a string that is fixed at both ends (e.g. a guitar string). When plucked, the string forms a standing wave. The vertical displacement u of the string varies with position r and time t. Sup...
5. Imagine a string that is fixed at both ends (e.g. a guitar string). When plucked, the string forms a standing wave. The vertical displacement u of the string varies with position r and time t. Suppose u(x,t) = 2 sin(nx) sin(mt/2), for 0 x 1 and t 0. Convince yourself of the following: If we freeze the string in time, it will form a sine curve. Alternatively, if we instead focus on a single position, we will see the...
The wave function for a standing wave on a string is described by y(x, t) =...
The wave function for a standing wave on a string is described by y(x, t) = 0.016 sin(4πx) cos (57πt), where y and x are in meters and t is in seconds. Determine the maximum displacement and maximum speed of a point on the string at the following positions. (a) x = 0.10 m ymax = m vmax = m/s (b) x = 0.25 m ymax = m vmax = m/s (c) x = 0.30 m ymax = m vmax = m/s (d) x = 0.50...
can someone please help with b,c,d,e. Please show all work. Problems A standing wave s setup...
can someone please help with b,c,d,e. Please show all
work.
Problems A standing wave s setup c 1 a string at the third harmonic (n-3), as seen in the figure. The length of the s ring is l 0.350 m, the tension in the string is 2.44 N and the mass per unit lengti is 0.100 kg/m. (5 Points) a) What is the wavelength i nd frequency fof the standing wave? (5 points) /b) If the amplitude of the v...
12. A longitudinal standing wave can be created in a long, thin aluminum rod by stroking...
12. A longitudinal standing wave can be created in a long, thin aluminum rod by stroking the rod with very dry fingers. This is often done as a physics demonstration, creating a high-pitched, very annoying whine. From a wave perspective, the standing wave is equivalent to a sound standing wave in an open-open tube. In particular, both ends of the rod are anti-nodes. What is the fundamental frequency of a 2.50 m -long aluminum rod? The speed of sound in...
The following two waves are sent in opposite directions on a horizontal string so as to create a standing wave in a vertical plane y1(x, t) = (6.30 mm) sin(6.50TX . 420 Y2(x, t) (6.30 mm) sin(650TX + 42urt), with x in meters and t in seconds. An anitinode is located at point A. In the time interval that point takes to move from maximum upward displacement to maximum downward displacement, how far does each wave move along the string?...
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...
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...
5. Imagine a string that is fixed at both ends (e.g. a guitar string). When plucked, the string forms a standing wave. The vertical displacement u of the string varies with position r and time t. Suppose u(x,t) = 2 sin(nx) sin(mt/2), for 0 x 1 and t 0. Convince yourself of the following: If we freeze the string in time, it will form a sine curve. Alternatively, if we instead focus on a single position, we will see the...
can someone please help with b,c,d,e. Please show all
work.
Problems A standing wave s setup c 1 a string at the third harmonic (n-3), as seen in the figure. The length of the s ring is l 0.350 m, the tension in the string is 2.44 N and the mass per unit lengti is 0.100 kg/m. (5 Points) a) What is the wavelength i nd frequency fof the standing wave? (5 points) /b) If the amplitude of the v...
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