Centroid by Multivariate Integration: Applications
Finding the centroid by multivariate Integration:
Example 1:
Use integration to find the centroid of the plane lamina occupying the region shown (uniform density).
Solution 1
View the solution of example 1
Example 2:
Use integration to find the centroid of the plane lamina occupying the region shown (uniform density).
Solution 2
View the solution of example 2
Example 3:
Find the x-component of the centroid of the plane lamina in the region
bounded by the curve y = x2 and the lines y=1 and x=0, and has mass
per unit area p(x,y)=x+y
Solution 3
View the solution of example 3
Example 4:
Use the composite region method to find the centroid of the blue shaded region in the figure:
Solution 4
View the solution of example 4
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