able 1. Simple Pendulum Number of Vibrations: 25 Length of the pendulum l (m) Total Time (s) Period T (s) Square of the period T2 (s2) 0.40 31.28 1.25 1.56 0.50 35.44 1.41 1.99 0.60 38.78 1.55 2.40 0.70 41.90 1.67 2.79 0.80 44.72 1.78 3.20 Do a graph based on the table. X-axis (Length of the Pendulum) and Y-axis (square of the period) 1.) What is the value of g from the slope of graph 1? 2.) What is the error of slope (∆g) from graph 1? 3.) Compare the computed value of g to the accepted value of 9.8 m/s2.
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.
Table 1. Simple Pendulum
Number of Vibrations: 25
| Length of the pendulum l (m) |
Total Time (s) |
Period T (s) |
Square of the period T2 (s2) |
| 0.40 | 31.28 | 1.25 | 1.56 |
| 0.50 | 35.44 | 1.41 | 1.99 |
| 0.60 | 38.78 | 1.55 | 2.40 |
| 0.70 | 41.90 | 1.67 | 2.79 |
| 0.80 | 44.72 | 1.78 | 3.20 |
Do a graph based on the table.
X-axis (Length of the Pendulum) and Y-axis (square of the period)
1.) What is the value of g from the slope of graph 1?
2.) What is the error of slope (∆g) from graph 1?
3.) Compare the computed value of g to the accepted value of 9.8 m/s2.
Table 2. Stationary Elongated Spring
Mass of the spring: 0.0154 kg
Zero-load reading y: 0.4 number of Vibrations: 25
| Suspended mass m (kg) |
Load Force F= mg (N) |
Scale Reading y1 (m) |
Elongation y = y1 - y2 (m) |
| 0.080 | 0.78 | 4.34 | 3.92 |
| 0.130 | 1.28 | 4.52 | 4.12 |
| 0.180 | 1.77 | 4.65 | 4.25 |
| 0.230 | 2.26 | 4.90 | 4.50 |
| 0.280 | 2.75 | 5.05 | 4.65 |
| 0.330 | 3.24 | 5.23 | 4.83 |
Do a graph based on the table.
X-axis (Load Force F= mg (N) and Y-axis (Elongation y = y1 - y2 (m) )
1.) What is the value of k1 and its error (∆k1) from graph 2?
Table 3
Mass of the spring: 0.0154 kg
Number of Oscillations: 25
| Suspended mass m (kg) |
Effective Mass |
Total time |
Period T (s) |
Square of the period T2 (s2) |
| 0.180 | 13.56 | |||
| 0.230 | 14.81 | |||
| 0.280 | 15.59 | |||
| 0.330 | 16.96 | |||
Do a graph based on the table.
X-axis (Effective Mass meff (kg)) and Y-axis (Square of the periodT2 (s2) )
1.) From graph 3, what is the value of k2 and its error (∆k2)?
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