Concept explainers
x and y centroidal coordinates
Answer to Problem 8.48P
The centroidal coordinate
Explanation of Solution
Given information:
We use double integration method to find the x and y centroidal coordinates of a volume.
Calculation:
The differential volume
Assume the centroidal coordinates
The volume
The first moment
The centroidal x coordinate
Similarly, the centroidal y coordinate
Conclusion:
The centroidal coordinate
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Chapter 8 Solutions
International Edition---engineering Mechanics: Statics, 4th Edition
- Use integration to find the centroidal coordinates for the volume obtained by revolving the area shown about the x-axis.arrow_forwardDetermine the centroidal z-coordinate of the curved surface of the half cone by integration.arrow_forwardUse numerical integration to locate the centroid of the symmetric planearrow_forward
- Locate the centroid of the volume generated by revolving the area shown about the line AB. Use numerical integration.arrow_forwardUsing the method of composite areas, find the dimension h that maximizes the centroid coordinate y of the plane region shown.arrow_forwardUse numerical integration to find the centroid of the volume generated by revolving the area shown about the x-axis.arrow_forward
- International Edition---engineering Mechanics: St...Mechanical EngineeringISBN:9781305501607Author:Andrew Pytel And Jaan KiusalaasPublisher:CENGAGE L