Two identical solid cylinders

PHYSICS · Subjective · CBSE · Physics · System of Particles and Rotational Motion · System of Particles and Rotational Motion

Problem

Two identical solid cylinders, each of mass 1.5 kg1.5\,\text{kg} and radius 0.10 m0.10\,\text{m}, are welded side by side so that their flat faces touch and their symmetry axes are parallel and 0.20 m0.20\,\text{m} apart. The rotational inertia of a solid cylinder about its own symmetry axis is I=12MR2I=\tfrac{1}{2}MR^{2}. Calculate the total rotational inertia of the welded pair about an axis that coincides with the symmetry axis of the left-hand cylinder. Express your answer in kg⋅m2\text{kg}\cdot\text{m}^{2}.

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