A cylindrical block of area of cross-section | vedclass

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(B) Let $L$ be the length of the cylindrical block. The volume of the block is $V = AL$. The weight of the block is $W = V\rho g = AL\rho g$.The block

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$2\rho Ag$

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(B) Let $L$ be the length of the cylindrical block. The volume of the block is $V = AL$. The weight of the block is $W = V\rho g = AL\rho g$.The block is fully submerged in the liquid. The density of the liquid is $\rho_l = \rho/3$. The buoyant force $F_b$ acting on the block is equal to the weight of the liquid displaced,which is $F_b = V\rho_l g = AL(\rho/3)g = AL\rho g/3$.The block compresses the spring by $x = L/3$. The spring force is $F_s = kx = k(L/3)$.Since the block is in equilibrium,the net force on it is zero:$F_s + F_b = W$$k(L/3) + AL\rho g/3 = AL\rho g$$k(L/3) = AL\rho g - AL\rho g/3$$k(L/3) = 2AL\rho g/3$$k = 2\rho Ag$

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