Class 11PhysicsOscillationsPeriodic, Oscillatory motion and its characteristics and types of SHM and Equation of SHM
EasyWhat is oscillatory motion? Give its examples.
(N/A) If a body moves to and fro,back and forth,or up and down about a fixed point in a definite interval of time,such a motion is called an oscillatory motion.
For example:
$(1)$ $A$ ball placed in a bowl will be in equilibrium at the bottom. If displaced a little from this point,it will perform oscillations in the bowl.
$(2)$ The motion of the pendulum of a wall clock is an oscillatory motion.
$(3)$ The motion of a loaded spring,when the load attached to the spring is pulled once a little from its mean position and released.
Every oscillatory motion is periodic,but every periodic motion need not be oscillatory.
Restoring force is produced in such type of motion; hence,no external force is constantly needed for the continuation of this motion. Such type of motion is also known as harmonic motion.
For example:
$(1)$ $A$ ball placed in a bowl will be in equilibrium at the bottom. If displaced a little from this point,it will perform oscillations in the bowl.
$(2)$ The motion of the pendulum of a wall clock is an oscillatory motion.
$(3)$ The motion of a loaded spring,when the load attached to the spring is pulled once a little from its mean position and released.
Every oscillatory motion is periodic,but every periodic motion need not be oscillatory.
Restoring force is produced in such type of motion; hence,no external force is constantly needed for the continuation of this motion. Such type of motion is also known as harmonic motion.
Explore More
Similar Questions
Match the following functions with their corresponding nature of motion, where $\omega$ is a constant:
List-$I$
List-$II$
$A$. $\sin^2 \omega t$
$I$. Periodic but not $SHM$ $(T = 2\pi/\omega)$
$B$. $\sin^3 \omega t$
$II$. Periodic but not $SHM$ $(T = \pi/\omega)$
$C$. $\sin \omega t + \cos \pi \omega t$
$III$. Non-periodic
$D$. $\cos \omega t + \cos 2\omega t$
$IV$. Periodic but not $SHM$ $(T = 2\pi/\omega)$
| List-$I$ | List-$II$ |
| $A$. $\sin^2 \omega t$ | $I$. Periodic but not $SHM$ $(T = 2\pi/\omega)$ |
| $B$. $\sin^3 \omega t$ | $II$. Periodic but not $SHM$ $(T = \pi/\omega)$ |
| $C$. $\sin \omega t + \cos \pi \omega t$ | $III$. Non-periodic |
| $D$. $\cos \omega t + \cos 2\omega t$ | $IV$. Periodic but not $SHM$ $(T = 2\pi/\omega)$ |
DifficultJEE MAIN 2026
View SolutionIf displacement $x$ and velocity $v$ are related as $4v^2 = 25 - x^2$ in a $SHM$. Then the time period of the given $SHM$ is (Consider $SI$ units).
Medium
View SolutionThe periodic time of $SHM$ is also measured by $T = 2 \pi \sqrt{\frac{\text{displacement}}{\text{acceleration}}}$. Can we say that the time period depends on the displacement?
Easy
View Solution$A$ particle executes simple harmonic motion with an amplitude '$A$'. The distance travelled by it in one periodic time is
$A$ particle performs $SHM$ with a period $T$ and amplitude $a.$ The mean velocity of the particle over the time interval during which it travels a distance $a/2$ from the extreme position is
Vedclass 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