`A` and `B` are smooth light hinges equidistant from `C`, which can slides on `ABC`. The spring of force constant `K` is fixed at its one end `C` and conncented to light rods `AD` and `BD` at point `D`. A block of mass `m` is suspended at `D`. Find the velocity of the block, when `/_ CAD` changes from `30^@` to `45^@. AD = BD = L`.
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A spring of force constant K rests on a smooth floor, with one end fixed to a wall. A block of mass m hits the free end of the spring with velocity v. The maximum force exerted by the spring on the wall is

Rod AO_(3) of length L can rotate abput A . Initially rod was at position AO_(2) , when spring OB of force constant K , attached to block B of mass m was at position OA with unstretched length L . The smooth block B can slide on rod when pulled by the block D of mass m through a massless spring and smooth pulley at O_(1) . Find the velocity of the block B , when the rod and spring at B make an angle of 30^@ with their respective initial positions : ( B is the middle point of the block) .

An ideal spring of spring constant k, is suspended from the ceiling of a room and a blok of mass m is fastened to its lower end. If the block is released when the spring is un-stretched, then then maximum extension in the spring is :

An ideal spring of spring constant k, is suspended from the ceiling of a room and a blok of mass m is fastened to its lower end. If the block is released when the spring is un-stretched, then then maximum extension in the spring is :

Two blocks A and B of mass m and 2m respectively are connected by a light spring of force constant k. They are placed on a smooth horizontal surface. Spring is stretched by a length x and then released. Find the relative velocity of the blocks when the spring comes to its natural length

Two blocks A and B of mass m and 2m respectively are connected by a light spring of force constant k. They are placed on a smooth horizontal surface. Spring is stretched by a length x and then released. Find the relative velocity of the blocks when the spring comes to its natural length