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PROBLEM 5.134*
Locate the centroid of the section shown, which was cut from an
elliptical cylinder by an oblique plane.
PROBLEM 5.134* (Continued)
1()2 ()
b
hah
PROBLEM 5.134* (Continued)
Copyright © McGraw-Hill Education. Permission required for reproduction or display.
PROBLEM 5.135
Determine by direct integration the location of the centroid
of the volume between the xz plane and the portion shown
of the surface y 16h(ax x
2
)(bz z
2
)/a
2
b
2
.
PROBLEM 5.135 (Continued)
PROBLEM 5.136
After grading a lot, a builder places four stakes to
designate the corners of the slab for a house. To provide a
firm, level base for the slab, the builder places a minimum
of 3 in. of gravel beneath the slab. Determine the volume
of gravel needed and the x coordinate of the centroid of
the volume of the gravel. (Hint: The bottom surface of
the gravel is an oblique plane, which can be represented
by the equation y a bx cz.)
PROBLEM 5.136 (Continued)
11
PROBLEM 5.137
Locate the centroid of the plane area shown.
Copyright © McGraw-Hill Education. Permission required for reproduction or display.
PROBLEM 5.138
Locate the centroid of the plane area shown.
Copyright © McGraw-Hill Education. Permission required for reproduction or display.
PROBLEM 5.139
A uniform circular rod of weight 8 lb and radius 10 in. is attached to a pin at C
and to the cable AB. Determine (a) the tension in the cable, (b) the reaction at C.
