If $${v_e}$$ is escape velocity and $${v_o}$$ is orbital velocity of a satellite for orbit close to the earth's surface, then these are related by

Three masses are placed on the x-axis : 300 g at origin, 500 g at x = 40 cm and 400 g at x = 70cm. The distance of the centre of mass from the orgin is :

The moment of inertia of a uniform circular disc is maximum about an axis perpendicular to the disc and passing through

A car of mass m is moving on a level circular track of radius R. If $$\mu $$_s represents the static friction between the road and tyres of the car, the maximum speed of the car in circular motion is given by