Pulley From The Other World

A block of mass \(2 \text{kg}\) is to be lifted with constant velocity by applying force \(F\) down the rope that passes over a pulley having coefficient of friction \(\mu\) w.r.t. the rope. If the pull required for this (in Newtons) is \(X\), evaluate \(\lfloor{X}\rfloor\).

Details and Assumptions
1) The pulley and rope are massless.
2) \(\mu=2\)
3) Take \(g=10 ms^{-1}\).
4) The force is applied vertically downwards.
5) \(\lfloor.\rfloor\) denotes the Greatest Integer Function.


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