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Physics · SYSTEMS OF PARTICLES AND ROTATIONAL MOTION
हिन्दीFor a thin uniform rod of length \( L \) and mass \( M \) lying along the \( x \)-axis with its geometric centre at the origin \( x = 0 \), the integral \( \int x\,dm \) evaluated over the rod is:
Correct answer · Option 3
\( 0 \)
Explanation
By reflection symmetry, for every mass element \( dm \) at \( x \), there is an identical element \( dm \) at \( -x \), making the integral \( \int x\,dm = 0 \).
