A) \[(3/4)\,m{{l}^{2}}\]
B) \[2\,m{{l}^{2}}\]
C) \[(5/4)\,m{{l}^{2}}\]
D) \[(3/2)\,m{{l}^{2}}\]
Correct Answer: C
Solution :
Moment of inertia of the system about AX is given by \[MI={{m}_{A}}r_{A}^{2}+{{m}_{B}}r_{B}^{2}+{{m}_{C}}r_{C}^{2}\] \[MI=m{{(0)}^{2}}+m{{(l)}^{2}}+m{{(l\sin {{30}^{o}})}^{2}}\] \[=m{{l}^{2}}+\frac{m{{l}^{2}}}{4}=\frac{5}{4}m{{l}^{2}}\]You need to login to perform this action.
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