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

# 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
Commit	Line	Data
6e4089e8 P	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
48debccd	6	coefficient(3): g/l # gravity constant (g) divided by the length of the rope (l)
6e4089e8 P	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