Minimum velocity of a particle to complete vertical circle #circularmotion #verticalcircularmotion

Find u_(min) so that particle will complete vertical circle

Average velocity of a particle executing SHM in one complete vibration is :

Average velocity of a particle executing SHM in one complete vibration is :

A bob of mass m, suspended by a string of length l_1 is given a minimum velocity required to complete a full circle in the vertical plane. At the highest point, it collides elastically with another bob of mass m suspended by a string of length l_2 , which is initially at rest. Both the strings are mass-less and inextensible. If the second bob, after collision acquires the minimum speed required to complete a full circle in the vertical plane, the ratio (l_1)/(l_2) is

A particle is given an initial speed inside a fixed smooth spherical shell of radius 1 m such that just able to complete the vertical circle acceleration of particle at instant when velocity becomes perpendicular to initial (initially particle at the bottom)

A small particle of mass m attached with a light inextensible thread of length L is moving in a verical circle. In the given case particle is moving in complete vertical circle and ratio of its maximum to minimum velocity is 2:1 . Minimum velocity of the particle is

A small particle of mass m attached with a light inextensible thread of length L is moving in a verical circle. In the given case particle is moving in complete vertical circle and ratio of its maximum to minimum velocity is 2:1 . Velocity of the particle when it is moving certically downward is

A small particle of mass m attached with a light inextensible thread of length L is moving in a verical circle. In the given case particle is moving in complete vertical circle and ratio of its maximum to minimum velocity is 2:1 . Kinetic energy of the particle at the lower most position is