A uniform rod of mass \( m \) and length \( \ell \) is rotating wit...

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A uniform rod of mass \( m \) and length \( \ell \) is rotating with constant angular velocity \( \omega \) about an axis
\( \mathrm{P} \) which passes through its one end and

W perpendicular to the length of rod. The area of cross section of the rod is A and its Young's modulus is Y. Neglect gravity. The strain at the mid point of the rod is :
(1) \( \frac{m \omega^{2} \ell}{8 A Y} \)
(2) \( \frac{3 m \omega^{2} \ell}{8 A Y} \)
(3) \( \frac{3 m \omega^{2} \ell}{4 A Y} \)
(4) \( \frac{m \omega^{2} \ell}{4 A Y} \)
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