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23 replies to this topic

#1 emeraldcity

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Posted 29 February 2008 - 04:12 AM

I am new to the site, so I hope I am posting correctly. Let me say that I don't have the solution to what I am posting. It is something my dad presented to me as a child and I have never been able to find anyone able to give me a mathematical solution to the problem. I am hoping to get it here. It goes like this....

Imagine a building that is 10 foot x 10 foot x 10 foot on level ground. Running along side of the building is a 100 foot flag pole. The flag pole breaks at such a point that it just touches the opposite corner and the top of the flag pole lands touching the ground. At what point did the flag pole break?
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#2 Duh Puck

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Posted 29 February 2008 - 09:12 AM

I am new to the site, so I hope I am posting correctly. Let me say that I don't have the solution to what I am posting. It is something my dad presented to me as a child and I have never been able to find anyone able to give me a mathematical solution to the problem. I am hoping to get it here. It goes like this....

Imagine a building that is 10 foot x 10 foot x 10 foot on level ground. Running along side of the building is a 100 foot flag pole. The flag pole breaks at such a point that it just touches the opposite corner and the top of the flag pole lands touching the ground. At what point did the flag pole break?

This is definitely the place to post questions like that. :-)

However, I have a few questions:

When the flag pole breaks, does the upper part stay attached to the lower part, like a hinge? When you say "running along the side of the building," do you mean it's positioned right at one of the corners, with no space between the building and the flag pole? This would seem to fit with your statement that it "just touches the opposite corner."
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#3 storm

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Posted 29 February 2008 - 09:32 AM

can you be a little bit clear?
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#4 Arie-

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Posted 29 February 2008 - 10:03 AM

like this?
Posted Image

in which: flagpole = 100 = A+C
each of the lines of the cube = 10
and the position of the breakpoint, the corner between a and c is unknown?

in which you get the situation:

a square triangle with a square inside
a^2 + b^2 = c^2

a = (10^2 + 10^2)^0.5 + x
a = 200^0.5 + x

b = 10 + y

a + c = 100

(an prolly some more stuff, but first i want to know if i got the situation right ;))

Edited by Arie-, 29 February 2008 - 10:11 AM.

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#5 roolstar

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Posted 29 February 2008 - 11:24 AM

like this?

in which: flagpole = 100 = A+C
each of the lines of the cube = 10
and the position of the breakpoint, the corner between a and c is unknown?

in which you get the situation:

a square triangle with a square inside
a^2 + b^2 = c^2 (1)

a = (10^2 + 10^2)^0.5 + x (2)
a = 200^0.5 + x

b = 10 + y

a + c = 100

(an prolly some more stuff, but first i want to know if i got the situation right ;))


Well it is more like a square triangle with a RECTANGLE inside (ABCD)...

Broken_Pole.png

The below picture has notations based on your equations Arie-: Are these the right places for (a), (b), (c ), (x) & (y)?

Edited by roolstar, 29 February 2008 - 11:32 AM.

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#6 roolstar

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Posted 29 February 2008 - 11:40 AM

Man I hate this 10 min limit on editing our posts!!

Anyhow, the (x) & (y) in the above figure should be switched! (to follow Arie- equations)

Broken_Pole.png
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#7 rookie1ja

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Posted 29 February 2008 - 11:48 AM

Man I hate this 10 min limit on editing our posts!!

a few more hundreds of high quality posts and you might become VIP with no restrictions on time limit for edits :D
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#8 emeraldcity

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Posted 29 February 2008 - 01:19 PM

This is definitely the place to post questions like that. :-)

However, I have a few questions:

When the flag pole breaks, does the upper part stay attached to the lower part, like a hinge? When you say "running along the side of the building," do you mean it's positioned right at one of the corners, with no space between the building and the flag pole? This would seem to fit with your statement that it "just touches the opposite corner."



It is exactly as you have described. It stays attached and there is no space between the building and flag pole.
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#9 emeraldcity

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Posted 29 February 2008 - 01:21 PM

like this?
Posted Image

in which: flagpole = 100 = A+C
each of the lines of the cube = 10
and the position of the breakpoint, the corner between a and c is unknown?

in which you get the situation:

a square triangle with a square inside
a^2 + b^2 = c^2

a = (10^2 + 10^2)^0.5 + x
a = 200^0.5 + x

b = 10 + y

a + c = 100

(an prolly some more stuff, but first i want to know if i got the situation right ;))


You have the situation exactly right.
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#10 Arie-

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Posted 29 February 2008 - 01:59 PM

...RECTANGLE ...

...

You are right, my bad, a rectangle I should have said, not square.

edit: (nice drawing btw, i did mine in paint :P)

Edited by Arie-, 29 February 2008 - 02:00 PM.

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