Energy in Simple Harmonic Motion definitions Flashcards
Energy in Simple Harmonic Motion definitions
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Simple Harmonic MotionA type of periodic motion where the restoring force is directly proportional to the displacement.Kinetic EnergyEnergy associated with the motion of an object, calculated as 1/2 mv^2.Elastic Potential EnergyEnergy stored in a spring when it is compressed or stretched, given by 1/2 kx^2.AmplitudeThe maximum displacement from the equilibrium position in harmonic motion.Equilibrium PointThe position where the net force on the mass is zero, and kinetic energy is maximized.Mechanical EnergyThe sum of kinetic and potential energy in a system, conserved in the absence of non-conservative forces.Spring ConstantA measure of a spring's stiffness, denoted by k, in Hooke's law.Velocity-Position RelationshipAn equation relating velocity to position in harmonic motion: v = sqrt((k/m) * (a^2 - x^2)).Maximum SpeedThe highest velocity reached by an object in harmonic motion, occurring at the equilibrium point.Conservation of EnergyA principle stating that total mechanical energy remains constant in an isolated system.DisplacementThe distance and direction from the equilibrium position in harmonic motion.Non-Conservative ForcesForces like friction that cause energy to be lost from a system, not present in ideal harmonic motion.Restoring ForceThe force that brings a system back to equilibrium, proportional to displacement in springs.Hooke's LawThe principle stating that the force exerted by a spring is proportional to its displacement.Total Mechanical EnergyThe constant energy in a system, sum of kinetic and potential energies, in harmonic motion.