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Hey guys,
bit stuck here with this problem
I have a differential equation for SHM here in the form
x= A cos 10.7t + B sin 10.7t
I need to find the constants of integration. w = 10.7 as above
I don't have anything other than experimental data
Time Second Distance / m
0 0
0.05 -0.008
0.1 -0.008
0.15 -0.008
0.2 -0.009
0.25 -0.014
0.3 -0.019
0.35 -0.029
0.4 -0.036
0.45 -0.045
0.5 -0.051
0.55 -0.056
0.6 -0.054
0.65 -0.029
0.7 -0.012
0.75 0.011
0.8 0.031
0.85 0.055
0.9 0.049
0.95 0.025
1 0.002
1.05 -0.032
1.1 -0.047
1.15 -0.055
1.2 -0.047
1.25 -0.021
1.3 0.002
1.35 0.035
1.4 0.049
1.45 0.054
1.5 0.045
1.55 0.016
1.6 -0.006
1.65 -0.038
1.7 -0.051
1.75 -0.053
1.8 -0.042
1.85 -0.012
1.9 0.011
1.95 0.04
2 0.052
Since x=0 when t = 0
I get A = 0 ... A Cos 0 =0
But then I also seem to get B=0 which makes no sense.
If B is the amplitude of the function then sure it must 0.055m or thereabouts
Any ideas on working out B
I have tried other values but to no avail.
thanks a lot
sid
Edit/ The first value of the data ist he time value and the second one is the displacement value
bit stuck here with this problem
I have a differential equation for SHM here in the form
x= A cos 10.7t + B sin 10.7t
I need to find the constants of integration. w = 10.7 as above
I don't have anything other than experimental data
Time Second Distance / m
0 0
0.05 -0.008
0.1 -0.008
0.15 -0.008
0.2 -0.009
0.25 -0.014
0.3 -0.019
0.35 -0.029
0.4 -0.036
0.45 -0.045
0.5 -0.051
0.55 -0.056
0.6 -0.054
0.65 -0.029
0.7 -0.012
0.75 0.011
0.8 0.031
0.85 0.055
0.9 0.049
0.95 0.025
1 0.002
1.05 -0.032
1.1 -0.047
1.15 -0.055
1.2 -0.047
1.25 -0.021
1.3 0.002
1.35 0.035
1.4 0.049
1.45 0.054
1.5 0.045
1.55 0.016
1.6 -0.006
1.65 -0.038
1.7 -0.051
1.75 -0.053
1.8 -0.042
1.85 -0.012
1.9 0.011
1.95 0.04
2 0.052
Since x=0 when t = 0
I get A = 0 ... A Cos 0 =0
But then I also seem to get B=0 which makes no sense.
If B is the amplitude of the function then sure it must 0.055m or thereabouts
Any ideas on working out B
I have tried other values but to no avail.
thanks a lot
sid
Edit/ The first value of the data ist he time value and the second one is the displacement value