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Rotational Motion question

2006 · Q151
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Rotational Motion question

2006 · Q151

NEETPhysicsRotational MotionMCQ+4 / −1
A tube of length L is filled completely with an incompressible liquid of mass M and 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\omegaω. The force exerted by the liquid at the other end is
  1. A
    ML2ω22{{M{L^2}{\omega ^2}} \over 2}2ML2ω2​
  2. B
    MLω22{{ML{\omega ^2}} \over 2}2MLω2​
  3. C
    ML2ω2{{M{L^2}\omega } \over 2}2ML2ω​
  4. D
    MLω2ML{\omega ^2}MLω2
View written solutionFree

Correct answer: B

The centre of the tube will be at length L/2. So radius r = L/2.

The force exerted by the liquid at the other end = centrifugal force

Centrifugal force
= Mrω2=M(L2)ω2=MLω22Mr{\omega ^2} = M\left( {{L \over 2}} \right){\omega ^2} = {{ML{\omega ^2}} \over 2}Mrω2=M(2L​)ω2=2MLω2​

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