Analysis The second equation can be rewritten as T2 m which will then be used to correlate to a k linear graphical analysis. As T? versus m is now linear, Table 3 can now be created based on Table 2. Table 3 Mass and Time squared m (kg) T (s) T2 0.55 .303 0.050 0.75 .563 0.100 0.95 .903 0.150 1.1 1.21 0.250 1.2 1.44 0.300 Using Table 3, T² (y-axis) was graphed versus m. The previous equation can be rewritten as 472 slope 472 and further rewritten as k [k 8.93] slope 4.4226
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.
Why do I keep getting such different answers for the spring constant?
![Analysis
The second equation can be rewritten as T2
472
m which will then be used to correlate to a
k
linear graphical analysis. As T? versus m is now linear, Table 3 can now be created based on
Table 2.
Table 3 Mass and Time squared
m (kg)
T (s)
T2
0.55
.303
0.050
0.75
.563
0.100
0.95
.903
0.150
1.1
1.21
0.250
1.2
1.44
0.300
Using Table 3, T² (y-axis) was graphed versus m. The previous equation can be rewritten as
472
472
slope
and further rewritten as k
k
[k:
8.93]
slope
4.4226](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F459d8b63-efb7-453b-af0e-0b7134cd3e8e%2F0098f0f1-665c-40c9-905a-447769a89387%2Fy8sfswb_processed.png&w=3840&q=75)
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