Center of Mass for a Planar Region in Cartesian Coordinates - Maple Programming Help

Online Help

All Products    Maple    MapleSim


Home : Support : Online Help : Tasks : Calculus - Multivariate : Integration : Center of Mass : Task/CenterOfMassPlanarCartesian

Center of Mass for a Planar Region in Cartesian Coordinates

Description

 

Determine x&conjugate0; and y&conjugate0;, the center of mass coordinates for a planar region in Cartesian Coordinates.

 

Center of Mass for Planar Region in Cartesian Coordinates

Density:

1

1

(1)

Region: uxyvx,axb

ux

x2

x2

(2)

vx

x

x

(3)

a

0

0

(4)

b

1

1

(5)

Moments÷Mass:

Inert Integral - dy dx

StudentMultivariateCalculusCenterOfMass, x=..,y=..,output=integral

∫01∫x2xxⅆyⅆx∫01∫x2x1ⅆyⅆx,∫01∫x2xyⅆyⅆx∫01∫x2x1ⅆyⅆx

(6)

Explicit values for x&conjugate0; and y&conjugate0;

StudentMultivariateCalculusCenterOfMass,x=..,y=..

12,25

(7)

Plot:

StudentMultivariateCalculusCenterOfMass,x=..,y=..,output=plot,caption=

Commands Used

Student[MultivariateCalculus][CenterOfMass]

Related Task Templates

Multivariate Calculus > Multiple Integration > Cartesian 2-D

See Also

Student[MultivariateCalculus], Student[MultivariateCalculus][MultiInt]


Download Help Document

Was this information helpful?



Please add your Comment (Optional)
E-mail Address (Optional)
What is ? This question helps us to combat spam