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An-elastic-material-has-a-length-of-36cm-when-a-load-of-40N-is-hung-on-it-and-a-length-of-45cm-when-a-load-of-60N-is-hung-on-it-what-is-the-Original-length-of-the-string-




Question Number 18666 by tawa tawa last updated on 26/Jul/17
An elastic material has a length of  36cm when a load of 40N is hung on it and  a length of 45cm when a load of 60N is hung on it. what is the Original   length of the string ?
Anelasticmaterialhasalengthof36cmwhenaloadof40Nishungonitandalengthof45cmwhenaloadof60Nishungonit.whatistheOriginallengthofthestring?
Answered by mrW1 last updated on 27/Jul/17
36−((45−36)/(60−40))×40=18 cm
3645366040×40=18cm
Commented by tawa tawa last updated on 27/Jul/17
God bless you sir.
Godblessyousir.
Commented by tawa tawa last updated on 27/Jul/17
Any formular sir ?
Anyformularsir?
Commented by mrW1 last updated on 27/Jul/17
x=length without load  k=elongation for unit load  36−x=40k   ...(i)  45−x=60k   ...(ii)  (i)/(ii):  ((36−x)/(45−x))=((40)/(60))  36×60−60x=45×40−40x  (60−40)x=36×60−45×40  x=((36×60−45×40)/(60−40))=18
x=lengthwithoutloadk=elongationforunitload36x=40k(i)45x=60k(ii)(i)/(ii):36x45x=406036×6060x=45×4040x(6040)x=36×6045×40x=36×6045×406040=18
Commented by mrW1 last updated on 27/Jul/17
or solution without equation:  load from 40 to 60:  length from 36 to 45.  ⇒elongation for unit load:  ((45−36)/(60−40))    ⇒elongation for load= 40 is  ((45−36)/(60−40))×40    ⇒length at load =0 is  36−((45−36)/(60−40))×40=18 cm
orsolutionwithoutequation:loadfrom40to60:lengthfrom36to45.elongationforunitload:45366040elongationforload=40is45366040×40lengthatload=0is3645366040×40=18cm
Commented by tawa tawa last updated on 27/Jul/17
Wow, God bless you sir.
Wow,Godblessyousir.

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