Find velocity of ring when spring becomes horizontal

One end of a light spring of natural length d and spring constant k is fixed on a rigid wall and the other is attached to a smooth ring of mass m which can slide without friction on a vertical rod fixed at a distance d from the wall. Initially the spring makes an angle of 37^(@) with the horizontal as shown in fig. When the system is released from rest, find the speed of the ring when the spring becomes horizontal. [ sin 37^(@) = 3/5]

One end of a light spring of natural length 4m and spring constant 170 N/m is fixed on a rigid wall and the other is fixed to a smooth ring of mass (1)/(2) kg which can slide without friction in a verical rod fixed at a distance 4 m from the wall. Initially the spring makes an angle of 37^(@) with the horizontal as shown in figure. When the system is released from rest, find the speed of the ring when the spring becomes horizontal.

In a diagram shown, a rod of mass M has beed fixed on a ring of the same mass. The whole system has been placed on a perfectly rough surface. The system is gently displaced so that the ring starts rolling. The velocity of the centre of the ring when the rod becomes horizontal is (the length of the rod is equal to the radius of the ring)

A rod is released from the horizontal position as shown. It is free to rotate about hinge. Find angular velocity of rod when it become vertical?

A uniform rod of length L is placed with one end in contact with the horizontal and is then inclined at an angle alpha to the horizontal and allowed to fall without slipping at contact point. When it becomes horizontal, its angular velocity will be

A uniform rod of length 2L is placed with one end in contact with the horizontal and is then inclined at an angle a to the horizontal and allowed to fall without slipping at contact point. When it becomes horizontal, its angular velocity will be

Rain water is falling vertically downward with velocity v . When velocity of wind is u in horizontal direction, water is collected at the rate of R m^(3)//s . When velocity of wind becomes 2u in horizontal direction. The rate of collection of water in vessel is

A particle of mass 2m is connected by an inextensible string of length 1.2 m to a ring of mass m which is free to slide on a horizontal smooth rod. Initially the ring and the particle are at the same level with the string taut. Both are then released simultaneously. The distance in meter moved by the ring when the string becomes veritcal is :-

one end of a spring of naturla length ha and spring constant k is fixed at the ground and the other is fitted with a smooth ring of mass m which is alowed to slide on a horizontal rod fixed at a height h figure. Initialy, the spring makes an angle of 37^0 with the vertical when teh system is released from rest. find teh speed of the ring when teh spring becomes vertical.