Momentum and CollisionHard
Question
A closed cylinder of length ′l′ containing a liquid of variable density ρ(x) = ρ0 (1 + αx). Find the net force exerted by the liquid on the axis of rotation. (Take the cylinder to be mass less and A = cross sectional area of cylinder)
Options
A.
B.
C.
D.
Solution
dm = ρAdx; dF = (dm)ω2 x ⇒ F =
xρAdx = ω2ρ0A
x dx = ρ0Aω2l2 
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