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10 replies to this topic

#1 Yoruichi-san

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Posted 02 July 2013 - 05:22 AM

One of the most famous problems in the history of mathematics, posed by Johann Bernoulli in 1696 (I won't state the official name of it, in order to make it not too google-able ;P):

 

Find the curve along which a particle will slide without friction in the minimum time from one given point P to another point Q, the second point being lower than the first but not directly beneath it.


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#2 Brainy Binary

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Posted 05 July 2013 - 11:26 AM

What is the value of g ? Is the marble rolling?


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#3 Yoruichi-san

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Posted 05 July 2013 - 06:35 PM

You can use g to represent the gravitational constant, the answer should be in terms of g.  I'm not sure what you mean by the other question, it's particle sliding down the path you choose without friction.


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Women are definitely stronger. We are [Fe]males, after all...

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<3 BBC's Sherlock, the series and the man. "Smart is the new sexy."

Chromatic Witch links now on my 'About Me' page! Episode 3 is finally here!

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#4 phil1882

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Posted 05 July 2013 - 10:49 PM

well the shortest distance between any two points would be a straight line, so I'll go with that.

unless we are trying to find a curve with the minimum friction.


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#5 BMAD

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Posted 05 July 2013 - 10:52 PM

Spoiler for not serious, seriously


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#6 Yoruichi-san

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Posted 05 July 2013 - 11:09 PM

well the shortest distance between any two points would be a straight line, so I'll go with that.

unless we are trying to find a curve with the minimum friction.

 

Yes, but the particle is not moving at constant speed ;).  It starts out with no momentum (perhaps I should have specified that, but I thought it was implied), so its momentum is dictated by gravity.

 

Spoiler for not serious, seriously

 

Lol...sorry it's the path it slides along, not by ;P.


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Women are definitely stronger. We are [Fe]males, after all...

Some of what makes me me is real, some of what makes me me is imaginary...I guess I'm just complex. ;P

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Chromatic Witch links now on my 'About Me' page! Episode 3 is finally here!

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#7 BMAD

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Posted 06 July 2013 - 12:11 AM

 

well the shortest distance between any two points would be a straight line, so I'll go with that.

unless we are trying to find a curve with the minimum friction.

 

Yes, but the particle is not moving at constant speed ;).  It starts out with no momentum (perhaps I should have specified that, but I thought it was implied), so its momentum is dictated by gravity.

 

Spoiler for nice hint :blush:

 

 

 


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#8 phil1882

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Posted 07 July 2013 - 04:33 AM

okay  i think i got ya y-chan.

Spoiler for

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#9 TimeSpaceLightForce

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Posted 07 July 2013 - 07:54 AM

Spoiler for


Edited by TimeSpaceLightForce, 07 July 2013 - 07:54 AM.

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#10 k-man

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Posted 08 July 2013 - 03:12 PM

Spoiler for BMAD has it


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