Two co-axial rotors having moments of inertia \[{{I}_{1}},{{I}_{2}}\] and angular speeds \[{{\omega }_{1}}\] and \[{{\omega }_{2}}\] respectively are engaged together. The loss of energy during engagement is equal to:

\[\frac{{{I}_{1}}{{I}_{2}}{{(\omega _{1}^{2}-\omega _{2}^{2})}^{2}}}{2({{I}_{1}}+{{I}_{2}})}\]

\[\frac{{{I}_{1}}{{I}_{2}}{{({{\omega }_{1}}-{{\omega }_{2}})}^{2}}}{2({{I}_{1}}+{{I}_{2}})}\]

\[\frac{2{{I}_{1}}{{I}_{2}}{{({{\omega }_{1}}-{{\omega }_{2}})}^{2}}}{({{I}_{1}}+{{I}_{2}})}\]

\[\frac{{{I}_{1}}\omega _{1}^{2}-{{I}_{2}}\omega _{2}^{2}}{({{I}_{1}}+{{I}_{2}})}\]

Two co-axial rotors having moments of inertia \[{{I}_{1}},{{I}_{2}}\]

1.	Two co-axial rotors having moments of inertia \[{{I}_{1}},{{I}_{2}}\] and angular speeds \[{{\omega }_{1}}\] and \[{{\omega }_{2}}\] respectively are engaged together. The loss of energy during engagement is equal to:
A.	\[\frac{{{I}_{1}}{{I}_{2}}{{({{\omega }_{1}}-{{\omega }_{2}})}^{2}}}{2({{I}_{1}}+{{I}_{2}})}\]
B.	\[\frac{{{I}_{1}}{{I}_{2}}{{(\omega _{1}^{2}-\omega _{2}^{2})}^{2}}}{2({{I}_{1}}+{{I}_{2}})}\]
C.	\[\frac{2{{I}_{1}}{{I}_{2}}{{({{\omega }_{1}}-{{\omega }_{2}})}^{2}}}{({{I}_{1}}+{{I}_{2}})}\]
D.	\[\frac{{{I}_{1}}\omega _{1}^{2}-{{I}_{2}}\omega _{2}^{2}}{({{I}_{1}}+{{I}_{2}})}\]
Answer» B. \[\frac{{{I}_{1}}{{I}_{2}}{{(\omega _{1}^{2}-\omega _{2}^{2})}^{2}}}{2({{I}_{1}}+{{I}_{2}})}\]

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Two co-axial rotors having moments of inertia \[{{I}_{1}},{{I}_{2}}\] and angular speeds \[{{\omega }_{1}}\] and \[{{\omega }_{2}}\] respectively are engaged together. The loss of energy during engagement is equal to:

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