Question

In the arrangement shown below, an object can be hung from a string (with linear mass density μ = 0.00200 kg/m) that passes over a light pulley. The string is connected to a vibrator (of constant frequency f), and the length of the string between point P and the pulley is L = 2.10 m. When the mass m of the object is either 25.0 kg or 36.0 kg, standing waves are observed; no standing waves are observed with any mass between these values, however. The left end of a horizontal string of density μ is connected to a vibrator at point P. A distance L from point P, the string goes over a pulley and hangs down. A block of mass m connects to the hanging end of the string. The vibrator causes the portion of string between point P and the pulley to oscillate such that standing waves are generated. (

a) What is the frequency of the vibrator (in Hz)? (Note: The greater the tension in the string, the smaller the number of nodes in the standing wave.) Hz

(b) What is the largest object mass (in kg) for which standing waves could be observed? kg

(c) What If? What would the linear mass density of the string have to be (in kg/m) if 36.0 kg is the largest mass for which standing waves are observed? kg/m

(d) For what values of m (in kg) would standing waves with the next four higher numbers of nodes be observed in this case?

m2 = kg

m3 = kg

m4 = kg

m5 = kg

Answer #1

In the arrangement shown below, an object can be hung from a
string (with linear mass density
μ = 0.00200 kg/m)
that passes over a light pulley. The string is connected to a
vibrator (of constant frequency f), and the length of the string
between point P and the pulley is
L = 2.30 m.
When the mass m of the object is either 25.0 kg or 36.0 kg,
standing waves are observed; no standing waves are observed with
any...

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....

A guitar string with a linear density of 2.0 g/m is
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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
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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)
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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 stretched string fixed at each end has a mass of 36.0 g and a
length of 7.60 m. The tension in the string is 48.0 N.
(a) Determine the positions of the nodes and antinodes for the
third harmonic. (Enter your answers from smallest to largest
distance from one end of the string.)
nodes:
_____ m
_____m
_____m
_____m
antinodes:
_____m
_____m
_____m
(b) What is the vibration frequency for this harmonic?
________ Hz
A train at a speed...

A guitar string has a linear mass density of 0.004 kg/m, a
tension of 100 N, and is supposed to have a fundamental frequency
of 110 Hz. When a tuning fork of that frequency is sounded while
the string is plucked, a beat frequency of 4 Hz is heard. The peg
holding the string is loosened, decreasing the tension, and the
beat frequency increases. Before it was loosened and while it still
had a tension of 100 N, The frequency...

A guitar string has a linear mass density of 0.005 kg/m, a
tension of 100 N, and is supposed to have a fundamental frequency
of 110 Hz. When a tuning fork of that frequency is sounded while
the string is plucked, a beat frequency of 2 Hz is heard. The peg
holding the string is tightened, increasing the tension, and the
beat frequency increases.
Before it was tightened and while it still had
a tension of 100 N, The frequency...

The figure below shows an object of mass m=3.7 kg which is
connected to a string of length r=0.96 m. When the object is at the
bottom of the circle it has velocity vb =11.6 m/s. What is the
tension in the string at the top of the circle?

a) A 1 meter long guitar string of linear mass density 2g/m3 is
put under tension until it resonates with a fundamental frequency
of 440 Hz. Determine the tension that produces this fundamental
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b) This string will produce sound waves in the air, determine
the wavelength of the sound waves.
c) Suppose you had two...

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