Answered: How do I find the centroid of x + y =…

How do I find the centroid of x + y = 1, coordinate axes? Mx = integral(b,a)1/2(y2) dx My = integral(b,a) (xy) dx A = integral(b,a) y dx x = My / A y = Mx / A

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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How do I find the centroid of x + y = 1, coordinate axes?

M_x= integral(b,a)1/2(y²) dx

M_y= integral(b,a) (xy) dx

A = integral(b,a) y dx

x = M_y/ A

y = M_x/ A

With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.

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