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Physics - SHM Question with Solution | TestHub

PhysicsSHMOscillations and SHMMedium2 min

PhysicsMediumsingle choice

A 4 kg particle moves along the $x$ -axis under $F = - \frac{π ^{2}}{16} x$ N. At $t = 2$ s the particle passes through the origin and at $t = 10$ s its speed is $42$ m/s. The amplitude of the motion is:

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Answer:

Solution:

$ω = k / m = π /8$ rad/s. From $t = 2$ to $t = 10$ : $ω Δ t = π$ , so the particle is again at the origin and its speed is $A ω = 42$ . $A = 42 \times 8/ π = 322 / π$ m.

Subject:PhysicsTopic:SHMSubtopic:Oscillations and SHM

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