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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View SolutionWhat is a linear harmonic oscillator? And what is a non-linear oscillator?
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View Solution$A$ particle moves in the $x-y$ plane according to the equation $\overrightarrow{r} = (\widehat{i} + 2\widehat{j}) A \cos \omega t$. The motion of the particle is:
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View SolutionWhich of the following examples represent periodic motion?
$(a)$ $A$ swimmer completing one (return) trip from one bank of a river to the other and back.
$(b)$ $A$ freely suspended bar magnet displaced from its $N-S$ direction and released.
$(c)$ $A$ hydrogen molecule rotating about its centre of mass.
$(d)$ An arrow released from a bow.
$(a)$ $A$ swimmer completing one (return) trip from one bank of a river to the other and back.
$(b)$ $A$ freely suspended bar magnet displaced from its $N-S$ direction and released.
$(c)$ $A$ hydrogen molecule rotating about its centre of mass.
$(d)$ An arrow released from a bow.
Medium
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