droopyArrow(), aka catenary

[tophtucker]

Math here:

• http://www.math.odu.edu/~jhh/ch54.PDF

Mathematica implementation:

• http://demonstrations.wolfram.com/CatenaryTheHangingChain/
• http://demonstrations.wolfram.com/sourcecode.html?demoname=CatenaryTheHangingChain&demodisplayname=Catenary%3A%20The%20Hanging%20Chain

[tophtucker]

More math, may or may not be helpful:

• http://www.ce.berkeley.edu/~coby/E36/cable.pdf
• https://www.fhwa.dot.gov/publications/research/infrastructure/bridge/05083/appendg.cfm

The Mathematica demonstration is in exactly the right form but I uh can't totally read it.

[tophtucker]

Ok closing these tabs for the moment...

• http://demonstrations.wolfram.com/sourcecode.html?demoname=CatenaryTheHangingChain&demodisplayname=Catenary%3A%20The%20Hanging%20Chain
• http://www.ce.berkeley.edu/~coby/E36/cable.pdf
• http://math.stackexchange.com/questions/1000447/finding-the-catenary-curve-with-given-arclength-through-two-given-points
• https://www.fhwa.dot.gov/publications/research/infrastructure/bridge/05083/appendg.cfm
• https://www.fhwa.dot.gov/publications/research/infrastructure/bridge/05083/appendg.cfm
• http://www.numericjs.com/documentation.html

Should be all you need. Somewhat redundant with the above.

[mhkeller]

@tophtucker would love to see droopy happen