Question: Given that 'a' is 4 and 'H' is 55. Would be a great help if laid out in a well understood way?? 8. Catenary is

Given that 'a' is 4 and 'H' is 55. Would be a great help if laid out in a well understood way??

Given that 'a' is 4 and 'H' is 55. Would be a

8. Catenary is the curve a hanging flexible wire or chain assumes when supported at its ends and acted upon by a uniform gravitational force. The word catenary is derived from the Latin word for "chain" Catenaries are used in the design of suspension bridges and arches. The equation of the catenary is y = a cosh -, where a is a parameter. Inverted catenary curves are used in construction of arches. The equation of the catenary arch can be written as: y - H - a cosh = where H and a are parameters. 13 The length L of a catenary arch of width b and height h can be found as L - 2a sinh 2a For a catenary arch given by equation (1), determine (a) the height h of the arch; (b) the width b of the arch; (c) the length L of the arch. (Hint: use the definition of cosh a to find the heigh and width of the arch.)

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