• # question_answer The moment of inertia of a thin uniform rod of mass M and length L about an axis passing through its mid-point and perpendicular to its length is${{I}_{0}}.$Its moment of inertia about an axis passing through one of its ends and perpendicular to its length is A) ${{I}_{0}}+M{{L}^{2}}/4$B) ${{I}_{0}}+2M{{L}^{2}}$C) ${{I}_{0}}+M{{L}^{2}}$D) ${{I}_{0}}+M{{L}^{2}}/2$

The theorem of parallel axis for moment of inertia $I={{I}_{CM}}+M{{h}^{2}}$ $I={{I}_{0}}+M{{\left( \frac{L}{2} \right)}^{2}}$ $={{I}_{0}}+\frac{M{{L}^{2}}}{4}$