The centre of mass (x,y) of an object of constant density occupying a ff xdxdy, 1 region R in the (x, y) plane is given by the double integrals: x₁ = - R R Yo =ffydxdy. Sydxdy. Use these formulae to find the centre of mass of the object R R shown below, where R is the shaded region. h y R b

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter8: Further Techniques And Applications Of Integration
Section8.3: Volume And Average Value
Problem 20E
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1
Yo =-
lis
The centre of mass
(x, yo) of an object of constant density occupying a
1
region R in the (x, y) plane is given by the double integrals: x =-
- Sfxdxdy,
R R
Sydxdy. Use these formulae to find the centre of mass of the object
PO'
h
E
shown below, where R is the shaded region.
R
b
Transcribed Image Text:1 Yo =- lis The centre of mass (x, yo) of an object of constant density occupying a 1 region R in the (x, y) plane is given by the double integrals: x =- - Sfxdxdy, R R Sydxdy. Use these formulae to find the centre of mass of the object PO' h E shown below, where R is the shaded region. R b
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