1. How does your theoretical value for oscillation compare to the measured value of the period of oscillation? 2. When the position of the mass is farthest from equilibrium, what is its velocity? 3. When the magnitude of the mass's velocity is greatest, where is the mass relative to the equilibrium position?

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1. How does your theoretical value for oscillation compare to the measured value of the period of oscillation?

2. When the position of the mass is farthest from equilibrium, what is its velocity?

3. When the magnitude of the mass's velocity is greatest, where is the mass relative to the equilibrium position?

4
! 5
Data Table 1: Determination of k
Force vs. weight
y = 32.087x
R2 = 0.9999
! 6
2.5
x (m)
Force (N)
7
m (kg)
I 8
2
I 9
0.05
0.015
0.4905
1.5
10
0.1
0.031
0.981
i 11
0.2
0.061
1.962
1
| 12
0.5
13
k (N/m)
32.087
! 14
Data Table 2: Determination of T
15
0.02
0.04
0.06
0.08
I 16
I 17
Peak
Time (s)
Period (s)
18
1
0.200
I 19
2
0.500
0.300
| 20
3
0.900
0.400
21
4
1.250
0.350
| 22
5
1.600
0.350
Ttheo
| 23
1.950
0.350
k
: 24
7
2.350
0.400
: 25
8
2.700
0.350
|Ttheo-Tmean|
% Difference
x 100%
: 26
: 27
Tmean (s)
Ttheo
0.357
: 28
29
Ttheo (s)
0.3507
m oscillating (kg)
0.1
! 30
! 31
% Diff (s)
1.79
32
Transcribed Image Text:4 ! 5 Data Table 1: Determination of k Force vs. weight y = 32.087x R2 = 0.9999 ! 6 2.5 x (m) Force (N) 7 m (kg) I 8 2 I 9 0.05 0.015 0.4905 1.5 10 0.1 0.031 0.981 i 11 0.2 0.061 1.962 1 | 12 0.5 13 k (N/m) 32.087 ! 14 Data Table 2: Determination of T 15 0.02 0.04 0.06 0.08 I 16 I 17 Peak Time (s) Period (s) 18 1 0.200 I 19 2 0.500 0.300 | 20 3 0.900 0.400 21 4 1.250 0.350 | 22 5 1.600 0.350 Ttheo | 23 1.950 0.350 k : 24 7 2.350 0.400 : 25 8 2.700 0.350 |Ttheo-Tmean| % Difference x 100% : 26 : 27 Tmean (s) Ttheo 0.357 : 28 29 Ttheo (s) 0.3507 m oscillating (kg) 0.1 ! 30 ! 31 % Diff (s) 1.79 32
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