Test Academy | 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 mω²L²/AY, mω²L²/2AY, mω²L²/3AY, 2mω²L²/AY

Question

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

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mω²L²/AY
mω²L²/2AY
mω²L²/3AY
2mω²L²/AY

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