Spring22 Simple Harmonic Motion Lab Online
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Dec 6, 2023
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Analysis of Simple Harmonic Motion Lab
Table 1 (20 points for first and third columns)
Mass (kg)
Weight (N)
Displacement, Δy (m)
0.050 kg
0.491 N
0.13 m
0.075
0.736
0.19
0.100
0.981
0.25
0.125
1.226
0.32
0.150
1.472
0.38
0.175
1.717
0.43
0.200
1.962
0.50
0.225
2.207
0.56
0.250
2.453
0.62
0.275
2.698
0.68
0.300
2.943
0.74
1.
Calculate the weight for each mass and fill in the middle column. Show the work for one
of these calculations to receive credit. (5 points)
-
Weight = mass x gravity
-
Weight = 0.05 kg x 9.81 m/s
2
= 0.49 N
2.
Using Excel or some other graphing program, plot Weight vs Displacement. Use the
trendline to find the slope of your graph. The slope is the Spring Constant of this spring.
Record the value of the slope in the space provided below. Turn in this graph with the
lab worksheet. Make sure the trendline is displayed on the graph.
1
Measured Spring Constant, k (N/m):
___4.0131 N/m___ (10 points)
Table 2 (5 points)
Mass (kg)
0.100 kg
Time (s)
9.95 s
Calculate the experimental value of the period of oscillation by simply dividing the time you
measured by 10.
Average Period, T
avg
(s)
:__0.995 s__
1.
Using 0.100 kg as the mass, and the value of your experimental force constant, calculate
the theoretical value of the period for your spring mass system. (5 points)
2.
Calculate the % error between your experimental and calculated period. (5 points)
2
3.
In theory, relative to the equilibrium position, where is the mass when its speed is at its
maximum? (10 points)
-
When the displacement is zero, at equilibrium position, the speed is a maximum. So, the
mass is at zero displacement or equilibrium position.
4.
In theory, relative to the equilibrium position, where is the mass when its speed is zero?
(10 points)
-
When the displacement is at maximum, or the spring is fully compressed, the speed is
zero. So, the mass is at maximum displacement or fully compressed.
5.
In theory, relative to the equilibrium position, where is the mass when its acceleration is
at its maximum? (10 points)
-
When the displacement is at maximum, fully compressed, the acceleration is at
maximum. So, the mass is at maximum displacements when its acceleration is at its
maximum.
6.
In theory, relative to the equilibrium position, where is the mass when its acceleration is
zero? (10 points)
-
When the displacement is zero, at equilibrium position, the acceleration is zero. There is
no force acting on the mass at equilibrium position, so the acceleration is zero.
3
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7.
Do the results of our experiment confirm theoretical predictions?
Explain your answer.
(10 points)
-
Yes, the results of our experiment confirm theoretical predictions. Based upon our
calculated percentage error of 0.32%, this is an extremely low error. Meaning that our
experimental period value is almost the same as the theoretical period value.
4
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