Question: (1) (15 points) Let your domain be [0,1]. Take a uniform chain of density p and length L > 1, fixed at its ends at

(1) (15 points) Let your domain be [0,1]. Take a uniform

(1) (15 points) Let your domain be [0,1]. Take a uniform chain of density p and length L > 1, fixed at its ends at r = 0 and x = 1, and let free in the middle. Using tools from calculus of variations, find the optimal shape that the chain will take, under the influence of gravity. = (1) (15 points) Let your domain be [0,1]. Take a uniform chain of density p and length L > 1, fixed at its ends at r = 0 and x = 1, and let free in the middle. Using tools from calculus of variations, find the optimal shape that the chain will take, under the influence of gravity. =

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