ABSTRACT
The Study explains how a computer can calculate the parameters of a power cable suspended over a road and many other interesting things related to the catenary function. Furthermore, electrical circuits, spotlights and lenses are be examined. The Study introduces and discusses a new type of equation—a software equation, which is formed by means of programming.
Mathematics: Exponent, hyperbolic sine and cosine, catenary function, derivative, parabola, catenoid, curve length, arc length, Taylor series expansion, Fourier series expansion, linear algebraic equations system (SLAE), matrix rank, Kronecker-Capelli theorem, the limit, the sinusoid, the base of the natural logarithm.
Physics: Arch of maximum strength, friction of a rope with a bollard, a rope suspended over a bridge, aerial ropeway, balance of forces and of moments of forces, center of mass, square wheel, kinematics of the bicycle, electrical circuit, Ohm’s law, electromotive force, law of light reflection, Snell’s law.
IT: Numerical and analytical solution of algebraic and differential equations and their systems, flat and three-dimensional computer graphics, programming equation, computer animation, programming, cycle with parameter, debugging of computer calculations.
Art: The Arch in St. Louis.
Study website: https://community.ptc.com/t5/PTC-Mathcad/Catenary-Physic-Math-IT/m-p/494899" xmlns:xlink="https://www.w3.org/1999/xlink">https://community.ptc.com/t5/PTC-Mathcad/Catenary-Physic-Math-IT/m-p/494899.
