How Does Gravity Affect the Fall of a Yo-Yo?

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The discussion centers on the dynamics of a yo-yo's fall under the influence of gravity, specifically examining the conditions required for the center of mass of the disk to fall vertically. The participants explore whether the disk would descend more rapidly if it were attached to a pole, indicating a need for clarity on the forces acting on the yo-yo system. Key concepts include gravitational acceleration and the effects of rotational inertia on the fall rate of the disk.

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  • Understanding of gravitational acceleration
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Feynmanfan
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Dear friends,

Here's a problem I can't solve. The disk on the picture falls under influence of gravity. The horizontal table creates no friction and the string that binds mass m and the disk is rolled up around the disk. The center of mass of the disk falls vertically.

My question is: what's the condition it has to satisfy, so that this last statement is true?

Do you think it's true that the disk will fall faster if it were attached to the pole?

Thanks for your help!
 

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