mender Posted June 20, 2017 Report Share Posted June 20, 2017 Here's a video for the nerds and geeks among us: Application to the real world should be obvious! 5 Quote Link to comment Share on other sites More sharing options...
pintodave Posted June 20, 2017 Report Share Posted June 20, 2017 Ohhh this should be a fun watch this evening (with a glass of wine). Thanks! Quote Link to comment Share on other sites More sharing options...
mender Posted June 20, 2017 Author Report Share Posted June 20, 2017 Don't have too much wine, the implications can be mind-stretching! 1 Quote Link to comment Share on other sites More sharing options...
Evilwheel Posted June 20, 2017 Report Share Posted June 20, 2017 Now I'm missing Mythbusters. But that was really good ! Quote Link to comment Share on other sites More sharing options...
Ham Sammich Posted June 20, 2017 Report Share Posted June 20, 2017 I tend to travel faster than the speed of light. It's likely not much of this applies to me. 4 Quote Link to comment Share on other sites More sharing options...
enginerd Posted June 21, 2017 Report Share Posted June 21, 2017 12 hours ago, mender said: Here's a video for the nerds and geeks among us: Cool video, thanks for sharing! For those looking for further reading on this subject, check out "Variational Methods with Applications in Science and Engineering" by Kevin Cassel. Pages 47-51 show the variational calculus solution to the problem. The whole book is devoted to optimization problems in many fields, solved with variational calculus. Here is the TL:DR version of the brachistochrone problem: 2 Quote Link to comment Share on other sites More sharing options...
mender Posted June 21, 2017 Author Report Share Posted June 21, 2017 The fun part of this is that to optimize a racing line one must realize that the vertical scale varies according to the gear and the torque curve. Quote Link to comment Share on other sites More sharing options...
turbogrill Posted June 21, 2017 Report Share Posted June 21, 2017 42 minutes ago, enginerd said: Cool video, thanks for sharing! For those looking for further reading on this subject, check out "Variational Methods with Applications in Science and Engineering" by Kevin Cassel. Pages 47-51 show the variational calculus solution to the problem. The whole book is devoted to optimization problems in many fields, solved with variational calculus. Here is the TL:DR version of the brachistochrone problem: The book doesn't mention turbo charger or E36. I think it's wrong. 5 Quote Link to comment Share on other sites More sharing options...
Ham Sammich Posted June 21, 2017 Report Share Posted June 21, 2017 5 hours ago, enginerd said: Cool video, thanks for sharing! I feel I've learned about 100 new words, none of which I'll remember tomorrow. 4 Quote Link to comment Share on other sites More sharing options...
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