A tube of length L is filled compeletly with an incompressible liquid of mass M and closed at the both ends the tube is then rotated in horizontal plane about one of its end with a uniform angular velocity W The force exerted by the liquid at the other end is

Dear pallavi

consider a small length dx at adistance x on the rod from the axis of rotation

mass of liquid in dx legth = dm = M/L dx

centrifugal force is acting  on dm mass

 dF = dm x ω²

 F = ∫df  =∫dm x ω²

             =M/L ω²∫x dx        limit 0 to L

             =MLω²/2

this force is balance by normal reaction on fluid by other end

N =   MLω²/2

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