Applications: Longitudinal oscillating chains; PDEs

[Analog_Engine.git] / scripts / TP1 09.26 rope over table edge.LACE

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+# a rope slides frictionlessly down the edge of a table
+# x'' = g/l * x
+
+coefficient(1): 1 -> x0'   # initial speed
+coefficient(2): -1 -> -x0  # initial length of rope already over the edge of the table
+coefficient(3): g/l        # gravity constant (g) divided by the length of the rope (l)
+
+iintegrate (x'') -> -x':
+   IC: x0'
+iintegrate (-x') -> x:
+   IC: -x0
+x * g/l -> g/l*x = x''
+
+# note: positive x-axis in the direction of the falling rope (so down)
+#       for visualization, -x is displayed
+invert (x) -> -x # goes to output x