a) A string of linear density u1 is tied to a second string of linear density...
a) A string of linear density u1 is tied to a second string of linear density u2. A harmonic wave of speed v1, traveling along the first string reaches the junction and enters the second string. What will be the speed v2 of thi wave in the second string? Give our answer in terms of u1, u2, and v1. What is the tension on the string?
b) Suppose L1 si the length of the string of linear density u1 and L2 is the length of string of linear density u2. u2/u1=2 and L1/L2=1.41. What is the lowest frequency, fL, of the harmonic wave that can form a standing wave in the string with a node at the junction? Express fL in terms of v1 and L1.
Homework Answers
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a) A string of linear density u1 is tied to a second string of
linear density...
Two string tied together have different linear mass densities and hence different velocities. Reflection and transission...
Two string tied together have different linear mass densities
and hence different velocities. Reflection and transission
coefficient in terms of amplitude:
a) supposed string 1 is a thick string and string 2 is thin. in
which string is the speed larger?
b) What are R and T in the limit of v1 << v2?
c) What are R and T in the limit of v1 >> v2?
d) the power carried by a wave in a strong was found to...
Name: - Harmonics Worksheet Wave on a String One end of a string with a linear...
Name: - Harmonics Worksheet Wave on a String One end of a string with a linear mass density of 1.45 . 10-2 kg/m is tied to a mechanical vibrator that can oscillate up and down. The other end hangs over a pulley 80 cm away. The mass hanging from the free end is 3 kg. The left end is oscillated up and down, which will create a standing wave pattern at certain frequencies. Draw the first five standing wave patterns...
In the figure, a string, tied to a sinusoidal oscillator at P and running over a...
In the figure, a string, tied to a sinusoidal oscillator at P and running over a support at Q. Is stretched by a block of mass m. Separation L 1.0 m, linear density 1.4 g/m, and the oscillator frequency f 110 Hz. The amplitude of the motion at P is small enough for that point to be considered a node. A node also exists at Q. = (a) What mass m allows the oscillator to set up the fourth harmonic...
A string has a linear density of 6.00 × 10-3 kg/m and is under a tension...
A string has a linear density of 6.00 × 10-3 kg/m and is under a tension of 290 N. The string is 2.3 m long, is fixed at both ends, and is vibrating in the standing wave pattern (3rd harmonic). Determine the frequency of the traveling waves that make up the standing wave.
a. In the figure below, a string is tied to a sinusoidal oscillator at P and...
a. In the figure below, a string is tied to a sinusoidal oscillator at P and runs over a rigid support at Q, and is stretched by a block of mass m. The separation L - 1.77 m, the linear mu = 16 g/m, and the oscillator frequency f = 125 Hz. The amplitude of the motion at P is small enough for that point to be considered a node. A node also exists at Q. If m = 2.000...
A nylon guitar string has a linear density of 33.9 g/m and is under a tension...
A nylon guitar string has a linear density of 33.9 g/m and is under a tension of 296.0 N. The fixed supports are distance L 88.5 cm apart. The string is oscillating in the standing wave pattern shown in the figure. Calculate the speed of the traveling waves whose superposition gives this standing wave. Submit Answer Tries o/99 Calculate the wavelength of the traveling waves whose superposition gives this standing wave Submit Answer Tries 0/99 Calculate the frequency of the...
A nylon guitar string has a linear density of 4.46 g/m and is under a tension...
A nylon guitar string has a linear density of 4.46 g/m and is under a tension of 126 N. The fixed supports are D = 72.7 cm apart. The string is oscillating in the standing wave pattern shown in the figure. Calculate the (a) speed, (b) wavelength, and (c) frequency of the traveling waves whose superposition gives this standing wave.
Wave on a String A string with linear mass density 2.0 g/m is stretched along the...
Wave on a String A string with linear mass density 2.0 g/m is stretched along the positive x-axis under a tension of 20 N. The other end of the string, at x = 0m is tied to a hook that oscillates up and down at a frequency of 100Hz with a maximum displacement from equilibrium of 1.0 mm. At t= 0s, the hook is at it's lowest point. (a) What are the wave speed and the wavelength on the string?...
Wave on a String A string with linear mass density 2.0 g/m is stretched along the...
Wave on a String A string with linear mass density 2.0 g/m is stretched along the positive x-axis under a tension of 20 N. The other end of the string, at x = 0m is tied to a hook that oscillates up and down at a frequency of 100Hz with a maximum displacement from equilibrium of 1.0 mm. At t= 0s, the hook is at it's lowest point. (a) What are the wave speed and the wavelength on the string?...
A string of length 2.83 m and linear mass density 0.500 g/m, and a string of...
A string of length 2.83 m and linear mass density 0.500 g/m, and a string of length 3.09 m and linear mass density 0.242 g/m, are tied together and stretched to a tension of 150 N. How long, in seconds, will it take a transverse wave to travel the entire length of the two wires?
Two string tied together have different linear mass densities
and hence different velocities. Reflection and transission
coefficient in terms of amplitude:
a) supposed string 1 is a thick string and string 2 is thin. in
which string is the speed larger?
b) What are R and T in the limit of v1 << v2?
c) What are R and T in the limit of v1 >> v2?
d) the power carried by a wave in a strong was found to...
Name: - Harmonics Worksheet Wave on a String One end of a string with a linear mass density of 1.45 . 10-2 kg/m is tied to a mechanical vibrator that can oscillate up and down. The other end hangs over a pulley 80 cm away. The mass hanging from the free end is 3 kg. The left end is oscillated up and down, which will create a standing wave pattern at certain frequencies. Draw the first five standing wave patterns...
In the figure, a string, tied to a sinusoidal oscillator at P and running over a support at Q. Is stretched by a block of mass m. Separation L 1.0 m, linear density 1.4 g/m, and the oscillator frequency f 110 Hz. The amplitude of the motion at P is small enough for that point to be considered a node. A node also exists at Q. = (a) What mass m allows the oscillator to set up the fourth harmonic...
a. In the figure below, a string is tied to a sinusoidal oscillator at P and runs over a rigid support at Q, and is stretched by a block of mass m. The separation L - 1.77 m, the linear mu = 16 g/m, and the oscillator frequency f = 125 Hz. The amplitude of the motion at P is small enough for that point to be considered a node. A node also exists at Q. If m = 2.000...
A nylon guitar string has a linear density of 33.9 g/m and is under a tension of 296.0 N. The fixed supports are distance L 88.5 cm apart. The string is oscillating in the standing wave pattern shown in the figure. Calculate the speed of the traveling waves whose superposition gives this standing wave. Submit Answer Tries o/99 Calculate the wavelength of the traveling waves whose superposition gives this standing wave Submit Answer Tries 0/99 Calculate the frequency of the...
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