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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 L and  unit mass 𝛒 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 h. then a variable force is   maintained on the mass and pulls   the mass slowly downwards by a   distance s. find the work done by this  force and the maximum value of   this force.  (assume the pulley is frictionless and  b+h+s < L )

anuniformropewithlengthLandunitmassρisfixedatoneendasshown.itsotherendisconnectedwithamasssuchthattheropeandthemassarejustinbalancewhenthelengthoftheverticalpartoftheropeish.thenavariableforceismaintainedonthemassandpullsthemassslowlydownwardsbyadistances.findtheworkdonebythisforceandthemaximumvalueofthisforce.(assumethepulleyisfrictionlessandb+h+s<L)

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