PEARSON ETEXT ENGINEERING MECH & STATS
15th Edition
ISBN: 9780137514724
Author: HIBBELER
Publisher: PEARSON
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2. Locate the centroid of the area bounded by the axis & the sine curve y= asin rx/L from 0 to L.
v= asin rx/L
y
FiL
4. Locate the centroid of the plane area/line. Express answer
in terms of a and b.
45°
45°
If the shaded area is revolved 360° about the y-axis, determine the y-coordinate of the centroid of the resulting volume.
h
3
2h
3
62
Answer: y =
b
| Parabolic
h
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- Determine the centroidal z-coordinate of the curved surface of the half cone by integration.arrow_forwardThe sheet metal trough has a uniform wall thickness. Determine the coordinates of its center of gravity.arrow_forwardUse integration to find the centroidal coordinates for the volume obtained by revolving the area shown about the x-axis.arrow_forward
- Please put the full solutionarrow_forwardIf the shaded area is revolved 360° about the y-axis, determine the y-coordinate of the centroid of the resulting volume. 3h 2 Parabolicarrow_forwardFind the area between the curve y=x^2 and the line 2x+y=8. Determine also the x and y component of the centroid of the area.arrow_forward
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