A) \[5.8\,kg-{{m}^{2}}\]
B) \[4.5\,kg-{{m}^{2}}\]
C) \[5.6\,kg-{{m}^{2}}\]
D) \[2.5\,kg-{{m}^{2}}\]
Correct Answer: D
Solution :
The moment of inertia (I) of a body about an axis is equal to the torque \[{{k}_{1}}\] required to produce unit angular acceleration \[{{F}_{1}}=-{{k}_{1}}{{y}_{1}}\] in the body about that axis is \[{{F}_{2}}=-{{k}_{2}}{{y}_{2}}\] \[{{k}_{2}}\] Given, \[{{k}_{1}}\] \[{{k}_{2}}{{F}_{1}}+{{k}_{1}}{{F}_{2}}=-{{k}_{1}}{{k}_{2}}({{y}_{1}}+{{y}_{2}})=-{{k}_{1}}{{k}_{2}}y\] \[{{F}_{1}}={{F}_{2}}=F(say)\]
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