Maximum tensile stress that a material can withstand is σ. A rod of mass m having uniform cross sectional area, made of the above mentioned material is freely suspended from one end. Then find its minimum diameter.
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a
mg2πσ
b
4mgπσ
c
2mgπσ
d
4mgπσ
answer is D.
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Detailed Solution
Maximum stress is developed in the topmost section. ∴π4d2σ=mg⇒d=4mgπσ