Two identical beads each have a mass m and charge q. When placed in a hemispherical bowl of radius R with frictionless, non-conducting walls, the beads move, and at equilibrium they area distance R apart (figure). Determine the charge on each bead.

Two point charges, each of mass m and charge q are released when they are at a distance from each other. What is the speed of each charged particle when they are at a distance 2r ?

Two identical tennis balls each having mass 'm' and charge 'q' are suspended from a fixed point by threads of length 'l'. What is the equilibrium separation when each thread makes a small angle 'theta' with the vertical ?

Two identical metal spheres A and B have equal and similar charges. They repel each other with a force 103N, when they are placed 10cm apart in a medium of dielectric constant 7. Determine the charge on each sphere.

Two identical small charged spheres, each having a mass m, hang in equilibrium as shown in fig. the ligth of each string is l, and the angle made by any string with the vertical is theta . Find the magnitude of the charge on each sphere.

A rigeid insulated wire frame in the form of a right-angled traingle ABC is set in a vertical plane as shown in fig. two beads of equal masses m each and carrying charges q_(1) and q_(2) are connected by a cord of length l and can slide without friction on the wires. Cinsidering the case when the beads are stationary, determine (i) the angel alpha (ii) the tension in the cord, and (iii) The normal recation on teh beads. If the cord is now cut, what are the value of the charges for which the beads continue to remain stationary?

Two equal charges, +Q each, are at a distance r from each other. A third charge is placed on the line joining the above two charges such that all these charges are in equilibrium. Find q, in terms of Q.

A large number (n) of identical beads, each of mass m and radius r are strung on a thin smooth rigid horizontal rod of length L (L gt gt r) an dare at rest at random positions. The rod is mounted between two rigid supports (see figure). If one of the beads is now given a speed v, the average force experienced by each support after a lone time is (assume all collision are elastic) :-