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pallavi pradeep bhardwaj Grade: 12
        

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

7 years ago

Answers : (1)

Badiuddin askIITians.ismu Expert
147 Points
										

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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Badiuddin

7 years ago
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