Two ladders are hanging from ands of a light rope passing over a light and smooth pulley. A monkey of mass 2m hangs near the bottom of one ladder whose mass is M-2m. Another monkey of mass m hangs near the bottom of the other ladder whose mass is M-m. The monkey of mass 2m moves up a distance l with respect to the ladder. The monkey of mass m moves up a distance l/2 with respect to the ladder. The displacement of centre of mass of the system is `(kml)/(4M)`. Find the value of k.

Answer

5