A) \[\frac{3}{4}m{{l}^{2}}\]
B) \[2m{{l}^{2}}\]
C) \[\frac{5}{4}\,m{{l}^{2}}\]
D) \[\frac{3}{2}\,m{{l}^{2}}\]
Correct Answer: C
Solution :
The moment of inertia of the system \[=\,\,\,{{m}_{A}}{{r}_{A}}^{2}+\,\,{{m}_{B}}{{r}_{B}}^{2}+\,{{m}_{C}}{{r}_{C}}^{2}\] \[{{\operatorname{m}}_{A}},\,\,{{m}_{B}},{{m}_{C}}\] are masses at A,B,C respectively \[{{r}_{A}},\,\,{{r}_{B}},{{r}_{C}}\] are perpendicular distance from AX moment of inertia. \[=\,\,{{m}_{A}}{{(0)}^{2}}+m{{(l)}^{2}}+\,\,m{{(l\,sin\,\,30{}^\circ )}^{2}}\] \[=\,\,\,m{{l}^{2}}+\,\,m{{l}^{2}}\left( \frac{1}{4} \right)\,\,=\,\,\frac{5}{4}m{{l}^{2}}\]You need to login to perform this action.
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