Oscillations



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Contents

Simple Harmonic Motion


Description: Simple harmonic motion is repetitive oscillation around an equilibrium position, governed by Hooke's law.


Linear S.H.M & D.E.of Linear S.H.M


Description: Linear simple harmonic motion (SHM) is oscillation along a straight path, described by differential equations.


Acceleration (a), Velocity (v) and Displacement (x) of S.H.M.


Description: In SHM, acceleration is proportional to displacement, velocity is maximum at equilibrium, and displacement varies sinusoidally.


Extreme values of displacement (x), velocity (v) and acceleration (a)


Description: In SHM, displacement peaks at maximum values, velocity is maximum at equilibrium, and acceleration peaks at extremes.


Graphical representation of Extreme Position


Description: Graphical representation of extreme positions shows maximum displacement peaks with zero velocity and maximum acceleration.


Energy of a Particle Performing S.H.M


Description: Energy in SHM consists of kinetic and potential energy, with total energy constant throughout oscillation.


Law's of Simple Pendulum


Description: The laws of a simple pendulum state its period depends on length and gravity, not mass.


Forced Oscillations and Resonance


Description: Forced oscillations occur when external force drives a system, while resonance amplifies oscillations at natural frequency.


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