The velocity v of a particle of mass m on a straight line changes with time as d t 2 d 2 v = − K v , K a positive constant. Which is correct?

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PhysicsSHMOscillations and SHMMedium2 min

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The velocity $v$ of a particle of mass $m$ on a straight line changes with time as $\frac{d ^{2} v}{d t ^{2}} = - K v$ , $K$ a positive constant. Which is correct?

Options:

Answer:

Solution:

$\overset{v}{¨} = - K v$ is the SHM equation for $v$ with $ω = K$ , frequency $K /2 π$ , and so $x$ also oscillates with this frequency.

Subject:PhysicsTopic:SHMSubtopic:Oscillations and SHM

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