Answer :

(a)Given: Length, ; Breadth, ; Height, .

The pressure at the bottom of tank, —————(1)


Where is the density of water and g is the acceleration due to gravity,


—————(2)


Area of the bottom of the tank,


Therefore, Force, (ANS) —————(3)



(b) Here we first find the pressure at a depth of “x m” from the top.


We know, pressure,


The area of the strip is,


Therefore, the force on the strip is, ————(4)



(c) To find the torque, we need to find the perpendicular distance(d) of the strip from the bottom edge.



We know, Torque, —————(5)


(d) To find the total force, we integrate the force in (b) for the entire height.


—————(6)


(e) The torque on the side can be found by integrating (5).



(ANS)


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