Class 11PhysicsOscillationsDifferent types of oscillations (Free, Damped, Forced Oscillation and Resonance)
Medium$A$ particle of mass $m$ is attached to a spring (of spring constant $k$) and has a natural angular frequency $\omega_0$. An external force $F(t)$ proportional to $\cos \omega t$ (where $\omega \neq \omega_0$) is applied to the oscillator. The displacement of the oscillator will be proportional to:
- A$\frac{m}{\omega_0^2 - \omega^2}$
- B$\frac{1}{m(\omega_0^2 - \omega^2)}$
- C$\frac{1}{m(\omega_0^2 + \omega^2)}$
- D$\frac{m}{\omega_0^2 + \omega^2}$
Explore More
Similar Questions
$A$ simple harmonic oscillator of angular frequency $\omega = 2 \, rad \, s^{-1}$ is acted upon by an external force $F = \sin(t) \, N$. If the oscillator is at rest in its equilibrium position at $t = 0$,its position at later times is proportional to
DifficultJEE MAIN 2015
View SolutionDerive the differential equation for damped oscillations and write its solution.
Medium
View SolutionThe amplitude of a damped oscillator becomes $\left(\frac{1}{3}\right)$ of its original amplitude in $2 \ s$. If its amplitude after $6 \ s$ becomes $\left(\frac{1}{n}\right)$ times the original amplitude,the value of $n$ is ($n$ is a non-zero integer).
The displacement of a damped oscillator is $x(t) = \exp(-0.2 t) \cos(3.2 t + \Phi)$,where $t$ is time in seconds. The time required for the amplitude of the oscillator to become $\frac{1}{e^{1.2}}$ times its initial amplitude is (in $s$)
The amplitude of a wave is represented by $A = \frac{c}{a + b - c}$. Resonance will occur when:
Medium
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