A cubic block of side $$'L'$$ and mass $$'M'$$ is dragged over an oil film across table by a string connects to a hanging block of mass $$'m'$$ as shown is fig. The Newtonian oil film of thickness $$'h'$$ has dynamic viscosity $$'\mu '$$ and the flow condition is laminar. The acceleration due to gravity is $$'g'.$$ The steady state velocity $$'v'$$ of block is :

A journal bearing has a shaft diameter of $$40$$ $$mm$$ and a length of $$40mm.$$ The shaft is rotating at $$20$$ $$rad/s$$ and the viscosity of the lubricant is $$20$$ $$mPa$$-$$s$$. The clearance is $$0.020$$ $$mm.$$ The loss of torque due to the viscosity of the lubricant is approximately:

Newton's law of viscosity states that the shear stress in a fluid is proportional to :

Oil in a hydraulic cylinder is compressed from an initial volume $$2{m^3}$$ to $$1.96{m^3}$$. If the pressure of oil in the cylinder changes from $$40$$ $$MPa$$ to $$80$$ $$MPa$$ during compression, the bulk modulus of elasticity of oil is .........