A rigid body shown in the fig.(a) has a mass of 10kg. It rotates with a uniform angular velocity $$'\omega '$$ A balancing mass of 20 kg is attached as shown in fig.(b). The percentage increase in mass moment of inertia as a result of this addition is

The figure below shown a pair of pin jointed gripper tongs holding an object weighing $$2000N$$. The coefficient of friction (µ) at the gripping surface is $$0.1$$ $$XX$$ is the line of action of the input force and $$Y - Y$$ is the line of application of gripping force. If the pin joint is assumed to be frictionless, the magnitude of force $$F$$ required to hold the weight is

An incompressible fluid (kinematic viscosity $$ = 7.4 \times {10^{ - 7}}\,\,{m^2}/s,$$ specific gravity, $$0.88$$) is held between two parallel plates. If the top plate is moved with a velocity of $$0.5$$ $$m/s$$ while the bottom one is held stationary, the fluid attains a linear velocity profile in the gap of $$0.5$$ $$mm$$ between these plates; the shear stress in Pascal on the surface of bottom plate is :

A fluid flow is represented by the velocity field $$\overrightarrow V = ax\,\overrightarrow i + ay\,\overrightarrow j ,$$ where a constant . The equation of stream line passing through a point $$(1, 2)$$ is