A uniform rod of mass $m$ and length $l$ rotates in a horizontal plane with an angular velocity $\omega $ about a vertical axis passing through one end. The tension in the rod at a distance $x$ from the axis is
A uniform rod of mass $m$ and length $l$ rotates in a horizontal plane with an angular velocity $\omega $ about a vertical axis passing through one end. The tension in the rod at a distance $x$ from the axis is
- A
$\frac{1}{2}\,m{\omega ^2}x$
- B
$\frac{1}{2}\,m{\omega ^2}\frac{{{x^2}}}{l}$
- C
$\frac{1}{2}\,m{\omega ^2}l\,\left( {1 - \frac{x}{l}} \right)$
- D
$\frac{1}{2}\,\frac{{m{\omega ^2}}}{l}\,\left( {{l^2} - {x^2}} \right)$
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