Lifting Rope.
Classical Mechanics
Level
3
A rope of length \(l\) and mass density \(\lambda\) lies in a heap on a floor. You grab one end of the rope and pull upward with a non-impulsive constant force \({ F }_{ o }\). Find the time period require to completely lift off the rope.
Assume that the rope is greased.
The answer is in the form \(\displaystyle{{ T=\cfrac { a }{ g } (\sqrt { \cfrac { { F }_{ o } }{ \lambda } } -\sqrt { \cfrac { { F }_{ o } }{ \lambda } -\cfrac { bgl }{ c } } })}\)
Find \(a+b+c\)
I got this question from Deepanshu.
:D
by
satvik pandey