ABCD is a smooth fixed vertcal circular track. A small particle is projected tangentially from the lowermost point A of the track with speed `u sqrt(4 gr)` where r is the radius of track. AC is the vertical diameter of track, then -

In a circus, a rider rides in a circular track of radius 'r' in a plane. The minimum velocity at the highest point of the track will be

In a circus a rider rides in circular track of radius R in the vertical plane. The minimum velocity at highest point of the track will be :

Figure shows a smooth track which consists of a straight inclined part of length l joining smoothly with the circular part. A particle of mass m is projected up the incline from its bottom. a.Find the minimum projected speed v_0 for which the particle reaches the top of the track. b. Assuming that the projection speed is 2v_0 and that the block does not lose contact with the track before reading its top, find the force acting on it when it reaches the top. c. Assuming that the projection speed is only slightly greater than v_0 where will the block lose contact with the track?

Figure shows a smooth track which consists of a straight inclined part of length l joining smoothly with the circular part. A particle of mass m is projected up the incline from its bottom. a.Find the minimum projected speed v_0 for which the particle reaches the top of the track. b. Assuming that the projection speed is 2v_0 and that the block does not lose contact with the track before reading its top, find teh force acting on it whenit reaches the top. c. Assuming that teh projection speed is only slightly greater than v_0 where will the block lose contact with the track?