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A Mathe Methods PSMT on how gravity affects a chain to make a catenary curve and how lines can be modeled to the curve.
15 Pages • Essays / Projects • Year Uploaded: 2022
The motivation behind this critical thinking, modelling and problem-solving task is to investigate mathematical functions, identify formulas and equations using a practical application of a hanging chain. Digital graphing software as well as mathematical process will be utilized to determine equations to be solved. The most feasible polynomials will be selected, being tested by considering the correlation coefficient, residual analysis and visual analysis, especially where different polynomials overlap. Specifically, a piecewise function will be modelled around a free hanging chain with length of 42 cm with the ends 15 cm apart with the left side 4 cm higher than the right.
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