Question: How long is the banana?
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From: UCIrvine
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Originally Posted by ish
The banana doesn't exist, it weighs nothing and is hences zero inches long and not there.
rope is equal on both sides, it doesn't matter what it weighs, it cancels itself out. the weight weighs the same as the monkey. the system is already in equilibrium.
All that stuff about the monkey and it's mom is in relation to the length of the rope which we don't care about because we already know that it is the same length on each side.
rope is equal on both sides, it doesn't matter what it weighs, it cancels itself out. the weight weighs the same as the monkey. the system is already in equilibrium.
All that stuff about the monkey and it's mom is in relation to the length of the rope which we don't care about because we already know that it is the same length on each side.
That's true if the question had to be true to physics...I was under the impression that this question was purely for math.
But you're probably right...
M= monkey's weight
B= banana's weight
W= the weight
R= rope's weight
r= rope's length
b= banana's length
m= monkey's age
mm= mother's age
mm= (1/2 x 3 x 1/2 x 4 x 2 x 1/3 x 3 x 1/4 ) m
= 3/2 m
mm= 30 - m
30 - m= 3/2 m
30
= 5/2 m
m= 12
mm= 30 - m
mm= 18
M= W
= mm
= 18 oz
R= 4/9 r
= 4/9 (12 m)
= 64 oz.
1/2 M + B
= 1/4(W+R)
B= 1/4(18 + 64) - 9
= 41/2 - 18/2
= 23/2 oz.
b= 1/2 B
= 1/2 x 23/ 2
= 23/ 4
= 5 3/4 in.
B= banana's weight
W= the weight
R= rope's weight
r= rope's length
b= banana's length
m= monkey's age
mm= mother's age
mm= (1/2 x 3 x 1/2 x 4 x 2 x 1/3 x 3 x 1/4 ) m
= 3/2 m
mm= 30 - m
30 - m= 3/2 m
30
= 5/2 m
m= 12
mm= 30 - m
mm= 18
M= W
= mm
= 18 oz
R= 4/9 r
= 4/9 (12 m)
= 64 oz.
1/2 M + B
= 1/4(W+R)
B= 1/4(18 + 64) - 9
= 41/2 - 18/2
= 23/2 oz.
b= 1/2 B
= 1/2 x 23/ 2
= 23/ 4
= 5 3/4 in.
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we have a winner! 5.75 inches is the correct answer, and pbchief nailed the proof.
(actually RU-X had the right answer way earlier, but he cheated....)
(actually RU-X had the right answer way earlier, but he cheated....)
Last edited by psoper; Jan 26, 2006 at 12:08 AM.
hey! is it really cheating? i was just using the internet for it's 2nd purpose. and how do u know that proof isn't riped off the net? (i'm not say pbchief didn't do it, so don't shoot me =D) but that prof looks like.... http://math.ucsd.edu/~mathclub/games..._business.html
but yeah! keep them math problems coming =D
but yeah! keep them math problems coming =D
Last edited by RU-X; Jan 26, 2006 at 12:28 AM.
Thread Starter
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Back in my day we were required to "show our work" to get credit on math problems.
I know things have changed, but I don't think that "google inquiry how long is the banana" would get you credit even nowadays
I know things have changed, but I don't think that "google inquiry how long is the banana" would get you credit even nowadays
Originally Posted by RU-X
hey! is it really cheating? i was just using the internet for it's 2nd purpose.
is pr0n the first purpose?
http://www.albinoblacksheep.com/flash/internet4porn
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Originally Posted by ish
rope is equal on both sides, it doesn't matter what it weighs, it cancels itself out. the weight weighs the same as the monkey. the system is already in equilibrium.
Yours is just the lazy answer, and its based on a false assumption, so you're WRONG!
Thanks for playing
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Originally Posted by psoper
Only if you assume a frictionless fence rope interface, I did not see a pully being mentioned.
Yours is just the lazy answer, and its based on a false assumption, so you're WRONG!
Thanks for playing
Yours is just the lazy answer, and its based on a false assumption, so you're WRONG!
Thanks for playing
There is no false assumption, regardless of how much friction is there, with there being no banana the system will be balanced.
I will tell you why the proof you claim to be correct is wrong.
You are using an equation that relates the weights of the rope and the weight in comparrison to the monkey and the banana. You can't do that. It is saying that the weight of the rope is all on one side of the fence when we know the rope is equal length on both sides.
Also one of the equations used is wrong, it states, R=4/9 (12m). He puts the correct answer of 64 oz but the equation should read R=1/3 (m)*16(oz/lb) --> R=1/3 (12)*16
Regardless of that it is irrelevant since the weight of the rope doesn't matter.
the whole problem is false from the start. Unless you answer the banana being zero inches long.
Lets take your answer, 18oz + 11.5oz +(1/2 * 64oz) = 18oz + (1/2 * 64oz)
yeah, that doesn't work, the monkey will fall to the ground.
My answer, 18oz + 0oz + (1/2 * 64oz) = 18oz + (1/2 * 640z)
oh look they equal each other and the monkey hangs there freely to be strangled while eating his banana.
Thanks for playing
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Unless this rope is frictionless, nowhere does the problem state that the weight on both sides of the fence balances, one side can very easily be under more tension than the other, as long as that tension does not exceed the coefficient of friction between the rope and the fence- the rope doesn’t move.
Nothing in the problem statement defies physics, but your answer defies the problem statement- which explicitly says that the monkey is holding the banana- so to say there is no banana is not correct.
and the math is right, check your units....
Nothing in the problem statement defies physics, but your answer defies the problem statement- which explicitly says that the monkey is holding the banana- so to say there is no banana is not correct.
and the math is right, check your units....
Last edited by psoper; Jan 26, 2006 at 09:39 PM.


