Question

Angular Momentum Conservation: Changing Moment of Inertia: 15. Recall the problem of the child sitting at the rim of a merry-go-round (MGR, modelled as a uniform disk) as discussed in the last lecture. A diagrammatic representation of the setup is shown in Fig. 11, where the angular velocity of the wheel is computed after the child moves to the center of the MGR. Now consider the following setup: There are two children on the MGR which has a mass 10m and a radius R. Initially, the first child C? (who has a mass 3m stands at the rim and the second child C? (who has a mass 5m) stands at the center, while the wheel rotates with constant angular speed $\omega$. Both children start moving, C? towards the center and C? toward the rim. When C? reaches the center, how far from the center (say r) does C? have to be for the wheel to still be rotating at $\omega$?

          Angular Momentum Conservation: Changing Moment of Inertia: 15.
Recall the problem of the child sitting at the rim of a merry-go-round (MGR,
modelled as a uniform disk) as discussed in the last lecture. A diagrammatic
representation of the setup is shown in Fig. 11, where the angular velocity of the
wheel is computed after the child moves to the center of the MGR. Now consider
the following setup: There are two children on the MGR which has a mass 10m
and a radius R. Initially, the first child C? (who has a mass 3m stands at the
rim and the second child C? (who has a mass 5m) stands at the center, while the
wheel rotates with constant angular speed $\omega$. Both children start moving, C?
towards the center and C? toward the rim. When C? reaches the center, how far
from the center (say r) does C? have to be for the wheel to still be rotating at $\omega$?

Angular Momentum Conservation: Changing Moment of Inertia: 15.
Recall the problem of the child sitting at the rim of a merry-go-round (MGR,
modelled as a uniform disk) as discussed in the last lecture. A diagrammatic
representation of the setup is shown in Fig. 11, where the angular velocity of the
wheel is computed after the child moves to the center of the MGR. Now consider
the following setup: There are two children on the MGR which has a mass 10m
and a radius R. Initially, the first child C? (who has a mass 3m stands at the
rim and the second child C? (who has a mass 5m) stands at the center, while the
wheel rotates with constant angular speed ω. Both children start moving, C?
towards the center and C? toward the rim. When C? reaches the center, how far
from the center (say r) does C? have to be for the wheel to still be rotating at ω?

Added by Belen E.

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