Explain how the position of the centre of gravity determines whether a body is in stable or unstable equilibrium.

Give three examples of bodies in unstable equilibrium.

Determine the position of the centre of mass of a hemisphere of radius R.

Explain how the centre of gravity of an irregular lamina is determined.

Two identical heavy sphers are separated by a distance 10 times their radius. Will an object planed at the mid point of the line joining their centres be in stable equilibrium or unstable equilibrium ? Give reason for your answer.

The force acting on a body moving along x-axis varies with the position of the particle shown in the figure. The body is in stable equilibrium at .

Two identical heavy spheres are separated by a distance 10 times their radius. Will an object placed at the mid-point of the line joining their centres be in stable equilibrium or unstable equilibrium ? Give reason for your answer.

Define the centre of gravity of a homogenous rigid body.

potential enrgy of a particle along x-axis varies as, U=-20 + (x-2)^(2) , where U is in joule and x in meter. Find the equilibrium position and state whether it is stable or unstable equilibrium.

Force acting on a particle constrained to move along x-axis is F=(x-4) . Here, F is in newton and x in metre. Find the equilibrium position and state whether it is stable or unstable equilibrium.