OnlineCBT
Physics · SYSTEMS OF PARTICLES AND ROTATIONAL MOTION
हिन्दीTwo uniform thin rods each of length \( L \) and mass \( M \) are joined perpendicularly at their midpoints to form a symmetric cross. The moment of inertia of this cross about an axis perpendicular to the plane containing both rods and passing through their intersection point is:
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Correct answer · Option A
\( \frac{ML^2}{6} \)
Explanation
For each rod, the moment of inertia about the perpendicular axis through its midpoint is \( I_1 = \frac{1}{12}ML^2 \). For both rods together, \( I = I_1 + I_2 = \frac{1}{12}ML^2 + \frac{1}{12}ML^2 = \frac{ML^2}{6} \).
