Physics · SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

For 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:

1. \( ML \)
2. \( \frac{ML}{2} \)
3. \( 0 \)
4. \( \frac{ML^2}{12} \)