Moment of inertia of a rectangular section having width (b) and depth (d) about an axis passing through its C.G. and parallel to the depth (d), is

The above figure shows the three coplaner forces P, Q and R acting at a point O. If these forces are in equilibrium, then

The centre of gravity of a hemisphere lies at a distance of 3r / 8 from its base measured along the vertical radius.

The loss of kinetic energy during inelastic impact, is given by(where m₁ = Mass of the first body,m₂ = Mass of the second body, and u₁ and u₂ = Velocities of the first and second bodies respectively.)

If the masses of both the bodies, as shown in the below figure, are doubled, then the acceleration in the string will be