A uniform rod of mass m, length L, area of cross-section A is rotated about an axis…
Physics · JEE Advanced · NTA Exams — Properties of Solids and Liquids
A uniform rod of mass m, length L, area of cross-section A is rotated about an axis passing through one of its ends and perpendicular to its length with constant angular velocity ω in a horizontal plane. If Y is the Young’s modulus of the material of rod, the increase in its length due to rotation of rod is
- \(\frac{m \omega^{2} L^{2}}{A Y}\)
- \(\frac{\mathrm{m} \omega^{2} \mathrm{~L}^{2}}{2 \mathrm{AY}}\)
- \(\frac{m \omega^{2} L^{2}}{3 A Y}\)
- \(\frac{2 m \omega^{2} L^{2}}{A Y}\)
Answer
(B) m ^ 2 ~L ^ 2 2 AY
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