Properties of AS1 Spring
# C cells Weight Length 40.3 - length
5 0.4 27.5 12.8 0.4
6 0.468571429 28.65 11.65
7 0.537142857 29.8 10.5
8 0.605714286 30.9 9.4
9 0.674285714 32.1 8.2
10 0.742857143 33.15 7.15
11 0.811428571 34.3 6
12 0.88 35.45 4.85 0.88
13 0.948571429 36.6 3.7
K = 0.060459746
SUMMARY OUTPUT
Regression Statistics
Multiple R 0.99996788
R Square 0.99993576
Standard Error 0.026614532
Observations 9
ANOVA
df SS MS F Significance F
Regression 1 77.18004167 77.18004167 108960.1 6.18E-16
Residual 7 0.004958333 0.000708333
Total 8 77.185
Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0%
Intercept 20.89736111 0.034931867 598.2320111 9.63E-18 20.81476 20.97996 20.81476 20.97996
X Variable 1 16.53993056 0.050107186 330.0909857 6.18E-16 16.42145 16.65842 16.42145 16.65842
RESIDUAL OUTPUT
Observation Predicted Y Residuals
1 27.51333333 -0.013333333
2 28.6475 0.0025
3 29.78166667 0.018333333
4 30.91583333 -0.015833333
5 32.05 0.05
6 33.18416667 -0.034166667
7 34.31833333 -0.018333333
8 35.4525 -0.0025
9 36.58666667 0.013333333
The spring equation is:  "force" (kg) = (stretched length of spring in cm minus 20.9) * (1/16.5
The spring equation is:  "force" (kg) = (stretched length of spring in m minus .209) * (100/16.
The spring equation is:  "force" (kg) = (stretched length of spring in m minus .209) * (6.04)
"zero" spring length= 0.209 m
Spring K 6.04 kg/m
AS1 dimensions:
Fudged a bit so check would work Measured
X= 0 m 0 m
Y= 0.158 m 0.158 m
Xp= 0.333 m 0.335 m
Yp= 0.013 m 0.013 m
m= 0.288 m 0.287 m
Mass= 0.43 kg 0.41 kg
spring length with boom horizontal = sqrt(Xp**2 + (Y-Yp)**2)
Formulas:
spring length with boom horizontal = 0.363 m SQRT(POWER(D62,2) + (POWER(D61-D63, 2)))
spring tension= 0.931 kg (D73-D55)*D56
Spring angle= 23.53 degrees 180*ATAN((D61-D63)/D62)/PI()
Vertical force of spring on boom= 0.37 kg D74*SIN(D75*PI()/180)
Check: These should be equal.
Spring torque= 0.124 kg-m D77*D62
Mass torque= 0.124 kg-m D65*D64

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