Imagine thnat you have three long springs. II you measure the speed of transverse w along the springs, you would accumulate the data given in the following table. Force exerted on the | Amplitude end of the spring Spring Frequency Mass/length number (cm) (Hz) (kg/m) (tension, N) 1 4.0 10 2 0.16
Simple harmonic motion
Simple harmonic motion is a type of periodic motion in which an object undergoes oscillatory motion. The restoring force exerted by the object exhibiting SHM is proportional to the displacement from the equilibrium position. The force is directed towards the mean position. We see many examples of SHM around us, common ones are the motion of a pendulum, spring and vibration of strings in musical instruments, and so on.
Simple Pendulum
A simple pendulum comprises a heavy mass (called bob) attached to one end of the weightless and flexible string.
Oscillation
In Physics, oscillation means a repetitive motion that happens in a variation with respect to time. There is usually a central value, where the object would be at rest. Additionally, there are two or more positions between which the repetitive motion takes place. In mathematics, oscillations can also be described as vibrations. The most common examples of oscillation that is seen in daily lives include the alternating current (AC) or the motion of a moving pendulum.
![Imagine that
you
have three long springs. If you measure the speed of transverse wave pulses
along the springs, you would accumulate the data given in the following table.
Spring
Force exerted on the | Amplitude
Frequency
Mass/length
Speed
number
end of the spring
(cm)
(Hz)
(kg/m)
(m/s)
(tension, N)
1
4.0
10
2
0.16
5.0
1
8.0
10
2
0.16
7.1
1
16.0
10
2
0.16
10.0
1
4.0
10
0.16
5.0
4.0
20
2
0.16
5.0
1
4.0
30
0.16
5.0
1
4.0
10
0.16
5.0
1
4.0
10
3
0.16
5.0
1
4.0
10
4
0.16
5.0
1
4.0
10
0.16
5.0
2
4.0
10
0.080
7.1
3
4.0
10
2
0.040
10.0
Collaborate with your group to come up with an expression that can be used to determine the
speed of the wave as a function of different properties of the springs. You are looking for a
speed, so your properties must combine in a way that gives units of m/s.
Explain how you came to your result in this report.
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