Question

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

Answer 1

:)

Answer 2

lol this is the last question :D

Answer 3

I got stuck chatting with someone lol

Answer 4

as usual

Answer 5

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

Answer 6

the center of mass is in the middle right?

Answer 7

i am being simple
but

Answer 8

umm it depends

Answer 9

I have the formula turing

Answer 10

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

Answer 11

lol what formula?

Answer 12

cuz i have another one

Answer 13

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

Answer 14

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

Answer 15

umm u know what forget it then Thanks :D

Answer 16

ok, sorry
good luck!

Answer 17

Sorry I gave u the wrong formula :(

Answer 18

do you want a moment in mass formula?

Answer 19

icenter of mass using the moment

Answer 20

that was the one i typed out but deleted

Answer 21

well ya

Answer 22

lemme type again

Answer 23

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

Answer 24

What is that?

Answer 25

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.

Answer 26

Thanx

Answer 27

its book

Answer 28

ohh never heard of it

Answer 29

your question is physics question not math

Answer 30

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

Answer 31

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

Answer 32

lol i guess so hehehe

Answer 33

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

Answer 34

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

Answer 35

lol fight it out

Answer 36

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

Answer 37

Thannks u r so nice :D

Answer 38

Werer u working on it the whole time?

Answer 39

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

Answer 40

lol Thanks that was very nice :D