Question

A uniform rope of mass $M$ and length $L$ is fixed at its upper end vertically from a rigid support. Then the tension in the rope at the distance $l$ from the rigid support is

Answer 1

Free body diagram of IMAGE $01$ is shown in IMAGE $02$

$T=M_{2}g$

But, $M_2=\frac{M}{L}(L-l)$

$T=\frac{M}{L}(L-l)g$

$T=\frac{Mg(L-l)}{L}$