Mг©canique — 1re Annг©e Mpsi-pcsi-ptsi

: Studying motion without considering its causes. This includes using different coordinate systems such as Cartesian , Cylindrical (polar), and Spherical .

: Introduction to systems of points and the rotation of a solid around a fixed axis. Sample Exam Problem: Oscillations of a Particle Problem Statement : A particle is attached to a fixed point by a spring with stiffness and natural length MГ©canique 1re annГ©e MPSI-PCSI-PTSI

Em=Ec+Ep=12mẋ2+12k(x−l0)2cap E sub m equals cap E sub c plus cap E sub p equals one-half m x dot squared plus one-half k open paren x minus l sub 0 close paren squared : Studying motion without considering its causes

) to the particle in the horizontal direction. The only horizontal force is the spring force, Sample Exam Problem: Oscillations of a Particle Problem

md2xdt2=−k(x−l0)m d squared x over d t squared end-fraction equals negative k open paren x minus l sub 0 close paren By defining (displacement from equilibrium) and , we get the standard harmonic oscillator equation:

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