The ring \( R \) in the arrangement shown can slide along a smooth, fixed, horizontal rod \( X Y...

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The ring \( R \) in the arrangement shown can slide along a smooth, fixed, horizontal rod \( X Y \). It is attached to the block \( \mathrm{B} \) by a light string. The block is released from rest, with the string horizontal
(a) One point in the string will have only vertical motion
(b) \( \mathrm{R} \) and \( \mathrm{B} \) will always have momenta of the same magnitude
(c) When the string becomes vertical, the speeds of \( \mathrm{R} \) and \( \mathrm{B} \) will be inversely proportional to their masses
(d) R will lose contact with the rod at some point
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