A) zero
B) \[\sqrt{\frac{6g}{5l}}\]
C) \[\sqrt{\frac{3g}{5l}}\]
D) none
Correct Answer: B
Solution :
Moment of inertia of system of rods about P: \[l=\left( \frac{m{{l}^{2}}}{3} \right)\,\,+\,\,\left[ \frac{m{{l}^{2}}}{l2}+\frac{m5{{l}^{2}}}{4} \right]\,\,=\,\,\frac{5}{3}\,m{{l}^{2}}\] \[Loss\,\,in\,\,PE\,\,=\,\,gain\,\,in\,\,KE\] \[mg=\frac{l}{2}+mg\frac{l}{2}=\frac{1}{2}l{{\omega }^{2}}\,\,\Rightarrow \,\,\omega =\sqrt{\frac{6g}{5l}}\]You need to login to perform this action.
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