A circular wire frame is fixed in a vertical plane. A smooth wire is tightly stretched between point `P_(1)"and"P_(2)`. A bead slides from the point `P_(1)` the highest point of the circle Determine (a) its velocity v when it arrives at `P_(2)` and (b) show that time to slide along any similar chord is same

A bead is free to slide down a smooth wire tightly stretched between points A and on a verticle circle of radius R. if the bead starts from rest at 'A', the highest point on the circle, its velocity when it arrives at B is :-

A bead is free to slide down a smooth wire tightly stretched between points A and B on a vertical circle. If the starts from rest at A , the heighest point on the circle

A bead is sliding down a smooth wire tightly stretched between the points P_(1) and P_(2) on a vertical circle of radius R. If the bead starts from rest from P_(1) , the highest point on the circle and P_(2) lies anywhere on the circumference of the circle. Then

Two beads A and B of masses m_(1) and m_(2) respectively, are threaded on a smooth circular wire of radius a fixed in a vertical plane. B is stationary at the lowest point when A is gently dislodged from rest at the highest point. A collided with B at the lowest point. The impulse given to B due to collision is just great enough to carry it to the level of the centre of the circle while A is immediately brought to rest by the impact. What is the coefficient of restituting between the beads?

Two beads A and B of masses m_(1) and m_(2) respectively, are threaded on a smooth circular wire of radius a fixed in a vertical plane. B is stationary at the lowest point when A is gently dislodged from rest at the highest point. A collided with B at the lowest point. The impulse given to B due to collision is just great enough to carry it to the level of the centre of the circle while A is immediately brought to rest by the impact. Find the ratio m_(1):m_(2)

Two beads A and B of masses m_(1) and m_(2) respectively, are threaded on a smooth circular wire of radius a fixed in a vertical plane. B is stationary at the lowest point when A is gently dislodged from rest at the highest point. A collided with B at the lowest point. The impulse given to B due to collision is just great enough to carry it to the level of the centre of the circle while A is immediately brought to rest by the impact. If m_(2) again comes down and collides with m_(1) then after the collision

A bead is free to slide down on a smooth wire rightly stretched between points A and B on a vertical circle of radius 10 m . Find the time taken by the bead to reach point B , if the bead slides from rest from the highest point A on the circle. .

A bead can slide on a smooth circular wire frame of radius R which is fixed in a vartical plane. The bead is displaced slightly from the highest point of the wire frame. The speed of the bead subsequently as a function of the angle theta made by the bead with the vertical line is

A bead can slide on a smooth circular wire frame of radius r which is fixed in a vertical plane. The bead is displaced slighty from the highest point of the wire frame. The speed of the bead subsequently as a function of the angle theta made by the bead with the verticle line is

A bead of mass m is threaded on a smooth circular wire centre O , radius a, which is fixed in vertical plane. A light string of natural olength 'a', elastic constant = (3mg)/(a) and breaking strength 3mg connects the bead to the lowest point A of the wire. The other end of the string is fixed to ring at point B near point A . The string is slaked initially. The bead is projected from A with speed u . If v =2 u_(0) , the tension T in th elastic string when the bead is at the highest point B of the wire is