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PROBLEM 5.27
A thin, homogeneous wire is bent to form the perimeter of the
figure indicated. Locate the center of gravity of the wire figure
thus formed.
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PROBLEM 5.28
The homogeneous wire ABC is bent into a semicircular arc and a straight
section as shown and is attached to a hinge at A. Determine the value of
for
which the wire is in equilibrium for the indicated position.
Copyright © McGraw-Hill Education. Permission required for reproduction or display.
PROBLEM 5.29
The frame for a sign is fabricated from thin, flat steel bar stock of mass
per unit length 4.73 kg/m. The frame is supported by a pin at C and by a
cable AB. Determine (a) the tension in the cable, (b) the reaction at C.
Copyright © McGraw-Hill Education. Permission required for reproduction or display.
PROBLEM 5.29 (Continued)
Equilibrium then requires
3
PROBLEM 5.30
The homogeneous wire ABCD is bent as shown and is attached to
a hinge at C.
Determine the length L for which portion BCD of the
wire is horizontal.
PROBLEM 5.31
The homogeneous wire ABCD is bent as shown and is attached to
a hinge at C. Determine the length L for which portion AB of the
wire is horizontal.
Copyright © McGraw-Hill Education. Permission required for reproduction or display.
PROBLEM 5.32
Determine the distance h for which the centroid of the shaded
area is as far above line BB′ as possible when (a) k 0.10,
(b) k 0.80.
PROBLEM 5.33
Knowing that the distance h has been selected to maximize
the distance
y
from line BB′ to the centroid of the shaded
area, show that 2/3.yh
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PROBLEM 5.34
Determine by direct integration the centroid of the area shown. Express
your answer in terms of a and h.
