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PROBLEM 5.128*
Locate the centroid of the volume generated by revolving the
portion of the sine curve shown about the x-axis.
PROBLEM 5.128* (Continued)
PROBLEM 5.129*
Locate the centroid of the volume generated by revolving the
portion of the sine curve shown about the y-axis. (Hint: Use a thin
cylindrical shell of radius r and thickness dr as the element of
volume.)
PROBLEM 5.129* (Continued)
PROBLEM 5.130*
Show that for a regular pyramid of height h and n sides
(3,4,)n
the centroid of the volume of the
pyramid is located at a distance h/4 above the base.
PROBLEM 5.131
Determine by direct integration the location of the centroid of one-half of
a thin, uniform hemispherical shell of radius R.
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PROBLEM 5.132
The sides and the base of a punch bowl are of
uniform thickness t. If
tR
and R 250 mm,
determine the location of the center of gravity of
(a) the bowl, (b) the punch.
PROBLEM 5.132 (Continued)
PROBLEM 5.133
Locate the centroid of the section shown, which was cut from a thin circular
pipe by two oblique planes.
PROBLEM 5.133 (Continued)
aht
