Thursday

August 21, 2014

August 21, 2014

Posted by **calculs3** on Thursday, May 31, 2012 at 6:55pm.

- calculus -
**Damon**, Thursday, May 31, 2012 at 7:32pmIf we are dealing with real numbers x must be >/=0 becaue y^2 may not be negative

find vertical cg

y = 2 sqrt |x|

integrate from (0,0) to (4,4)

y of cg

= int dy y (4-x) (ky) / int dy(4-x) (ky)

numerator (the moment)

4 k y^2 dy - k dy y^2 (y^2/4)

4 k y^3/3 - k y^5/20

at y = 4

85.33 k - 51.2 k = 34.1 k

denominator (the mass)

dy(4-x) (ky) = 4k y dy - k y (y^2/4)dy

= 2 k y^2 - k y^4/16

at y = 4

32 k - 16 k = 16 k

so

34.1 k / 16 k = 2.13

You can do the stripes the other way for the Xcg

**Related Questions**

Calculus - find the region enclosed by the given curves: 4x+y^2=9, x=2y

Calculus - Find the area of the region enclosed by the given curves: 4x+y^2=9, x...

Calculus - Find the area of the region enclosed by the given curves: y=e^6x, y=...

calculus - Find the total area enclosed by the functions given below. y=x^2+2x+1...

7th grade - Given a cube of density 8900kg/m3 and length side 10cm A-what is the...

physics - a 600N person picks up a 180 N suitcase positioned so that the ...

PHYICS - A person is standing on a level floor. His head, upper torso, arms, and...

phyics - A person is standing on a level floor. His head, upper torso, arms, and...

physics - Careful measurements of local variations in the acceleration due to ...

calculus - find the area enclosed by the given curves. y=squareroot of x y=x/2 ...