Class 11PhysicsOscillationsPeriodic, Oscillatory motion and its characteristics and types of SHM and Equation of SHM
DifficultDefine simple harmonic motion and explain it.
(N/A) Simple Harmonic Motion $(SHM)$: The periodic motion about a fixed point on a linear path under the influence of a restoring force that acts towards the fixed point and is directly proportional to the displacement of the body from that fixed point is called Simple Harmonic Motion.
Alternatively,simple harmonic motion is a periodic motion in which the displacement is a sinusoidal function of time.
In an oscillatory motion,a restoring force is exerted towards the mean position from any point. Therefore,in simple harmonic motion,the displacement $x$ of a particle from the origin varies with time $t$ as:
$x(t) = A \cos (\omega t + \phi)$
where $A$ is the amplitude,$\omega$ is the angular frequency,and $\phi$ is the initial phase constant.
The figure shows a particle oscillating back and forth about the origin of an $X$-axis between the limits $+A$ and $-A$.
Alternatively,simple harmonic motion is a periodic motion in which the displacement is a sinusoidal function of time.
In an oscillatory motion,a restoring force is exerted towards the mean position from any point. Therefore,in simple harmonic motion,the displacement $x$ of a particle from the origin varies with time $t$ as:
$x(t) = A \cos (\omega t + \phi)$
where $A$ is the amplitude,$\omega$ is the angular frequency,and $\phi$ is the initial phase constant.
The figure shows a particle oscillating back and forth about the origin of an $X$-axis between the limits $+A$ and $-A$.
Explore More
Similar Questions
The mass of a particle is $1\,kg$ and it is moving along the $x-$axis. The period of its small oscillation is $\frac{\pi}{2}$. Its potential energy may be:
Difficult
View SolutionThe displacement of a particle varies according to the relation $x = 3 \sin 100t + 8 \cos^2 50t$. Which of the following is incorrect about this motion?
Medium
View Solution$A$ particle is executing simple harmonic motion with an instantaneous displacement $x = A \sin^2(\omega t - \frac{\pi}{4})$. The time period of oscillation of the particle is
Which one of the following equations of motion represents simple harmonic motion? (Where $k, k_0, k_1$ and $a$ are all positive constants)
The motion of a particle executing simple harmonic motion is described by the displacement function,$x(t) = A \cos (\omega t + \phi)$. If the initial $(t = 0)$ position of the particle is $1 \; cm$ and its initial velocity is $\omega \; cm/s$,what are its amplitude and initial phase angle? The angular frequency of the particle is $\pi \; s^{-1}$. If instead of the cosine function,we choose the sine function to describe the $SHM$: $x = B \sin (\omega t + \alpha)$,what are the amplitude and initial phase of the particle with the above initial conditions?
Difficult
View SolutionVedclass Products
For Students
Vedclass Test Series
Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.
Start Free TrialFor Teachers
Exam Paper Generator
Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.
Try FreeFor Institutes
Online Exam Module
Live online exams with unlimited students, 360° analytics & white-label branding.
See Demo