Question Number 199181 by mr W last updated on 29/Oct/23
Commented by mr W last updated on 29/Oct/23
$${an}\:{uniform}\:{rope}\:{with}\:{length}\:\boldsymbol{{L}}\:{and} \\ $$$${unit}\:{mass}\:\boldsymbol{\rho}\:{is}\:{fixed}\:{at}\:{one}\:{end}\:{as} \\ $$$${shown}.\:{its}\:{other}\:{end}\:{is}\:{connected}\:{with} \\ $$$${a}\:{mass}\:{such}\:{that}\:{the}\:{rope}\:{and}\:{the} \\ $$$${mass}\:{are}\:{just}\:{in}\:{balance}\:{when}\:{the} \\ $$$${length}\:{of}\:{the}\:{vertical}\:{part}\:{of}\:{the}\:{rope} \\ $$$${is}\:\boldsymbol{{h}}.\:{then}\:{a}\:{variable}\:{force}\:{is}\: \\ $$$${maintained}\:{on}\:{the}\:{mass}\:{and}\:{pulls}\: \\ $$$${the}\:{mass}\:{slowly}\:{downwards}\:{by}\:{a}\: \\ $$$${distance}\:\boldsymbol{{s}}.\:{find}\:{the}\:{work}\:{done}\:{by}\:{this} \\ $$$${force}\:{and}\:{the}\:{maximum}\:{value}\:{of}\: \\ $$$${this}\:{force}. \\ $$$$\left({assume}\:{the}\:{pulley}\:{is}\:{frictionless}\:{and}\right. \\ $$$$\left.{b}+{h}+{s}\:<\:{L}\:\right) \\ $$