Physics of Maximum Amplitude versus Driving Frequency Question
lookang
245 Posts
Physics of Maximum Amplitude versus Driving Frequency Question referring an original model found in EJS examples found in.....\source\users\davidson\wochristian\osc\SHOResonance.xml
Dear Prof Wolfgang,
i am puzzled as to the correct ODE equation for the driving force's acceleration component.
is it
+A*Math.cos(omegaD*t)/m
or
+A*Math.sin(omegaD*t)/m .
the resultant plots for +A*Math.cos(omegaD*t)/m starts at Amplitude =1 which is what i believe is correct but it does not have the maximum curve characteristics (see picture)
for case 2: the resultant plots for +A*Math.sin(omegaD*t)/m starts at Amplitude =0 which is what i believe NOT correct but it has the maximum curve characteristics (see picture).
Any advise how i can model the driving force such that
1) start at Amplitude= 1 (usually we teach with a non-zero value in our lecture notes)
2) has the desired maximum curve characteristics which exists in our teaching materials (usually we do teach this feature).