A thin uniform elastic rod of natural length l,density and young's modulus y is just completely immersed in vertical position in fluid of density 2 by applying a vertical downward force at its top end. The rod is in equilibrium,then find the magnitude of net compression in rod.
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The magnitude of net compression in the coil is 2FL / AY.
Explanation:
Y = T / A . ds/dx
=> T / AY . dx
=>T = (3F - 2F / Lx)
∫ ds = ∫ L - 0 F / AY ( 3 - 2 /Lx) dx
∫ ds = F / AY (3x - x^2 / L) | L - 0
Magnitude of net compression = F / AY ( 3L - L ) = 2fL / AY
Thus the magnitude of net compression in the coil is 2FL / AY.
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Answer:take T=Apg(2L-x)
Explanation:
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