A thin insulating wire is stretched·along the diameter of an. insulated circular hoop of radius R. A small bead of mass m and charge-q is threaded onto the wire. Two small identical charges are tied to the hoop at points opposite to each other, so that the diameter passing through them is perpendicular to the thread as shown in figure. The bead is released at a point which.is located at a distance `x_(0)` from the centre of the hoop. Assume that `x_(0) lt lt R`.
(a) What is the resultant force acting on the charged bead?
(b) Describe the motion of the bead after it is released X
(c) Use the assumption that `(x)/(R) lt lt 1` to obtain an approximate equation of motion, and find the displacement and velocity of the bead as functions of time
(d) When will the velocity of the bead will bcome zero for the first time?