The increase in energy of a metal bar of length ‘L’ and cross-sectional area ‘A’ when compressed with a load ‘M’ along its length is
The increase in energy of a metal bar of length ‘L’ and cross-sectional area ‘A’ when compressed with a load ‘M’ along its length is (Y = Young’s modulus of the material of metal bar)
(A) \(\frac{FL}{2AY}\)
(B) \(\frac{F^2L}{2AY}\)
(C) \(\frac{FL}{AY}\)
(D) \(\frac{F^2L^2}{2AY}\)
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(B) \(\frac{F^2 L}{2AY}\)
U = \(\frac{1}{2}\) × F × l
= \(\frac{1}{2}\) × F × \(\frac{FL}{AY}=\frac{F^2 L}{2AY}\)
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