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  4. A smooth tube of certain mass is rotated in a gravity-free space and released. The two balls shown in the figure move towards the ends of the tube. For the whole system, which of the following quantities is not conserved.

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Q. A smooth tube of certain mass is rotated in a gravity-free space and released. The two balls shown in the figure move towards the ends of the tube. For the whole system, which of the following quantities is not conserved.Physics Question Image

System of Particles and Rotational Motion

Solution:

As $\Sigma \tau=0$, angular momentum and linear momentum remain conserved. As the two balls will move radially out, $I$ changes. In order to keep the angular momentum $(L=I \omega)$ conserved, angular speed $(\omega)$ should change.