A) \[3\,\,M{{R}^{2}}\]
B) \[\frac{3}{2}\,\,M{{R}^{2}}\]
C) \[5\,\,M{{R}^{2}}\]
D) \[\frac{7}{2}\,\,M{{R}^{2}}\]
Correct Answer: D
Solution :
MI of system about YY? \[I={{I}_{1}}+{{I}_{2}}+{{I}_{3}}\] Where \[{{I}_{1}}\] = moment of inertia of ring about diameter, \[{{I}_{2}}+{{I}_{3}}=MI\] of inertia of ring about a tangent in a plane \[\therefore \,\,\,\,\,\,I=\frac{1}{2}m{{R}^{2}}+\frac{3}{2}m{{R}^{2}}+\frac{3}{2}m{{R}^{2}}=\frac{7}{2}m{{R}^{2}}\]
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