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AP EAMCET · PHYSICS · Oscillations

A simple harmonic oscillation is represented by \(x=A \cos \left(\omega t+\frac{\pi}{4}\right)\). Its speed is maximum when \(t\) equals

  1. A \(\frac{\pi}{2 \omega}\)
  2. B \(\frac{\pi}{4 \omega}\)
  3. C \(\frac{\pi}{\omega}\)
  4. D \(\frac{2 \pi}{\omega}\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(\frac{\pi}{4 \omega}\)

Step-by-step Solution

Detailed explanation

Given that, equation of a particle executing Simple harmonic motion is \[ x=A \cos \left(\omega t+\frac{\pi}{4}\right) \] Now, velocity of particle, \(v=\frac{d x}{d t}\)…