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Physics - SHM Question with Solution | TestHub

PhysicsSHMOscillations and SHMHard2 min

PhysicsHardnumerical

A particle of mass 1 kg has $U (x) = U_{0} (1 - e^{- a x^{2}})$ with $U_{0} = 2$ J and $a = 50$ m⁻². Find the angular frequency of small oscillations about $x = 0$ , in rad/s.

Answer:

14.10

Solution:

$U \approx U_{0} a x^{2} = \frac{1}{2} k_{e ff} x^{2}$ so $k_{e ff} = 2 U_{0} a = 200$ N/m. $ω = 200/1 = 14.1$ rad/s.

Subject:PhysicsTopic:SHMSubtopic:Oscillations and SHM

⏱ 2m

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