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 :
Moment of inertia c<the system about axis \[AX,\] \[={{I}_{A}}+{{I}_{B}}+{{I}_{C}}\] \[={{m}_{A}}{{({{r}_{A}})}^{2}}+{{m}_{B}}{{({{r}_{B}})}^{2}}+{{m}_{C}}{{({{r}_{C}})}^{2}}\] \[=m{{(0)}^{2}}+m{{(l)}^{2}}+m{{(l\cos 60)}^{2}}\] \[=m{{l}^{2}}+\frac{m{{l}^{2}}}{4}=\frac{5m{{l}^{2}}}{4}\]You need to login to perform this action.
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