Objective: Finding moments about x and y axis
Let's find the moments with respect to x and y of a region R with density function ⍴(x,y). We divide the region in small rectangles for which the density is constant. We add the moments of each of these rectangles and take the limit of the sum as as the rectangles approach zero.
If we name Rᵢⱼ the small rectangle, the moment with respect to the x-axis is:
Similarly, the moment with respect to the y-axis is defined by:
Example
We use the same example in a previous blog post
Solution
Practice
No comments:
Post a Comment