InterviewSolution
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InterviewSolution
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A uniform cylinder of length (L) and mass (M) having cross sectional area (A) is suspended, with its length vertical, from a fixed point by a massless spring, such that it is half - submerged in a liquid of density (rho) at equilibrium position. When the cylinder is given a small downward push and released it starts oscillating vertically with small amplitude. If the force constant of the spring is (k), the prequency of oscillation of the cylindcer is.A. `(1)/(2 pi) ((k - A rho g)/(M))^(1//2)`B. `(1)/( 2 pi) ((k + A rho g)/(M))^(1//2)`C. `(1)/(2 pi)((k + rho gL)/(M))^(1//2)`D. `(1)/(2 pi) ((k + A rho g)/(A rho g))^(1//2) |
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Answer» Correct Answer - B If (x) is the displacement then, :. `M omega^2 x= [rho A g + k]x` `rArr omega = [(rho A g + k)/(m)]^(1//2) rArr v = (1)/(2 pi)[(rho A g + k)/(M)]^(1//2)`. |
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