| 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 |