Analytical Mechanics Exam, Quizzes of Physics

Document Title: Contrôle continu 01 (30 min) Subject: Analytical Mechanics Year: 2024/2025 Course: Third-Year General Mechanics Institution: Tlemcen University, Faculty of Technology, Mechanical Engineering Department Assessment: Continuous Assessment 1 Exam Duration: 30 minutes Content: The exam focuses on the analysis of a simple pendulum system. Students are tasked with: * Deriving the equation of motion for a mass (m) attached to an inextensible string of length (L) oscillating in the plane (x, y). * Determining the force (F) exerted by the string on the mass. The exam requires students to demonstrate their understanding of two fundamental principles: * Newton's Laws of Motion: This approach involves applying Newton's second law (F = ma) to the system, considering the forces acting on the mass (gravity and tension). * D'Alembert's Principle: This approach recasts the problem of dynamics into a form resembling statics by introducing "inertial forces.