First slide

Rotational motion

Question

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.

Easy

A

Angular momentum
B

Linear momentum
C

Kinetic energy
D

Angular speed

Solution

As $\sum τ_{e x t} = 0,$ angular momentum and linear momentum remain conserved. As the two balls will move radially out, I changes. In order to keep the angular momentum $(L = I ω)$ conserved, angular speed ( $ω$ ) should change.

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