A uniform rod of mass m and length l rotates in a horizontal plane with an angular velocity ω about a vertical axis passing through one end. The tension in the rod at a distance x from the axis is

Q: A uniform rod of mass m and length l rotates in a horizontal plane with an angular velocity ω 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 (l – \frac{x}{l} ) $

(d) $\frac{m \omega^2 }{2 l} (l^2 – x^2 ) $

Ans: (d)