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 distance l from the rigid support is

Answer 1

Dear student

$$\begin{gathered} 1)Letusdrawthefreebodydiagramofthelowerlength(L-l)oftherope. \\ LettensioninthispartoftheropeisT. \\ massperunitlengthoftheropeis=\frac{M}{L} \\ massofthelength(L-l)=\frac{M}{L}\times (L-l) \\ weightofthelowerpartofthisropewithmass\frac{M}{L}\times (L-l)=\frac{M}{L}\times (L-l)g \\ Nowthisweightofthelowerpartoftheropemustbebalancedbythetensionintheropeatthejunction. \\ T=\frac{M}{L}\times (L-l)g \\ Regards \end{gathered}$$