Three identical spheres each of radius R are placed touching each oother on a horizontal table. Where is the centre of mass of the system located?

Two heavy spheres each of mass 100 kg and radius 0.10 m are placed 1.0 m apart on a horizontal table. What is the gravitational force and potential at the mid point of the line joining the centres of the spheres ? Is an object placed at that point in equilibrium? If so, is the equilibrium stable or unstable ?

Two spheres of equal radius r are touching each other. The force of attra tion between them is proportional to

Three charges each of value q are placed the corners of an equilaterla triangle. A fourth charge Q is placed at the centre of the triangle. For what value of Q, will the charges remain stationary? In this situation, how much work is done in removing the charges to infinity?

Three charges each of value q are placed the corers of an equilaterla triangle. A fourth charge Q is placed at the centre of the triangle. If Q = -q, will the charges at the corners move towards the centre or fly away from it?

Three particles each of mass m are placed at the corners of a right angled triangle as shown in figure if OA=a and OB=b, the position vector of the centre of mass is: .

Two spheres each of mass M and radius R//2 are connected with a massless rod of lenth 2R as shown in fig.What will be the oment of inertia of the system about an axis passing through the centre of one of the spheres and prependicular to the rod?

Four sphere each of mass 10 kg and of radius 20 cm are placed at the four cornes of a square of side 100 cm. Calculate the moment of inertia of the system about an axis coinciding with side of the square (given moment of inertia of sphere = 2/5 MR^2 )

Four sphere each of mass 10 kg and of radius 20 cm are placed at the four cornes of a square of side 100 cm. Calculate the moment of inertia of the system about an axis coinciding with diagonal of the square. (given moment of inertia of sphere = 2/5 MR^2 )

Two free point charges each of +4q and +q are placed at a distance a apart. Where should a third point charge Q be placed between them so that the entire system is in equilibrium?