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Physics · SYSTEMS OF PARTICLES AND ROTATIONAL MOTION
हिन्दीFour point masses each of mass \( m \) are connected by light rigid rods of length \( L \) to form a planar square frame. The moment of inertia of this system about an axis passing through one of the vertices and perpendicular to the plane of the square is:
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Correct answer · Option A
\( 4mL^2 \)
Explanation
Distance of masses from chosen vertex: mass at vertex is at \( r=0 \); two adjacent masses are at \( r=L \); diagonally opposite mass is at \( r = \sqrt{2}L \). Thus, \( I = m(0)^2 + 2m(L^2) + m(\sqrt{2}L)^2 = 2mL^2 + 2mL^2 = 4mL^2 \).
