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Physics - SHM Question with Solution | TestHub

PhysicsSHMOscillations and SHMMedium2 min

PhysicsMediumsingle choice

A particle of mass $m$ is attached to a spring (constant $k$ ) with natural angular frequency $ω_{0}$ . An external force $F (t)$ proportional to $cos ω t$ ( $ω \neq = ω_{0}$ ) is applied. The time displacement of the oscillator will be proportional to:

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Answer:

Solution:

$m \overset{x}{¨} + k x = F_{0} cos ω t$ . The steady solution $x = X cos ω t$ gives $X = \frac{F _{0}}{m ( ω _{0}^{2} - ω ^{2} )}$ .

Subject:PhysicsTopic:SHMSubtopic:Oscillations and SHM

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