A 2kg steel rod of length 0.6m is clamped on a table vertically at its lower end and is free to rotate in vertical plane. The upper end is pushed so that the rod falls under gravity. Ignoring the firction due to clamping at its lower end, the speed of the free end of rod when it passes through its lowest position is________ms^-1.

$l=\frac{m{\mathcal{l}}^2}{3}$  

Energy conservation Low

$mg\mathcal{l}=\frac{1}{2}\frac{m{\mathcal{l}}^2}{3}{\omega }^2.....\left(i\right)$                

And speed V =    $\omega r=\omega \mathcal{l}$

then    $V=\sqrt[]{6g\mathcal{l}}=\sqrt[]{6\times 10\times .6}$

->6 m/s

 

 

<p>&lt;!- [if gte mso 9]-&gt; &lt;!- [endif]-&gt;<span contenteditable="false"> <math> <mrow> <mi>l</mi> <mo>=</mo> <mfrac> <mrow> <mi>m</mi> <msup> <mrow> <mi mathvariant="script">l</mi> </mrow> <mrow> <mn>2</mn> </mrow> </msup> </mrow> <mrow> <mn>3</mn> </mrow> </mfrac> </mrow> </math> </span>&nbsp;</p><p>Energy conservation Low</p><p><span contenteditable="false"> <math> <mrow> <mi>m</mi> <mi>g</mi> <mi mathvariant="script">l</mi> <mo>=</mo> <mfrac> <mrow> <mn>1</mn> </mrow> <mrow> <mn>2</mn> </mrow> </mfrac> <mfrac> <mrow> <mi>m</mi> <msup> <mrow> <mi mathvariant="script">l</mi> </mrow> <mrow> <mn>2</mn> </mrow> </msup> </mrow> <mrow> <mn>3</mn> </mrow> </mfrac> <msup> <mrow> <mi>ω</mi> </mrow> <mrow> <mn>2</mn> </mrow> </msup> <mo>.</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> <mrow> <mo> (</mo> <mrow> <mi>i</mi> </mrow> <mo>)</mo> </mrow> </mrow> </math> </span> &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&lt;!- [if gte mso 9]-&gt; &lt;!- [endif]-&gt;&nbsp;</p><p>And speed V =&nbsp;&lt;!- [if gte mso 9]-&gt; &lt;!- [endif]-&gt;&nbsp;<span contenteditable="false"> <math> <mrow> <mi>ω</mi> <mi>r</mi> <mo>=</mo> <mi>ω</mi> <mi mathvariant="script">l</mi> </mrow> </math> </span></p><p>then&nbsp;&lt;!- [if gte mso 9]-&gt; &lt;!- [endif]-&gt;&nbsp;<span contenteditable="false"> <math> <mrow> <mi>V</mi> <mo>=</mo> <mroot> <mrow> <mn>6</mn> <mi>g</mi> <mi mathvariant="script">l</mi> </mrow> <mrow></mrow> </mroot> <mo>=</mo> <mroot> <mrow> <mn>6</mn> <mo>×</mo> <mn>1</mn> <mn>0</mn> <mo>×</mo> <mo>.</mo> <mn>6</mn> </mrow> <mrow></mrow> </mroot> </mrow> </math> </span></p><p>-&gt;6 m/s</p><div><div><picture><source srcset="" media=" (max-width: 500px)"><img src="https://images.shiksha.com/mediadata/images/1754477512phpX8VpQK.jpeg" alt="" width="202" height="250" loading="lazy"></picture></div></div><p>&nbsp;</p><p>&nbsp;</p>

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