Center of MassHard

Question

A tube of length L is filled completely with an imcompressible liquid of mass M closed at both the ends. The tube is then rotated in a horizontal plane about one of its ends with a uniform angular velocity ω. The force exerted by the liquid at the other end is :-

Options

A.
B.
C.MLω2
D.

Solution


Consider a small mass element dm at distance x from axis
Required force
F = ∫dF = ∫ (dm) (ω2) (x)
F =

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