# 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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