Find the centroid of the region in the first quadrant bounded by the x-axis, the paraby=2x, and the line x +y = 4.Find the moment of inertia about the x-axis of a thin plate bounded by the parabolay and the linex+y =0 if 8(x, y) = x + y.

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Find the centroid of the region in the first quadrant bounded by the x-axis, the y = 2x, and the line x + y = 4.

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 9.39P: For the region shown, Ixy=320103mm4 and Iuv=0. Compute the distance d between the y- and v-axes....

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Concept explainers

Center of Gravity and Centroid

The term center of gravity indicates the position or location of a point about which the whole weight of a body or system is supposed to be concentrated, which means the whole weight of the body or system works through this point. It is closely related to mass distribution. For all positions of the body, the center of gravity would be a single point.

Question

Find the centroid of the region in the first quadrant bounded by the x-axis, the parab
y=2x, and the line x +y = 4.
Find the moment of inertia about the x-axis of a thin plate bounded by the parabola
y and the linex+y =0 if 8(x, y) = x + y.

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