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
(b) What is the vibration frequency for this harmonic? Hz

Suppose a 1 kg mass is attached to the end of a string that is
stretched 0.2 m by a force of 500 N (newtons). An exterior force F0
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.

A ball of mass m is attached to a string of length L. It is
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taut throughout the motion. Assume the ball travels freely in the
circle with negligible loss of mechanical energy. Determine if the
following six statements are true or false; e.g., enter TTFFFF.
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at the bottom of the circle.
The acceleration...

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speed of sound is 343m/s.
2. For what minimum value of L does the sound wave produced by
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On
a double supported beam with total length of 48” applying 40 lb
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A guitar string has a mass of 3.23 g, a length of 3.18 cm, and
is under a tension of 980 N. What is the wave speed, fundamental
frequency, and the frequencies of the next two harmonics on the
string?

A pendulum consists of a ball of mass 3.0 kg on a string of
length 4.0 m. The ball is pulled back untilits center has risen to
a height of 0.80 m. The ball is released such that it strikes a 1.0
kg block at thebottom of its swing. The block comes to a rest after
traveling 2.0 m across a surface withμk= 0.15.What is the speed of
the ball right after the collision? Is the collision elastic?

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