Question

A rod 2 m long, 2 cm in diameter and 5 kg in mass is fixed at one end and is stricken by a force F to produce a 3rd overtone and elongates at 1 cm. A string of length L and mass 750 grams is puled by a T = 30 to produce a 3rd harmonic frequency. Determine the force F and length L that produces the same value of frequencies in the two materials, if the sound wave produced by the rod was heard 0.25 seconds later by a listener 3 meters away. What are the frequencies produced and speeds of propagation of waves?

Answer #1

A Piano that has a string of L = 2(m) long and a mass of m =
0.2(g) over that length. The Piano is tightened and its tension is
T = 20(N). Determine the speed of propagation for a wave along that
string? Let the fundamental mode has a wavelength of λ = L 2
Determine the frequency of sound associated with that string?

1. A cord of mass 0.65 kg is stretched between two supports 8.0
m apart. If the tension in the cord is 140 N, how long will it take
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3. The intensity of an earthquake wave passing through the earth...

A rotating cylindrical rod of mass m=4 Kg and length l=1 meter
is connected to a falling weight of 300 grams with a 2 meters
string (Maximum distance covered by the falling weight). The
distance from the wound string to the axis of rotation is 300 mm.
The time taken by the falling weight to halfway is 2 seconds and to
the bottom is 2.7 seconds.
Change of angular momentum in the spinning rod
Mass (Kg)
Moment of Inertial of...

a) A=7, B=2
a) Consider a pipe with a length of (A+32.5) cm. If the
temperature of the air is (12.5+B) oC and the pipe is
closed in one end and open in the other, what is the frequency of
the third harmonic for the pipe? Post your answer in
hertz (Hz) and with 3 significant figures.
b) A=2, B=7
b) Consider a string with a length of (47.5 +A) cm tied at both
end (like on a stringed instrument)....

A bob of mass m = 0.300 kg is suspended from a fixed
point with a massless string of length L = 21.0 cm . You
will investigate the motion in which the string traces a conical
surface with half-angle θ = 22.0
What tangential speed v must the bob have so that it
moves in a horizontal circle with the string making an angle 22.0 ∘
with the vertical?
Express your answer numerically in meters per second.

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
frequency. Also determine the other of the first four harmonic
frequencies and draw diagrams illustrating what each of these
oscillations looks like on the string.
b) This string will produce sound waves in the air, determine
the wavelength of the sound waves.
c) Suppose you had two...

Two violin strings each have a length of 0.32 m and are each
under a tension of 51 N. The lighter string has a mass density of
6.43x10-4 kg/m, whereas the heavier string has a mass
density of 2.48x10-3 kg/m. (Note, for stringed
instruments, both ends of the string are fixed.)
(a) What are the fundamental frequencies of the (i) lighter and
(ii) heavier violin strings?
(b) These strings are plucked simultaneously in such a way that the
fundamental of...

A rotating cylindrical rod of mass m=4 Kg and length l=1 meter
is connected to a falling weight of 300 grams with a 2 meters
string (Maximum distance covered by the falling weight). The
distance from the wound string to the axis of rotation is 300 mm.
The time taken by the falling weight to halfway is 2 seconds and to
the bottom is 2.7 seconds.
If we replace the 300-gram falling weight with the 2 Kg weight,
it takes...

A rotating cylindrical rod of mass m=4 Kg and length l=1 meter
is connected to a falling weight of 300 grams with a 2 meters
string (Maximum distance covered by the falling weight). The
distance from the wound string to the axis of rotation is 300 mm.
The time taken by the falling weight to halfway is 2 seconds and to
the bottom is 3.7 seconds.
!!!! If we replace the 300-gram falling weight with the 2 Kg
weight, it...

Please show all your work.
A source of sound is located in a room a distance “L” from a
wall. The room temperature is 72°F. AN observer is located between
the source and the wall at 103 cm from the wall. The observer can
hear a loud sound at the 3rd harmonic and the sound
fades at the 4th harmonic.
What is the velocity of sound in the room?
What is the frequency at which the observer can hear the...

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