Edits to “Statement”, “Solution”, “Answer”
en/2.7.32.md
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| ### Statement | |||
| − | $2.7.32.$ On a smooth horizontal plane, two identical thin rotating rings move towards each other. Their velocities | ||
| + | $2.7.32.$ On a smooth horizontal plane, two identical thin rotating rings move towards each other. Their velocities $v_1$ and $v_2$ are directed along a staright line connecting the centers of rings. Angular velocities of the rings $w_1$ and $w_2$. Determine the angular velocities of the rings after impact, if their slippage relative to each other disappears at the last moment of impact? | ||
| ### Solution | |||
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| #### Answer | |||
| − | w3 = (3w1-w2)/4 | ||
| − | w4 = (w1-3w2)/4 | ||
| + | \[ | ||
| + | w_3 = (3w_1-w_2)/4, \qquad w_4 = (w_1-3w_2)/4 | ||
| + | \] | ||
| @@ -1,21 +1,18 @@ | |||
| ### Statement | ### Statement | ||
| $2.7.32.$ On a smooth horizontal plane, two identical thin rotating rings move towards each other. Their velocities |
$2.7.32.$ On a smooth horizontal plane, two identical thin rotating rings move towards each other. Their velocities $v_1$ and $v_2$ are directed along a staright line connecting the centers of rings. Angular velocities of the rings $w_1$ and $w_2$. Determine the angular velocities of the rings after impact, if their slippage relative to each other disappears at the last moment of impact? | ||
| ### Solution | ### Solution | ||
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| #### Answer | #### Answer | ||
| w3 = (3w1-w2)/4 | \[ | ||
| w4 = (w1-3w2)/4 | w_3 = (3w_1-w_2)/4, \qquad w_4 = (w_1-3w_2)/4 | ||
| \] | |||