A block of mass M is placed on top of a hole in a horizontal table. A spring of force constant k is connected to the block through the hole. The other end of the massless spring has a particle of mass m connected to it. With what maximum amplitude can the particle oscillate up and down such that the block does not lose contact with the table?

A block of mass M is kept on a rough horizontal surface and is attached with massless spring of force constant k .The minimum constant force applied on the other end of the spring to lift the block is

A block of mass m is kept on a rough horizontal surface and is attached with a massless spring of force constant k. The minimum constant force applied on the other end of the spring of lift the block is

A block of mass m is placed on a frictionless horizontal table. Consider a spring of spring constant K whose one end is connected to the block and the other end is connected to a fixed support in such a manner that spring remains horizontal. A positive charge q is given to the block. Suddenly an electric field of magnitude E is switched on in horizontal direction that is in the direction away from the fixed support. What will be the maximum possible elongation of the spring after electric field is switched on?

A block of mass m is connected to another .block of mass M by a massless spring of spring constant k. A constant force f starts action as shown in figure, then:

A block of mass m is connected to another .block of mass M by a massless spring of spring constant k. A constant force f starts action as shown in figure, then:

A spring of force constant k is cut into two parts whose lengths are in the ratio 1:2 . The two parts are now connected in parallel and a block of mass m is suspended at the end of the combined spring. The period of oscillation of block is

A block A of mass m_(1) is placed on a horizontal frictionless table. It is connected to one end of a light spring of force constant k whose other end is fixed to a wall. A small block B of mass m_(2) is placed on block A. The coefficient of static friction between the blocks is mu . The system is displaced slightly from its equilibrium position and released. What is the maximum amplitude of the resulting simple harmonic motion of the system so that the upper block does not slip over the lower block ?