A) \[\text{M}{{\text{R}}^{\text{2}}}\]
B) \[\frac{1}{2}\text{M}{{\text{R}}^{\text{2}}}\]
C) \[\frac{3}{2}\text{M}{{\text{R}}^{\text{2}}}\]
D) \[\frac{7}{2}\text{M}{{\text{R}}^{\text{2}}}\]
Correct Answer: C
Solution :
The moment of inertia of uniform circular disc about an axis through its centre and normal to ifs plane \[{{I}_{CG}}=\frac{1}{2}M{{R}^{2}}\] According to theorem of parallel axis, the moment of inertia of the uniform circular disc about an axis passing from the edge of the disc f and normal to the disc, \[I={{I}_{CG}}+M{{R}^{2}}=\frac{1}{2}M{{R}^{2}}+M{{R}^{2}}=\frac{3}{2}M{{R}^{2}}\]
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