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 πœ”. The force exerted by the liquid at the other end is

Question : 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 πœ”. The force exerted by the liquid at the other end is

(A) \dfrac{ML\omega ^{2}}{2}

(B) MLw^{2}

(C) \dfrac{ML\omega ^{2}}{2}

(D) ML^{2}w^{2}

Answer : option ()

Solution :

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 πœ”. The force exerted by the liquid at the other end is
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