Question:medium
A uniform bar of length \(12\,\text{cm}\) and mass \(20m\) lies on a smooth horizontal table. Two point masses \(m\) and \(2m\) are moving in opposite directions with the same speed \(v\) and in the same plane as the bar, as shown in the figure. These masses strike the bar simultaneously and get stuck to it. After collision the entire system is rotating with angular frequency \(\omega\). The ratio of \(v\) and \(\omega\) is
A uniform bar of length \(12\,\text{cm}\) and mass \(20m\) lies on a smooth horizontal table. Two point masses \(m\) and \(2m\) are moving in opposite directions with the same speed \(v\) and in the same plane as the bar, as shown in the figure. These masses strike the bar simultaneously and get stuck to it. After collision the entire system is rotating with angular frequency \(\omega\). The ratio of \(v\) and \(\omega\) is
Show Hint
In collision problems on a smooth surface, linear momentum may not be conserved, but angular momentum is conserved if external torque is zero.
Updated On: Mar 19, 2026
- \(32\)
- \(2\sqrt{88}\)
- \(66\)
- \(33\)
Show Solution
The Correct Option is D
Solution and Explanation
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