Question

1)Suppose you have a string with linear mass density u=4.5 g/m, with two fixed ends 1.0 m apart. What is the velocity of a wave on the string if the tension of the string is supplied by a hanging mass of 250 g? 2) For the previous question, what are the three lwoest frequencies that you could observe in a standing wave?

Answer #1

Two stretched strings on a musical instrument each are
fixed at both of their ends. String 1 is 0.600 m long, has a linear
mass density of 2.00 ´ 10–3 kg/m, and is under a tension
of 1.00 ´ 102 N. String 2 is 1.20 m long, has a linear
mass density of 1.00 ´ 10–3 kg/m, and is under a tension
of 2.00 ´ 102 N.
(a) Find the speed of wave propagation on
string 1 and on string...

Standing waves on a 1.5-meter long string that is fixed at both
ends are seen at successive (that is, modes m and m + 1)
frequencies of 38 Hz and 42 Hz respectively. The tension in the
string is 720 N.
What is the fundamental frequency of the standing wave? Hint:
recall that every harmonic frequency of a standing wave is a
multiple of the fundamental frequency.
What is the speed of the wave in the string?
What is the...

A nylon guitar string has a linear density of 9.3 g/m and is
under a tension of 151 N. The fixed supports are distance D = 98 cm
apart. The string is oscillating in the standing wave pattern shown
in the following figure. Calculate the frequency of the traveling
waves for this standing wave.

A thin taut string of mass 5.00 g is fixed at both ends and
stretched such that it has two adjacent harmonics of 525 Hz and 630
Hz. The speed of a traveling wave on the string is 168 m/s.
(a) Determine which harmonic corresponds to the 630 Hz
frequency.
(b) Find the linear mass density of this string.
(c) Find the tension in the string.

A guitar string with a linear density of 2.0 g/m is
stretched between supports that are 60 cm apart. The string is
observed to form a standing wave with three antinodes when driven
at a frequency of 420 Hz. What are (a) the frequency of the fifth
harmonic of this string and (b) the tension in the string?

A standing wave is set up in a L=2.00m long string fixed at both
ends. The string vibrates in its 5th harmonic when driven by a
frequency f=120Hz source. The mass of the string is m=3.5grams.
Recall that 1kg = 1000grams.
A. Find the linear mass density of the string
B. What is the wavelength of the standing wave
C. What is the wave speed
D. What is the tension in the string
E. what is the first harmonic frequency...

A thin taut string of mass 5.00 g is fixed at both ends and
stretched such that it has two adjacent harmonics of 525 Hz and 630
Hz. The speed of a traveling wave on the string is 168 m/s.
PART A: Determine which harmonic corresponds to the 630 Hz
frequency.
PART B: Find the linear mass density of this string. Express
your answer with the appropriate SI units.
PART C: Find the tension in the string. Express your answer...

A string that is under 50N of tension has a linear density of
5.0 g/m. A sinusoidal wave with amplitude 3.0cm and wavelength 2.0
m travels along the wave. What is the maximum velocity of a
particle on the string?

A standing wave pattern is created on a string with mass density
μ = 3 × 10-4 kg/m. A wave generator with frequency f = 63 Hz is
attached to one end of the string and the other end goes over a
pulley and is connected to a mass (ignore the weight of the string
between the pulley and mass). The distance between the generator
and pulley is L = 0.68 m. Initially the 3rd harmonic wave pattern
is formed....

A standing wave pattern is created on a string with mass density
μ = 3 × 10-4 kg/m. A wave generator with frequency f =
63 Hz is attached to one end of the string and the other end goes
over a pulley and is connected to a mass (ignore the weight of the
string between the pulley and mass). The distance between the
generator and pulley is L = 0.68 m. Initially the 3rd harmonic wave
pattern is formed....

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