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2006 Fall MATH 100 Lecture 81 MATH 100 Lecture 18 Triple Integral, II; centroid Class Triple integral, centroids Integration in other orders.

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Presentation on theme: "2006 Fall MATH 100 Lecture 81 MATH 100 Lecture 18 Triple Integral, II; centroid Class Triple integral, centroids Integration in other orders."— Presentation transcript:

1 2006 Fall MATH 100 Lecture 81 MATH 100 Lecture 18 Triple Integral, II; centroid Class Triple integral, centroids Integration in other orders

2 2006 Fall MATH 100 Lecture 82 MATH 100 Lecture 18 Triple Integral, II; centroid

3 2006 Fall MATH 100 Lecture 83 MATH 100 Lecture 18 Triple Integral, II; centroid Center of gravity of a solid: Solid G homogeneous (composition & structure uniform) Solid G inhomogeneous

4 2006 Fall MATH 100 Lecture 84 MATH 100 Lecture 18 Triple Integral, II; centroid

5 2006 Fall MATH 100 Lecture 85 MATH 100 Lecture 18 Triple Integral, II; centroid Explanation of center of gravity: Consider a point-mass in located at x, then the tendency for the mass to produce a rotation about a point a on the axis is measured by the following quantity: moment of m

6 2006 Fall MATH 100 Lecture 86 MATH 100 Lecture 18 Triple Integral, II; centroid

7 2006 Fall MATH 100 Lecture 87 MATH 100 Lecture 18 Triple Integral, II; centroid

8 2006 Fall MATH 100 Lecture 88 MATH 100 Lecture 18 Triple Integral, II; centroid

9 2006 Fall MATH 100 Lecture 89 MATH 100 Lecture 18 Triple Integral, II; centroid

10 2006 Fall MATH 100 Lecture 810 MATH 100 Lecture 18 Triple Integral, II; centroid

11 2006 Fall MATH 100 Lecture 811 MATH 100 Lecture 18 Triple Integral, II; centroid

12 2006 Fall MATH 100 Lecture 812 MATH 100 Lecture 18 Triple Integral, II; centroid

13 2006 Fall MATH 100 Lecture 813 MATH 100 Lecture 18 Triple Integral, II; centroid

14 2006 Fall MATH 100 Lecture 814 MATH 100 Lecture 18 Triple Integral, II; centroid


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