A) \[\frac{{{\omega }_{1}}+{{\omega }_{2}}}{2}\]
B) \[\sqrt{{{\omega }_{1}}{{\omega }_{2}}}\]
C) \[\sqrt{\omega _{1}^{2}+\omega _{2}^{2}}\]
D) \[\frac{{{\omega }_{1}}{{\omega }_{2}}}{{{\omega }_{1}}+{{\omega }_{2}}}\]
Correct Answer: C
Solution :
[c] \[{{\omega }_{f}}=\sqrt{\frac{k}{{{m}_{1}}}},\,{{\omega }_{2}}=\sqrt{\frac{k}{{{m}_{2}}}};\,\,\omega =\sqrt{\frac{\frac{k}{{{m}_{1}}{{m}_{2}}}}{{{m}_{1}}+{{m}_{2}}}}=\sqrt{\omega _{1}^{2}+w_{2}^{2}}\]You need to login to perform this action.
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