Throwing a stone on earth, starting a rocket from earth

[Analog_Engine.git] / scripts / TP1 09.27 Bead on Cycloid.LACE

diff --git a/scripts/TP1 09.27 Bead on Cycloid.LACE b/scripts/TP1 09.27 Bead on Cycloid.LACE
index 3f28dd3abc3a449efabd1d7140c3473b944fae45..8931f63b37bf697e1849ee9afa01f17d3b001f14 100644 (file)
--- 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 
 
 # 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
 
 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)
 
 # 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
 
 # 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 
 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
 
 # display mu, so the sinus

-output(z): mu
+output(mu) -> out.z