A ring of mass `m` can slide over a smooth vertical rod as shown in figure. The ring is connected to a spring of force constant `k = 4 mg//R`, where `2R` is the natural length of the spring . The other end of spring is fixed to the ground at a horizontal distance `2R` from base of the rod . If the mass is released at a height `1.5 J` then the velocity of the ring as it reaches the ground is

A ring of mass m can slide over a smooth vertical rod. The ring is connected to a spring of force constant K=(4mg)/R where 2R is the natural length of the spring. The other end spring is fixed to the ground at a horizontal distance 2R from the base of the rod. the mass is released at a height of 1.5 R from ground.

A ring of mass m can slide over a smooth vertical rod. The ring is connected to a spring of force constant K=(4mg)/R where 2R is the natural length of the spring. The other end spring is fixed to the ground at a horizontal distance 2R from the base of the rod. the mass is released at a height of 1.5 R from ground.

A ring of mass m can slide over a smooth vertical rod. The ring is connected to a spring of force constant K=(4mg)/R where 2R is the natural length of the spring. The other end spring is fixed to the ground at a horizontal distance 2R from the base of the rod. the mass is released at a height of 1.5 R from ground.

A ring of mass m is attached to a horizontal spring of spring constant k and natural length l_0 . The other end of the spring is fixed and the ring can slide on a horizontal rod as shown. Now the ring is shifted to position B and released Find the speed of the ring when the spring attains its natural length.

A ring of mass m=10kg can slide through a vertical rod with friction. It is connected with a spring of force constant k=100Nm^-1 . The relaxed length of spring is 4m . The ring is displaced 3m as shown in the figure and released. Find velocity of ring when spring becomes horizontal.

A ring of mass m=10kg can slide through a vertical rod with friction. It is connected with a spring of force constant k=100Nm^-1 . The relaxed length of spring is 4m . The ring is displaced 3m as shown in the figure and released. Find velocity of ring when spring becomes horizontal.

A bead of mass m can slide without friction on a fixed circular horizontal ring of radius 3R having a centre at the point C. The bead is attached to one of the ends of spring of spring constant k. Natural length of spring is R and the other end of the spring is R and the other end of the spring is fixed at point O as shown in the figure. If the bead is released from position A, then the kinetic energy of the bead when it reaches point B is

A bead of mass m can slide without friction on a fixed circular horizontal ring of radius 3R having a centre at the point C. The bead is attached to one of the ends of spring of spring constant k. Natural length of spring is R and the other end of the spring is R and the other end of the spring is fixed at point O as shown in the figure. If the bead is released from position A, then the kinetic energy of the bead when it reaches point B is

A bead of mass m can slide without friction along a vertical ring of radius R. One end of a spring of force constant k=(3mg)/(R ) is connected to the bead and the other end is fixed at the centre of the ring. Initially, the bead is at the point A and due to a small push it starts sliding down the ring. If the bead momentarily loses contact with the ring at the instant when the spring makes an angle 60^(@) with the vertical, then the natural length of the spring is