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z = -H/g (cosh (gx/H)-1) where z = vertical distance

H = Horizontal component of cable force

g = weight of cable / unit of lenght

x = horizontal distance and dz/dx = -sinh(gx/H) V = - H sinh(gx/H) where V = vertical component of cable force N = H - gz where N = tension force in the cable

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16y ago
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1d ago

The formula for calculating the equation of a catenary curve is y = a*cosh(x/a), where y is the height, x is the horizontal distance, and a is a constant that affects the shape of the curve. The catenary curve is the shape that a hanging flexible chain or cable adopts when supported only at its ends.

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