Some area, A, is bounded by the functions: y = 1, x = 0 and y = 10 - x2 a) On a sketch of the functions, show a vertical differential element and write the equation for dA as a function of x. b) On another sketch of the functions, show a horizontal differential element and write the equation for dA as a function of y. c) Set up the integrals with the limits to solve for the x centroid, y centroid, Ix and Iy.

International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
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Chapter9: Moments And Products Of Inertia Of Areas
Section: Chapter Questions
Problem 9.43P
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Some area, A, is bounded by the functions: y = 1, x = 0 and y = 10 - x2

a) On a sketch of the functions, show a vertical differential element and write the equation for dA as a function of x.

b) On another sketch of the functions, show a horizontal differential element and write the equation for dA as a function of y.

c) Set up the integrals with the limits to solve for the x centroid, y centroid, Ix and Iy. 

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