In: Physics

A string of total mass 3.00×10^{-2}kg is stretched to a
length of 4.9m by applying a tension of 14.20N. You flick the end
of the string, sending a pulse to the far end. It reflects back to
your hand.

**PLEASE SHOW WORK, I REALLY WANT TO KNOW HOW TO DO
THIS!**

A) How fast is the pulse moving?

B) How much time does it take for the pulse to make the round trip (from your hand to the other end and back again)?

Given that :

total mass of the string, m = 3 x 10^{-2} kg

length of the string, L = 4.9 m

Tension in the string, T = 14.2 N

You flick the end of the string, sending a pulse to the far end. It reflects back to your hand.

(A) The pulse moving at a speed which is given as :

using an equation, v =
_{}F /
_{}

where, _{} = linear mass
density = m / L

_{} = (3 x
10^{-2} kg) / (4.9 m)

_{} = 6.12 x
10^{-3} kg/m

Now, inserting the values in above eq.

v = _{}(14.2
N) / (6.12 x 10^{-3} kg/m)

v = _{}2.32 x
10^{3} m^{2}/s^{2}

**v = 48.1 m/s**

(B) Time taken for the pulse to make the round trip (from your hand to the other end and back again) which is given as :

Distance, x = v t

(4.9 m) = (48.1 m/s) t

**t = 0.101 sec**

A steel string of length 2.0 meters and mass 15g/m is stretched
with a tension of 120 N and is fixed at both ends.
(i) Write down the wave equation and find the
general solution for string oscillations using the method of
variable separation.
(ii) Find the 1st three natural
frequencies and draw the corresponding mode shapes.

A stretched string fixed at each end has a mass of 43.0 g and a
length of 7.20 m. The tension in the string is 47.0 N. (a)
Determine the positions of the nodes and antinodes for the third
harmonic. (Answer from smallest to largest distance from one end of
the string.)
nodes
______m
______m
______m
______m
antinodes
______m
______m
______m
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Suppose a 1 kg mass is attached to the end of a string that is
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cos 50t acts on the mass. Find the position function x(t) if the
initial conditions are given by x(0) = 0, x′(0) = 50.

A piano wire with mass 2.60g and length 84.0 cm is stretched with a tension of 25.0 N. A wave with frequency 120.0 Hz and amplitude 1.6 mm travels along the wire. Calculate the average power carried by the wave. What is the average power if the wave amplitude is halved?

1. 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.

An
unstretched spring is 30 cm long. When the spring is stretched to a
total length of 60cm, it supports transverse waves moving at 4.5
m/s. How fast will waves travel in this spring if it is stretched
to 90cm?

An
unstretched spring is 30 cm long. When the spring is stretched to a
total length of 60cm, it supports transverse waves moving at 4.5
m/s. How fast will waves travel in this spring if it is stretched
to 90cm?

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1. What is the frequency of the standing wave?
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2. For what minimum value of L does the sound wave produced by
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The tension in the string is less at the top of the circle than
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of the beam. E=300000000psi

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