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.

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. (A) Angular momentum (B) Linear momentum (C) Kinetic energy (D) Angular speed

Tardigrade Admin · Accepted Answer

As Sigma τ=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.

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.

Angular momentum

Linear momentum

Kinetic energy

Angular speed

As $Σ τ = 0$ , 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.

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.

Angular momentum

Linear momentum

Kinetic energy

Angular speed

As Στ=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=Iω) conserved, angular speed (ω) should change.

As $Σ τ = 0$ , 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.