Suspended Ring - Masses Released - Find Condition for Ring to Move Up

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For the suspended ring problem, the key condition for the ring to move upward is the interaction of forces when the masses reach the bottom of the ring. As the two equal masses slide down and collide elastically at the bottom, they exert a downward normal reaction on the ring, which in turn exerts an upward force on the masses. This upward force on the masses, combined with their momentum after the collision, creates a net upward force on the ring. Understanding the dynamics of these forces is crucial to determining the conditions under which the ring will ascend. The interplay of these forces is essential for solving the problem effectively.
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I'm having trouble with this problem...

A ring (mass = M) is suspended by an ideal cord from the ceiling, two equal masses (mass = m) are released from the top of the ring and slide down, one on either side of the ring, without friction. The question is:
What condition must the masses meet in order for the ring to move up?

I'm having trouble imagining it, I can't see which force could make the ring go up.

I'd apreciate any help.
 
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Ring and masses

As far as I see it, as the masses reach the lower half of the ring, there is a normal reaction acting on them exerted by the ring. But that is in the upward direction.

But after they collide at the bottom, they ( if they are elastic ) start moving up again and in the process, the normal recation exerted by the ring is downwards, and on the ring by the masses is upwards. Probably that is what makes it go up.


spacetime
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