A) \[\frac{l}{8}{{({{\omega }_{1}}-{{\omega }_{2}})}^{2}}\]
B) \[\frac{1}{2}l{{({{\omega }_{1}}+{{\omega }_{2}})}^{2}}\]
C) \[\frac{1}{4}l{{({{\omega }_{1}}-{{\omega }_{2}})}^{2}}\]
D) \[l{{({{\omega }_{1}}-{{\omega }_{2}})}^{2}}\]
Correct Answer: C
Solution :
\[\Delta KE=\frac{1}{2}\frac{{{l}_{1}}{{l}_{2}}}{{{l}_{1}}+{{l}_{2}}}{{({{\omega }_{1}}-{{\omega }_{2}})}^{2}}\] \[=\frac{1}{2}\frac{{{l}^{2}}}{(2l)}{{({{\omega }_{1}}-{{\omega }_{2}})}^{2}}\] \[=\frac{1}{4}l{{({{\omega }_{1}}-{{\omega }_{2}})}^{2}}\]You need to login to perform this action.
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