3. Consider the shaded area shown. a) Determine the y-coordinate of the centroid of the shaded area, i.e., detemine ỹ. b) Determine the moment of inertia and radius of gyration of the shaded area with respect to the x-axis shown. 8" 3" 16"

3. Consider the shaded area shown. a) Determine the y-coordinate of the centroid of the shaded area, i.e., detemine ỹ. b) Determine the moment of inertia and radius of gyration of the shaded area with respect to the x-axis shown. 8" 3" 16"

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 9.4P: The moment of inertia of the plane region about the x-axis and the centroidal x-axis are Ix=0.35ft4...

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Concept explainers

Free Body Diagram

The system of forces acting on a body tends to either rotate it or make the body undergo motion. In general, when an external agent exerts a force on a body, the body undergoes translational motion and rotational motion. The body has six degrees of freedom under the influence of that force. Here, three degrees of freedom are from the translational motion while the other three are from the rotation motion. However, sometimes the bodies are not allowed to undergo any motion and are fixed, under such conditions the body is said to be constrained.

Question

Please Show clear work and free body diagram if possible, thank you!

3. Consider the shaded area shown.
a) Determine the y-coordinate of the centroid of the shaded area, i.e., detemine y.
b) Determine the moment of inertia and radius of gyration of the shaded area with respect
to the x-axis shown.
y
8"
3"
16"
8"

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