A) \[\frac{2\,M{{L}^{2}}}{3}\]
B) \[\frac{4\,M{{L}^{2}}}{3}\]
C) \[\frac{5\,M{{L}^{2}}}{3}\]
D) \[\frac{M{{L}^{2}}}{3}\]
Correct Answer: A
Solution :
Moment of inertia of the system about Z-axis can be found out by calculating the moment of inertia of individual rod about Z-axis \[{{I}_{1}}={{I}_{2}}=\frac{M{{L}^{2}}}{3}\] because Z-axis is the edge of rods 1 and 2 and \[{{l}_{3}}=0\] because rod in lying on Z-axis \[\therefore \,\,\,{{I}_{system}}={{I}_{1}}+{{I}_{2}}+{{I}_{3}}=\frac{M{{L}^{2}}}{3}+\frac{M{{L}^{2}}}{3}+0=\frac{2M{{L}^{2}}}{3}\]You need to login to perform this action.
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