scripts/TP1 09.26 rope over table edge.LACE

   1 # a rope slides frictionlessly down the edge of a table
   2 # x'' = g/l * x
   3
   4 coefficient(1): 1 -> x0'   # initial speed
   5 coefficient(2): -1 -> -x0  # initial length of rope already over the edge of the table
   6 coefficient(3): g/l        # gravity constant (g) divided by the length of the rope (l)
   7
   8 iintegrate (x'') -> -x':
   9    IC: x0'
  10 iintegrate (-x') -> x:
  11    IC: -x0
  12 x * g/l -> g/l*x = x''
  13
  14 # note: positive x-axis in the direction of the falling rope (so down)
  15 #       for visualization, -x is displayed
  16 invert (x) -> -x # goes to output x