A cylindrical block of area of cross-section | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(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

Vedclass · Accepted Answer

$2\rho Ag$

Vedclass · Answer

(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$

Similar Questions

$A$ piece of copper having an internal cavity weighs $264\, g$ in air and $221\, g$ in water. Find the volume (in $cc$) of the cavity. Density of $Cu = 8.8\, g/cc$.

$A$ $0.5 \,kg$ block of brass (density $=8 \times 10^3 \,kg \,m^{-3}$) is suspended from a string. What is the tension in the string if the block is completely immersed in water? $(g=10 \,ms^{-2})$

$A$ container of large surface area is filled with a liquid of density $\rho$. $A$ cubical block of side edge $a$ and mass $M$ is floating in it with four-fifths of its volume submerged. If a coin of mass $m$ is placed gently on the top surface of the block,it is just submerged. $M$ is:

State Archimedes' principle.

$A$ pendulum has a time period $T$ in air. When it is made to oscillate in water,it acquires a time period $T' = \sqrt{2} T$. The density of the pendulum bob is (density of water $= 1$)

Vedclass Test Series

Exam Paper Generator

Online Exam Module