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Question Number 46430 by MrW3 last updated on 26/Oct/18

Commented by MrW3 last updated on 27/Oct/18

maybe we should at first forget the  length of the rope ring. the question  is just if the rope can rest in a inclined  position on the surface of cone.

maybeweshouldatfirstforgetthelengthoftheropering.thequestionisjustiftheropecanrestinainclinedpositiononthesurfaceofcone.

Commented by MrW3 last updated on 26/Oct/18

a rope ring of length L is placed on  the surface of a cone and rests on it. all  surfaces are frictionless. the mass  of rope is ρ per unit length.  we know the ring can rest in a horizontal  position (red). but are there any other  positions possible like the blue one?  what is the max. tension in rope?

aroperingoflengthLisplacedonthesurfaceofaconeandrestsonit.allsurfacesarefrictionless.themassofropeisρperunitlength.weknowtheringcanrestinahorizontalposition(red).butarethereanyotherpositionspossibleliketheblueone?whatisthemax.tensioninrope?

Commented by ajfour last updated on 26/Oct/18

Isn′t the blue one an ellipse, Sir?  tough question Sir!

Isnttheblueoneanellipse,Sir?toughquestionSir!

Commented by MrW3 last updated on 26/Oct/18

yes. I think it must be an ellipse.

yes.Ithinkitmustbeanellipse.

Commented by MJS last updated on 26/Oct/18

we can′t exactly calculate the perimeter of  an ellipse...

wecantexactlycalculatetheperimeterofanellipse...

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