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MHT CET 2024 (2 May, Shift 1) · Damped, Forced Oscillations & Superposition

Damped, Forced Oscillations & Superposition question from MHT CET 2024 (2 May, Shift 1)

Q3MHT CET 2024 · 2 MAY · SHIFT 1Easy

Damped, Forced Oscillations & Superposition

A particle is performing simple harmonic motion and if the oscillations are damped oscillations then the angular frequency is given by

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Answer: (c)

Damped motion $x = Ae^{-bt/2m}\cos(\omega' t + \phi)$ with $\omega'^2 = \omega_0^2 - \left(\frac{b}{2m}\right)^2$ .
$\omega' = \sqrt{\frac{k}{m} - \left(\frac{b}{2m}\right)^2}$ , answer (c).

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