Position
y
1
(m)
Displacement
y = y
1
– y
o
(m)
0.05 + 0.10
1.47
124.2
.100
0.05 + 0.15
1.96
123.9
.400
0.05 + 0.20
2.45
123.1
1.20
0.05 + 0.25
2.94
121.7
2.60
0.05 + 0.30
3.43
120.7
3.60
0.05 + 0.35
3.92
119.3
5.00
0.05 + 0.40
4.41
118.3
6.00
0.05 + 0.45
4.90
117.1
7.20
0.05 + 0.50
5.39
116.05
8.25
y
o
= 124.3
0
1
2
3
4
5
6
7
8
9
0
1
2
3
4
5
6
f(x) = 0.45x + 1.72
Weight vs Displacement
Displacement (m)
Weight (N)
Slope = k = .4478 N/m
Table 2
Mass of total weight m (kg)
Time for 20 cycles for 1cm
amplitude (s)
Time for 20 cycles for 3cm
amplitude (s)
0.05 + 0.30
12.57
12.33
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
)
0.05 + 0.20
9.80
9.85
.4925
.2426
9.68
10.06
0.05 + 0.25
11.17
11.19
.5595
.3130
11.23
11.16
0.05 + 0.30
12.15
12.11
.6055
.3666
12.02
12.15
0.05 + 0.35
12.86
12.95
.6475
.4193
13.00
12.98
0.05 + 0.40
13.54
1.55
.6775
.4590
13.53
13.58
0.2
0.25
0.3
0.35
0.4
0.45
0.5
0
0.05
0.1
0.15
0.2
0.25
0.3
0.35
0.4
0.45
0.5
f(x) = 0.92x + 0.02
Mass vs T2
T^2 (s^2)
Mass (kg)
Table 4
Length L of
pendulum (m)
Time for 20
vibrations (s)
Average time for 20
oscillations (s)
Oscillation period
T (s)
T
2
(s
2
)
0.10
13.29
13.63
.6817
.465
14.13
13.48
0.20
19.16
18.82
.9412
.886
18.47
18.84
0.30
23.18
22.70
1.135
1.288
22.49
22.43
0.40
25.17
25.13
1.2565
1.579
25.03
25.20
0.50
28.41
28.33
1.4165
2.006
28.37
28.22
0.2
0.4
0.6
0.8
1
1.2
1.4
1.6
1.8
2
2.2
0
0.1
0.2
0.3
0.4
0.5
0.6
f(x) = 0.26x - 0.03
Length vs T2
T^2 (S^2)
Length (L)
Discussion1.Analyze each of the reasons for errors:a) Timing the oscillations (start and stop)
