Question

7. 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 T of the
rope is increased gradually without changing its direction,
until the block losses contact the floor. The increase in rope
tension T is so gradual that acceleration in the block can beneglected.
a) Draw its free body diagram, well before the block losses contact with the floor.
(b) What is the necessary tension in the rope so that the block looses contact with the floor?
(c) What is the extension in the spring, when the block looses contact with the floor?
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Answer 1

a). ^ (B = block )

b). To lose contact, N = 0.

T sin@ + N = mg => T = mg/sin@

c). T cos@ = kx => mg cot@ = kx

=> x = mg cot@/ k

Answer 2

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Referred to the Image...