A uniform cylinder of length L, mass M and cross-sectional area A hangs vertically from a spring of constant k and is half submerged in a liquid of density σ at equilibrium. Find the spring extension x₀.
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Question

A uniform cylinder of length L, mass M and cross-sectional area A hangs vertically from a spring of constant k and is half submerged in a liquid of density σ at equilibrium. Find the spring extension x₀.

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G1 Physics · Accepted Answer

Step 1: Use hydrostatic equilibrium, P₂−P₁ = ρgΔh; in an accelerating fluid replace g by the effective acceleration where required. Step 2: Equate pressures at the same horizontal level or integrate pressure over the stated surface. Applying these relations to the given data gives C: (Mg/k)(1 − LAσ/(2M)). Final answer: C.