Wewus432 Posted January 6, 2003 Posted January 6, 2003 It's true! I read it on the internet. Weeeeeeell, ever heard, that alcohol destroys brain cells, that's not exactly true BUT, studies have shown that long term alchohol abuse can cause a shrinking of the cerebral cortex. In other words alcoholics become stupid. Dooooooohng! You might not notice it until you try to do something that requires higher brain function such as a complicated math problem. Here's a test: [img]http://www.thewizardofodds.com/math/prob3.gif[/img] If you drew a dot on the edge of a wheel and traced the path of the dot as the wheel rolled one complete revolution along a line, then the path formed would be called a cycloid (shown above), combining both forward and circular motion. What is the length of the path formed by one complete revolution? Assume the wheel has a radius of 1. [b]Clue: if you said 4 you're stupid.[/b]
Mats Olsson. Posted January 6, 2003 Posted January 6, 2003 I'd say 3.14 (but what do I know, I have tasted the evil lemonade). /Mats http://www.lexam.net/peter/carnut/man.gif What do we want? Procrastination! When do we want it? Later!
Wewus432 Posted January 6, 2003 Author Posted January 6, 2003 One clue that you do have bad brain damage is when you answer pi to any math problem.
The Bear Jew Posted January 6, 2003 Posted January 6, 2003 I don't even understand the question. Must be all the nachos in my system. \m/ Erik "To fight and conquer in all your battles is not supreme excellence; supreme excellence consists of breaking the enemy's resistance without fighting." --Sun Tzu
Botch. Posted January 6, 2003 Posted January 6, 2003 I can't find the answer in the CRC Standard Math Tables handbook, and my Advanced Engineering Math book is at home, so I can't answer right now. Did you know, however, that if that point represented the tread on an automobile tire travelling at 60 mph, that point alternates between 0 mph (when it is in non-sliding contact with the stationary road) and 120 mph ( when it is at the top of the tire, its travelling twice as fast forward as the axle). Wouldn't it be cool to design a carnival ride that did this? Botch "Eccentric language often is symptomatic of peculiar thinking" - George Will www.puddlestone.net
Mats Olsson. Posted January 6, 2003 Posted January 6, 2003 [quote]Originally posted by TheWewus: [b]One clue that you do have bad brain damage is when you answer pi to any math problem.[/b][/quote]Oh yeah? Would that make me twice as brain damaged if I change my answer to pi x 2? Forget what I said before, I bet a bowl of nachos with jalapenos & hot cheese that 6.28 is the correct answer (or at least very close)! /Mats http://www.lexam.net/peter/carnut/man.gif What do we want? Procrastination! When do we want it? Later!
Wewus432 Posted January 7, 2003 Author Posted January 7, 2003 The answer is 8. Here's how I got that: Contrary to the diagram in the problem, place the center of the wheel at (0,0) and draw the point at (0,1). Let t be the distance the center of the wheel has moved from (0,0). Then: x=t+sin(t) y=cos(t) Taking the derivitives: dx/dt=1+cos(t) dy/dt=-sin(t) The change in arc length can be defined as ( (dx/dt)2 + (dy/dt)2 ) 1/2. So the total arc length is the integral from 0 to 2pi of ( (dx/dt)2 + (dy/dt)2 ) 1/2. After a few steps this integral becomes: 21/2 * (1+cos(t))1/2. Multiply by (1-cos(t))1/2 / (1-cos(t))1/2 and the integral becomes: 21/2 * sin(t) / (1-cos(t))1/2. Let u=cos(t) and the integral becomes: 21/2 * (1-u)-1/2. Integrating this you get: 21/2 * 2 * (1-u)1/2 . The bounds are 0 to 2*pi, so the total arc length is: 21/2 * 2 * (21/2+21/2) = 21/2 * 2 * 2 * 21/2 = 8 See, pretty easy huh?
Mats Olsson. Posted January 7, 2003 Posted January 7, 2003 I hate to do alphabetized math. :freak: Numbers are from Egypt, letters are from Rome. Geddit? /Mats http://www.lexam.net/peter/carnut/man.gif What do we want? Procrastination! When do we want it? Later!
not Cereal Posted January 7, 2003 Posted January 7, 2003 i vant feggur it out i guess i amis stoopid. meeby toomush drinking going onb in me tummy or many too22 n8chos. unsure what i am talkingg aboot. but enyoway i dont understend me brown is sliuppoio f even edited this post m,ekla no cents
realtrance Posted January 7, 2003 Posted January 7, 2003 Wewus, you spelled "derivatives" wrong... I started out brilliant as a child, but realized by the time I was around 22 that that was going to get in the way of my success in life. So I've been doing everything possible to dumb myself down ever since. Seemed to be working up until this year. Oh well. rt
Brakka Posted January 7, 2003 Posted January 7, 2003 I find it interesting that Wewus is [i]not[/i] a Bastard. :) Hey Wewus- sorry to go off on a tangent, but will you cosine my log?
Tedster Posted January 7, 2003 Posted January 7, 2003 Can you say "Calculus helps me win barroom bets?" "Cisco Kid, was a friend of mine"
Brakka Posted January 7, 2003 Posted January 7, 2003 Can [i]you[/i] say it with a Scottish accent? [img]http://www.tvdance.com/austinpowers2/images/fatdance-.gif[/img]
Tedster Posted January 7, 2003 Posted January 7, 2003 [quote]Originally posted by Brakka.: [b]Can [i]you[/i] say it with a Scottish accent? [img]http://www.tvdance.com/austinpowers2/images/fatdance-.gif[/img][/b][/quote]Hut man, Brrrrakka...wherrrrrre'd ye get that dancing Fat Bastard, laddie? And do ye mind me stealin' it for a wee bit? Not for long...but it's better than mine. And the only thing I can rrreally say in Gaelic is: "She canna take it no morrrrrre, Cap'n...she's burrrrrnin' up!" "Cisco Kid, was a friend of mine"
Brakka Posted January 7, 2003 Posted January 7, 2003 http://www.tvdance.com/austinpowers2/images/fatdance-.gif tvdance.com is pretty hilarious, but it has crashed my computer more than once. Not sure why. Knock yourself out though, you Bastard.
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