Class 11PhysicsOscillationsPeriodic, Oscillatory motion and its characteristics and types of SHM and Equation of SHM
EasyWhat is a linear harmonic oscillator and a non-linear harmonic oscillator?
(N/A) linear harmonic oscillator is a system where the restoring force $F$ is directly proportional to the displacement $x$ from the equilibrium position,i.e.,$F = -kx$,where $k$ is the force constant. The motion of such an oscillator is simple harmonic motion $(SHM)$.
$A$ non-linear harmonic oscillator is a system where the restoring force $F$ is not proportional to the displacement $x$. In such cases,the force can be expressed as a non-linear function of displacement,such as $F = -kx - ax^3$ or other higher-order terms. Consequently,the motion of a non-linear oscillator is not simple harmonic motion.
$A$ non-linear harmonic oscillator is a system where the restoring force $F$ is not proportional to the displacement $x$. In such cases,the force can be expressed as a non-linear function of displacement,such as $F = -kx - ax^3$ or other higher-order terms. Consequently,the motion of a non-linear oscillator is not simple harmonic motion.
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