Four particles each of mass 1 kg are placed at four corners of a square of side 2 m. Moment of inertia of system about an axis perpendicular to its plane and passing through one of its vertex is_________ kgm2.

JEE Mains · Physics · STD 11 - System of particles and rotational motion

Four particles each of mass \(1 \mathrm{~kg}\) are placed at four corners of a square of side \(2 \mathrm{~m}\). Moment of inertia of system about an axis perpendicular to its plane and passing through one of its vertex is_________ \(\mathrm{kgm}^2\).

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Verified Solution

Correct Answer

(B) \(16\)

Detailed explanation

\( \mathrm{I}=m a^2+m a^2+\mathrm{m}(\sqrt{2} \mathrm{a})^2 \)

\( =4 \mathrm{ma}^2 \)

\( =4 \times 1 \times(2)^2=16\)

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