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PROBLEM 5.92 (Continued)
45 12
PROBLEM 5.93
A prismatically shaped gate placed at the end of a freshwater channel is
supported by a pin and bracket at A and rests on a frictionless support at
B. Determine the distance h if the gate is to open when
0.75 m.d
PROBLEM 5.93 (Continued)
45 12
PROBLEM 5.94
A long trough is supported by a continuous hinge along
its lower edge and by a series of horizontal cables
attached to its upper edge. Determine the tension in
each of the cables, at a time when the trough is
completely full of water
.
PROBLEM 5.95
The square gate AB is held in the position shown by hinges along its top edge
A and by a shear pin at B. For a depth of water
3.5d
ft, determine the force
exerted on the gate by the shear pin.
PROBLEM 5.96
Consider the composite body shown. Determine (a) the
value of
x
when /2,hL
(b) the ratio h/L for which
.
x
L
PROBLEM 5.96 (Continued)
h
PROBLEM 5.97
Determine the location of the centroid of the composite body shown
when (a)
2,hb
(b)
2.5 .hb
PROBLEM 5.97 (Continued)
1(2.5 ) 1.8333
PROBLEM 5.98
The composite body shown is formed by removing a semiellipsoid
of revolution of semimajor axis h and semiminor axis a/2 from a
hemisphere of radius a. Determine (a) the y coordinate of the
centroid when h a/2, (b) the ratio h/a for which y 0.4a.
