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.
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
Publisher:Andrew Pytel And Jaan Kiusalaas
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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