A chain fixed at its ends and subject to uniform gravitational force hangs in the shape...

A chain fixed at its ends and subject to uniform gravitational force hangs in the shape of a catenary curve. A parameterization for this curve is r(t)= <t, a cosh t/a +b> Where a and b are constants. You have a 12 ft chain and hang it with its ends on hooks at (-5,10) and (5,10). Find the values for a and b that describe the resulting curve. What is the height of the lowest point of the chain?

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genius_generous answered 1 year ago

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A chain fixed at its ends and subject to uniform gravitational force hangs in the shape...

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