Two small balls of equal mass are joined by a light rigid rod. If they are released from rest in the position shown and slide on the smooth track in the vertical plane, the speed of balls when A reaches B's position and B is at B is r=0.25m B

A small ball of mass m is released from rest from the position shown . All contact surface are smooth . The speed of the ball when it reaches its lowest position is

Two beads A and B of equal mass m are connected by a light inextensibe chord. They are constrined to move on a frictionless ring in vertical plane. The blocks are released from rest as shown in figure. The tension in the chord just after the release is

Beads A and B each of mass m , are connected by a light inextensible cord. They are constrained (restricted) to move on a frictionless ring in a vertical plane as shown. The beads are released from rest at the position shown. The tension in the cord just after the release is.

In the figure shown, the cart of mass 6m is initially at rest. A particle of mass m is attached to the end of the light rod which can rotate freely about A. If the rod is released from rest in a horizontal position shown, determine the velocity v_(rel) of the particle with respect to the cart when the rod is vertical. (Assume frictionless surface)

A ball of mass m is released from A inside a smooth wedge of mass m as shown in figure. What is the speed of the wedge when the ball reaches point B?

Two beads A & B of equal mass m are connected by a light inextensible to move on a connected to move on a frictionless ring in vertical plane. The beads are released from rest as shown. The tension in the cord just after the release is:

Two small balls, each of mass m are connected by a light rigid rod of length L. The system is suspended from its centre by a thin wire of torsional constant k. The rod is rotated about the wire through an angle theta_0 and released. Find the tension in the rod as the system passes through the mean position.

A ball of mass 1kg is suspended by an inextensible string 1m long attached to a point O of a smooth horizontal bar resting on fixed smooth supports A and B. The ball is released from rest from the position when the string makes an angle 30^@ with the vertical. The mass of the bar is 4kg . The displacement of bar when ball reaches the other extreme position (in m) is

One end of a light of length L is connected to a ball and other end is connected to a fixed point O . The ball is released from rest at t=0 with string horizontal and just taut. The ball then moves it vertival circular pathh as shown. The time taken by ball to go from position A to B is t_(1) and from B to lowest position C is t_(2) . Let the velocity of ball at B is vecv_(B) and at C is vecv_(C) respectively. if |vecv_(c)|=2|vecv_(B)| then the value of theta shown is

One end of a light of length L is connected to a ball and other end is connected to a fixed point O . The ball is released from rest at t=0 with string horizontal and just taut. The ball then moves it vertival circular pathh as shown. The time taken by ball to go from position A to B is t_(1) and from B to lowest position C is t_(2) . Let the velocity of ball at B is vecv_(B) and at C is vecv_(C) respectively. If |vecv_(c)|=2|vecv_(B)| then