Fluid Mechanics Viscosity Question 257

Question: A hollow sphere of mass $ M=50kg $ and radius$ r={{\left( \frac{3}{40\pi } \right)}^{1/3}} $ m is immersed in a tank of water (density $ {\rho_{w}}=10^{3}kg/m^{3} $ ). The sphere is tied to the bottom of a tank by two wires A and B as shown. Tension in wire A is$ (g=10m/s^{2}) $

Options:

A) $ 125\sqrt{2}N $

B) $ 125N $

C) $ 250\sqrt{2}N $

D) $ 250N $

Show Answer

Answer:

Correct Answer: C

Solution:

[c] $ T_{1}={T_{2}},Mg+\sqrt{2}T_{1} $ $ =\frac{4}{3}\pi r^{3}{\rho_{w}}g,,T_{1} $ $ =250\sqrt{2}N $



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