MET 601 Computational Techniques & Programming Exam 2025

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MET 601: First Semester Examination, University of Buea, College of Technology, Department of Mechanical Engineering, Instructor Dr. Megam Elie, February 2025: Exercise 1, eight lecture-recall questions on the aims of computational techniques, methods for linear systems, the Gaussian Elimination algorithm, the tridiagonal/LU-decomposition algorithm, and the fixed-point, Newton and secant methods with their error expressions; Exercise 2, finding the equilibrium junction positions of six springs of given stiffness and natural length connected in series and stretched to a fixed total span; Exercise 3, deriving the equations of motion and small-oscillation normal-mode frequencies of two torsionally-coupled pendulums, forming the dynamic-matrix eigenvalue polynomial, and solving it numerically via Newton's method from a given initial guess.