A long uniform thin rod of mass has small point masses of attached to each end

PHYSICS · Single correct · A Level · Physics · Engineering physics · Engineering physics

Problem

A 0.50 m0.50\,\text{m} long uniform thin rod of mass 0.40 kg0.40\,\text{kg} has small point masses of 0.10 kg0.10\,\text{kg} attached to each end. Determine the rotational inertia of the entire assembly about an axis through the rod’s midpoint and perpendicular to the rod. (a) 1.25×10−2 kg⋅m21.25\times10^{-2}\,\text{kg}\cdot\text{m}^{2} (b) 1.70×10−2 kg⋅m21.70\times10^{-2}\,\text{kg}\cdot\text{m}^{2} (c) 2.08×10−2 kg⋅m22.08\times10^{-2}\,\text{kg}\cdot\text{m}^{2} (d) 2.50×10−2 kg⋅m22.50\times10^{-2}\,\text{kg}\cdot\text{m}^{2}

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