AIIMS 2019 Physics Moment of Inertia MCQ Question

Option A is correct because the calculation of angular momentum $\mathbf{L}$ about the origin incorporates both the moment of inertia $I_{CM}$ and the translational motion of the center of mass, leading to the expression $\mathbf{L} = I_{CM}\omega + mV_{CM}R$. In this case, substituting the given values yields $\mathbf{L} = 2 \times 16 \times 0.5 + 2 \times 2 \times 4 = 32 \, \text{kg·m}^2/\text{s}$. Other options are not applicable as they do not provide relevant calculations or results related to the problem, focusing instead on alternative interpretations or incorrect values. Understanding the components of angular momentum, including both rotational and translational aspects, is crucial in solving problems involving rigid body dynamics.