Rotational MotionHard

Question

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

Options

A.
B.M ω2L
C.
D.

Solution

       
Mass of element dx is m = dx
This element needs centripetal force for rotation
∴       dF = mxω2 =
∴     F = =
This the force exerted by the liquid at the other end.

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