the céntroid C(x,y) of the shaded area. C(x.Y) 2). Determine the moment of inertia of the shaded area about the x-axis and y-axis. 3). Find the radius of gyration about the area, k, and ky y 2.5-0.1x2 2.5 ft 2 ft ft

the céntroid C(x,y) of the shaded area. C(x.Y) 2). Determine the moment of inertia of the shaded area about the x-axis and y-axis. 3). Find the radius of gyration about the area, k, and ky y 2.5-0.1x2 2.5 ft 2 ft ft

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter8: Centroids And Distributed Loads

Section: Chapter Questions

Problem 8.132RP: Find the centroid of the truncated parabolic complement by integration.

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Concept explainers

Moment of Inertia

Inertia can be termed as a resistance offered by a body to change its state. A rigid body initially at rest will apply resistance when acted by an external force that tends to change its state of rest or velocity, or a body initially at motion will provide resistance in changing its state of velocity or motion for coming to a state of rest. In other words, Newton's first law of motion describes the law of inertia of a rigid body.

Question

1). Locate the centroid C (x, y) of the shaded area.
2). Determine the moment of inertia of the shaded area
about the x-axis and y-axis.
3). Find the radius of gyration about the area, k, and ky
-y%3D2.5-0.1x2
2.5 ft
2 ft
5 ft

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