Find the center of mass of a cone of height 5cm and base diameter 10 cm with a constant density lambda gm/cm^3

- anonymous

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- anonymous

:)

- anonymous

lol this is the last question :D

- anonymous

I got stuck chatting with someone lol

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## More answers

- anonymous

as usual

- TuringTest

I always forget how to do these, let me browse my notes...

- anonymous

the center of mass is in the middle right?

- anonymous

i am being simple
but

- anonymous

umm it depends

- anonymous

I have the formula turing

- anonymous

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- TuringTest

I think I can solve it, but I use a slightly different formula so I'm not sure you want me to bother...

- anonymous

lol what formula?

- anonymous

cuz i have another one

- TuringTest

It's similar but has two pieces to it...
http://tutorial.math.lamar.edu/Classes/CalcII/CenterOfMass.aspx

- TuringTest

You probably don't need my formula here because your object is symmetric, but I can't figure out how to use yours exactly

- anonymous

umm u know what forget it then Thanks :D

- TuringTest

ok, sorry
good luck!

- anonymous

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- anonymous

Sorry I gave u the wrong formula :(

- anonymous

do you want a moment in mass formula?

- anonymous

icenter of mass using the moment

- anonymous

that was the one i typed out but deleted

- anonymous

well ya

- anonymous

lemme type again

- anonymous

you see solution in Classical mechanics by "ATAM P.ARYA"in pages443

- anonymous

What is that?

- Xishem

Try considering the cone as a stack of discs.
Then find the height of the disc where the volume above the height is the same as below.
Hint: You need to use integration.

- anonymous

Thanx

- anonymous

its book

- anonymous

ohh never heard of it

- anonymous

your question is physics question not math

- anonymous

lol it is in my calc book in the section of geometry

- anonymous

realy!!!!!! its in my mech book so mth &physics are brother

- anonymous

lol i guess so hehehe

- Xishem

hosein: Given that the density is constant throughout the object, it's really just a math problem.

- anonymous

no physics problem see that, book in that book density is also cte

- anonymous

lol fight it out

- dumbcow

http://math.feld.cvut.cz/mt/txtd/5/txe3dc5i.htm
this should help you.
in this case r = h = 5
center of mass at 5/4 or 1.25 cm above base

- anonymous

Thannks u r so nice :D

- anonymous

Werer u working on it the whole time?

- dumbcow

haha no i was distracted...but i was trying to find a good explanation for it

- anonymous

lol Thanks that was very nice :D

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