Pulley From The Other World

A block of mass 2kg2 \text{kg} is to be lifted with constant velocity by applying force FF down the rope that passes over a pulley having coefficient of friction μ\mu w.r.t. the rope. If the pull required for this (in Newtons) is XX, evaluate X\lfloor{X}\rfloor.

Details and Assumptions
1) The pulley and rope are massless.
2) μ=2\mu=2
3) Take g=10ms1g=10 ms^{-1}.
4) The force is applied vertically downwards.
5) .\lfloor.\rfloor denotes the Greatest Integer Function.


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