A block of mass m placed on a smooth floor is connected to a fixed support with the help of a spring of force constant k. It is pulled by a rope as shown in the figure. Tension force T of the rope is increased gradually without changing its direction, until the block losses contact from the floor. The increase in rope tension T is so gradual that acceleration in the block can be neglected.
(a) Well before the block loses contact from the floor, draw its free body diagram.
(b) What is the necessary tension in the rope so that the block loses contact from the floor?
(c) What is the extension in the spring, when the block loses contact with the floor?