Phys103lab6.docx - Page |1 Lab 6 Simple Harmonic Motion...

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Lab 6: Simple Harmonic Motion
Henry Rolands
Professor. Yiting Zhu
Phys103A-101
Group 2
10/24/18
Results
Data
Table 1
Mass of total
weight m (kg)
Weight of total
mass w (N) =
mg
Position y
1
(m) Displacement
Y = y
1
– y
0
Spring Constant
(k)
0.25 2.45 N 0.50 0.02 122.5 Nm -1
0.35 3.43 N 0.53 0.05 68.6 Nm -1
0.45 4.41 N 0.54 0.06 73.5 Nm -1
Table 2
Table 3
Mass of
total weight
m (kg)
Time for 20
vibrations (s)
Average time for
20 oscillations
(s)
Oscillation
Period T (s)
T 2
(s
2
)
Spring
Constan
t (k)
0.25 8.49 8.70 0.435 0.19 51.89
Nm
-1
8.66
8.94
0.45 13.36 13.14 0.657 0.43 41.3
Nm
-1
12.35
13.72
Mass of total weight m (kg) Time for 20 cycles for 3cm
amplitude(s)
Spring Constant (k)
0.35 11.59 41.03 Nm -1

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Table 4
Mass of total
weight m (kg)
Time for 20
vibrations (s)
Average time for
20 oscillations
(s)
Oscillation
Period T (s)
T 2 (s 2 ) Spring
Constan
t (k)
0.30 22.09 22.3 1.12 1.25 9.46
Nm
-1
22.58
22.24
0.40 25.01 24.7 1.24 1.54 10.2
Nm
-1
24.01
25.08
0.50 26.7 27.57 1.38 1.90 10.38
Nm -1
27.9
28.1
Graph one [weight (w) vs. displacement (y)]
X-axis = weight (w)

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Y-axis = displacement (y)
Graph two [m vs. T
2
]
X-axis = mass (m)

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Y-axis = T 2 (period 2 )
Graph three [L vs. T 2 ]
X-axis = Length of pendulum (L)

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Y-axis = T 2 (period 2 )
Discussion & Analysis
1.