X-Git-Url: https://permondes.de/gitweb/Analog_Engine.git/blobdiff_plain/5696855722ffee5fe74137923409eeaf0c6cff24..refs/heads/main:/scripts/TP1%2009.27%20Bead%20on%20Cycloid.LACE?ds=sidebyside diff --git a/scripts/TP1 09.27 Bead on Cycloid.LACE b/scripts/TP1 09.27 Bead on Cycloid.LACE index 3f28dd3..8931f63 100644 --- a/scripts/TP1 09.27 Bead on Cycloid.LACE +++ b/scripts/TP1 09.27 Bead on Cycloid.LACE @@ -4,32 +4,32 @@ # equation of motion: # mu'' = - g/4a * mu, with mu = sin(phi/2) and phi a parameter of the cycloid -coefficient(1): g/4a -coefficient(2): 1 -> mu0' -coefficient(3): -1 -> -mu0 -coefficient(4): 4ax -coefficient(5): 4ay # same as 4ax +alias coefficient.1 g/4a +coefficient.2 (+1) -> mu0' +coefficient.3 (-1) -> -mu0 +alias coefficient.4 4ax +alias coefficient.5 4ay # same as 4ax iintegrate mu'' -> -mu' IC: mu0' iintegrate -mu' -> mu IC: -mu0 invert mu -> -mu --mu * g/4a -> -g/4a*mu -mu'' = -g/4a*mu +coefficient.g/4a (-mu) -> -g/4a*mu +assign -g/4a*mu -> mu'' # the following is for displaying the cycloid in x-y space # calculating x (NB: this includes some unacceptable approximations) -mu * 4ax -> 4a*mu -output(x): 4a*mu +coefficient.4ax (mu) -> 4a*mu +output(4a*mu) -> out.x # calculating y multiply mu, mu -> mu^2 -mu^2 * 4ay -> 4ay*mu^2 +coefficient.4ay (mu^2) -> 4ay*mu^2 isum 4a*mu^2 -> -2a*mu^2 # just serves to devide by 2 because we need 2a instead of 4a /2 invert -2a*mu^2 -> 2a*mu^2 -output(y): 2a*mu^2 +output(2a*mu^2) -> out.y # display mu, so the sinus -output(z): mu +output(mu) -> out.z