Curse

invsblmn · May 07, 2008, 06:28 AM // 06:28

Suppose that a wine glass (assumed to be weightless) is defined in R^3 by the equations z = 5 and z = x^2 + y^2 + 1. Suppose an olive (a unit sphere with density 2) is dropped into the glass and comes to rest at the bottom. Wine (density 1) is poured into the glass, covering the olive, until it has filled the glass completely. Calculate the center of mass of the wine and the olive.

Obviously the center of mass in the x- and y-axes are zero (by symmetry), so we only need to find z.

**cosyfiep** · May 07, 2008, 08:23 AM // 08:23

there is a homework hot line....try that you might get the right answer.

ilipol · May 07, 2008, 08:44 AM // 08:44

The the center of mass of the wine and the olive is somewhere in my stomach.

wu is me · May 07, 2008, 08:57 AM // 08:57

wtf dude are u even sure thats a wine glass? i would think if z=5(the question, if indeed was to find z, woudl be irrelevent, but anyways..), then it would just be a circle perpendicular to the z plane? ie a 2 dimensional circle? =P

If the wine glass was spherical... then it would be more like z^2+x^2+y^2=1 and assuming z is up, then z
i could be wrong however =P, been a while... ahh memories ><

invsblmn · May 07, 2008, 11:21 AM // 11:21

z = x^2 + y^2 + 1 is a paraboloid (a 3-D parabola).

dunky_g · May 07, 2008, 01:02 PM // 13:02

43. i heard.

Richardt · May 07, 2008, 05:16 PM // 17:16

Don't you have like study buddies that can help with sort of thing?

invsblmn · May 07, 2008, 07:34 PM // 19:34

I'm disappointed in you all. The folks at the WoW forum solved it in less than three hours. The correct answer is 13.37.

**cosyfiep** · May 07, 2008, 07:35 PM // 19:35

you dont get it do you?????

Nightmares Hammer · May 07, 2008, 07:37 PM // 19:37

Quote:

Originally Posted by invsblmn

I'm disappointed in you all. The folks at the WoW forum solved it in less than three hours. The correct answer is 13.37.

Obvious troll is obvious.

Richardt · May 07, 2008, 07:47 PM // 19:47

Quote:

Originally Posted by invsblmn

I'm disappointed in you all. The folks at the WoW forum solved it in less than three hours. The correct answer is 13.37.

Fine. If you think you're so smart answer me this:

Consider a flat graphene surface comprised of 7 fused benzene rings (aka coronene). Now add some curvature and allow it to interact with a single water molecule. Now is the difference in dispersion energy based on how much curvature you add or is it related to some of the carbons being further away from the water? And if it is a function of curvature, what's the functional form needed to model that in a molecular dynamics simulation?

Vector calculus can kiss my ass.

Dante the Warlord · May 07, 2008, 07:53 PM // 19:53

Quote:

Originally Posted by invsblmn

I'm disappointed in you all. The folks at the WoW forum solved it in less than three hours. The correct answer is 13.37.

There are also oh...15 million people in WoW? Whereas we have 500,000 people in GW and probably on 1,000 members in guru who are active. And maybe 10 who check his particular forum at once also possibly 5 who are over 15 and to top it off 2 who can actually solve the problem. And in the end, i don't think anyone qualified would WANT to solve the problem... I know I wouldn't, well actually i probably can't im only in Calc BC...

Turbobusa · May 07, 2008, 08:10 PM // 20:10

Quote:

Originally Posted by dunky_g

43. i heard.

42!

Ho and you can be disapointed, I didn't learn that at all and have no idea what it is about.

Celestial_Kitsune · May 07, 2008, 08:11 PM // 20:11

Quote:

Originally Posted by invsblmn

I'm disappointed in you all. The folks at the WoW forum solved it in less than three hours. The correct answer is 13.37.

*Kogarashi laugh: kukuku* Kisama, the center of mass is a point in space with respective coordinates, not just some leet number!

Kanyatta · May 07, 2008, 11:06 PM // 23:06

I lol'd at the 13.37. The disguised leet always gets a good lol.

Owoc · May 08, 2008, 05:12 PM // 17:12

Quote:

Originally Posted by invsblmn

z = 5 and z = x^2 + y^2 + 1

If z=5 this doesn't make much sense.

If z<=5, there's no way for the center of mass to be at (0;0;13.37).

This must be Sparta.

Taisayacho · May 08, 2008, 05:23 PM // 17:23

The answer is 17.254.
My brain hurts

(I don't actually know the answer and I'm kind of glad)

awesome sauce · May 08, 2008, 09:43 PM // 21:43

Well, considering I just completely failed the AP test, I better not try this one.