Class 11PhysicsOscillationsPeriodic, Oscillatory motion and its characteristics and types of SHM and Equation of SHM
MediumWhat is a linear harmonic oscillator? And what is a non-linear oscillator?
(N/A) linear harmonic oscillator is a system where the restoring force $F$ acting on a particle is directly proportional to its displacement $x$ from the equilibrium position,expressed as $F = -kx$,where $k$ is a constant.
In a non-linear oscillator,the restoring force is not strictly proportional to the displacement. It may contain higher-order terms of the displacement,such as $x^2, x^3, \dots$,meaning the force is expressed as $F = -kx - ax^2 - bx^3 - \dots$. These systems do not follow simple harmonic motion.
In a non-linear oscillator,the restoring force is not strictly proportional to the displacement. It may contain higher-order terms of the displacement,such as $x^2, x^3, \dots$,meaning the force is expressed as $F = -kx - ax^2 - bx^3 - \dots$. These systems do not follow simple harmonic motion.
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Similar Questions
$A$ particle executes simple harmonic motion according to the equation $4 \frac{d^2 x}{d t^2} + 320 x = 0$. Its time period of oscillation is .........
Medium
View SolutionThe displacement of a particle from its mean position (in metre) is given by
$y = 0.2 \sin (10 \pi t + 1.5 \pi) \cos (10 \pi t + 1.5 \pi)$
The motion of the particle is
$y = 0.2 \sin (10 \pi t + 1.5 \pi) \cos (10 \pi t + 1.5 \pi)$
The motion of the particle is
Medium
View SolutionWrite the difference between oscillations and vibrations.
Medium
View SolutionFill in the blanks:
$1.$ In $SHM$,......... quantities are always positive.
$2.$ $A$ periodic motion that obeys the force law ......... is only a simple harmonic motion.
$3.$ $A$ $SHO$ with a periodic time of $2 \ s$ starts its oscillation from the lower end of its path of motion; its phase will be .......... at time $t = 2 \ s$.
$1.$ In $SHM$,......... quantities are always positive.
$2.$ $A$ periodic motion that obeys the force law ......... is only a simple harmonic motion.
$3.$ $A$ $SHO$ with a periodic time of $2 \ s$ starts its oscillation from the lower end of its path of motion; its phase will be .......... at time $t = 2 \ s$.
Medium
View SolutionFor a particle performing $S.H.M.$,the equation is $\frac{d^2 x}{dt^2} + \alpha x = 0$. Then the time period of the motion will be
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