A heavy block of mass M hangs in equilibrium at the end of a rope of mass m and length l connected to a ceiling . Determine the tension in the rope at a distance x from the ceiling ?
The Tension T is supporting
#M#of the block
that mass of the rope belonging to the length
#l - x#. Assuming even distribution of mass along the rope, that mass is #(l - x)/l m#
This we can say that