Define displacement variable and periodic function.

Vedclass pdf generator app on play store
Vedclass iOS app on app store
(N/A) $1$. Displacement Variable: In the context of oscillatory motion,the displacement variable represents the change in position of an object from its mean (equilibrium) position at any given time $t$. It is typically denoted by $x(t)$ or $y(t)$.
$2$. Periodic Function: $A$ function is called periodic if it repeats its values at regular intervals of time. Mathematically,a function $f(t)$ is periodic if $f(t + T) = f(t)$ for all $t$,where $T$ is a positive constant known as the time period of the function.

Explore More

Similar Questions

What provides the restoring force in the following cases?
$(1)$ Compressed spring.
$(2)$ Displacement of water in a $U$-tube.
$(3)$ Displacement of a pendulum bob from its mean position.

The displacement of a particle varies with time according to the relation $x = a \sin \omega t + b \cos \omega t$.

The equation of motion of a particle is $\frac{d^2y}{dt^2} + Ky = 0$,where $K$ is a positive constant. The time period of the motion is given by

Define simple harmonic motion and write its important characteristics.

$A$ particle is performing $SHM$ according to the equation $x = (3\, cm) \sin \left( \frac{2\pi t}{18} + \frac{\pi}{6} \right)$ where $t$ is in seconds. The distance travelled by the particle in $36\, s$ is ..... $cm$.

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo