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The vessel shown in the figure has two s...

The vessel shown in the figure has two sections of area of cross - section `A_(1) and A_(2)` .A liquid of density `rho` fills both the section upto a height h in each . Consider atmospheric pressure `P_(0)` also . Find
(a) the pressure at the base of vessel .
(b) the force exerted by the liquid on the base of the vessel .
(c ) the downward force exerted by the walls of the vessel at the level B

Text Solution

Verified by Experts

`P_("Bass") = P_(0)+rhog2h`
(b) Force applied by the liquid on the base ` = (P_(0)+2 rho gh )A_(2)`
(c )Downward force by the walls of the vessel at level `B(N_(b))` = Pressure at `B xx Area ` at the level B . = `(P_(0)+rhogh) (A_(2)-A_(1))`
Alternatively `P_(0)A_(1)+N_(B)+(A_(1)h+A_(2)h)rhog = (P_(0)+2rhogh)A_(2)`
`N_(B) = P_(0)A_(2) +2rhoghA_(2) - P_(0)A_(t) - A_(1)h_(1)rhog - A_(2) hrhog`
` = (P_(0)+h rho g) (A_(2) - A_(1))`
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