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  • Two uniform rods of equal length but different masses are rigidly joined to form an L-shaped body, which is then pivoted about <img alt="\mathrm{O}" src="https://entrancecorner.oncodecogs.com/

Two uniform rods of equal length but different masses are rigidly joined to form an L-shaped body, which is then pivoted about \mathrm{O} as shown in the figure. If in equilibrium the body is in the shown configuration, ratio \mathrm{\frac{M}{m}} will be.

Option: 1

2


Option: 2

3

 


Option: 3

\sqrt{2}


Option: 4

\sqrt{3}


Answers (1)

best_answer

For  equilibrium,

\Sigma \vec{\tau}_{0}=0
\mathrm{or \: M g \times \frac{l}{2} \sin 30^{\circ}-m g \frac{l}{2} \sin 60^{\circ}=0}


\mathrm{\frac{M}{m}=\frac{\sin 60^{\circ}}{\sin 30^{\circ}} }
\mathrm{\frac{M}{m}=\frac{\sqrt{3} / 2}{1 / 2}=\frac{\sqrt{3}}{2} \times \frac{5}{1} }
\mathrm{\frac{M}{m}=\frac{\sqrt{3}}{1} } Ans

 

Posted by

Rakesh

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