Physics

Oscillations and Simple Harmonic Motion

136 Questions

Oscillations and simple harmonic motion focus on amplitude, damped vibrations, and force equations. These physics principles are essential for various engineering and civil services examinations. Review these problems to understand the core mechanics of oscillating bodies.

Damped harmonic oscillationSHM amplitudeForce equationsForced oscillationVibratory motion concepts

Oscillations and Simple Harmonic Motion Questions

Multiple choice

The logarithmic decrement ($\delta$) of a damped harmonic oscillator is:

  1. $\ln\left(\frac{A_1}{A_2}\right)$
  2. $\ln\left(\frac{A_2}{A_1}\right)$
  3. $\ln\left(\frac{x_1}{x_2}\right)$
  4. $\ln\left(\frac{x_2}{x_1}\right)$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The logarithmic decrement ($\delta$) of a damped harmonic oscillator is defined as the natural logarithm of the ratio of two consecutive amplitudes, $\ln\left(\frac{A_1}{A_2}\right)$, where $A_1$ and $A_2$ are the amplitudes at two consecutive peaks.