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1
?
Q
<
Circular
Segment
Of radius
R
?
Water
Water is retained against a sluice gate in the
form of a circular segment as shown in the
figure. If p and g are the density of water and
gravitational acceleration respectively, the
upward force exerted by the gate on the water
per unit depth perpendicular to the plane of
the figure is
A. pR²(0 – sin 20g
B. PR2 (cos2 0 -sin )g
C. PR2 (cos e - sine)
– ?
D. PR? (cos? 8 – sin’e)
e
g
[GATE-2015-XE]
2
?
2
1
2


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