A tube of length $L$ is filled completely with an incompressible liquid of mass $M$ and closed at bo

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 vertical plane about one of its ends with a uniform angular velocity $\omega$. The force exerted by the liquid at the other end when the tube is in the lowermost position is\

Professor PC Thomas Classes · 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 $=M r \omega^{2}=M\left(\frac{L}{2}ight) \omega^{2}=\frac{M L \omega^{2}}{2}$\ This is for rotation in horizontal plane. For vertical circular motion you will have to add Mg