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JEE Main 2022 (28 Jun, Shift 1) · Damped, Forced Oscillations & Superposition

Damped, Forced Oscillations & Superposition question from JEE Main 2022 (28 Jun, Shift 1)

Q5JEE Main 2022 · 28 JUN · SHIFT 1Easy

Damped, Forced Oscillations & Superposition

Motion of a particle in x-y plane is described by a set of following equations x=4sin⁡(π2−ωt) mx = 4\sin\left(\frac{\pi}{2}-\omega t\right)\text{ m} and y=4sin⁡(ωt) my = 4\sin(\omega t)\text{ m}. The path of the particle will be:

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Answer: (a)

  1. x=4sin⁡(π2−ωt)=4cos⁡ωtx = 4\sin\left(\frac{\pi}{2} - \omega t\right) = 4\cos\omega t, y=4sin⁡ωty = 4\sin\omega t.
  2. x2+y2=16x^2 + y^2 = 16: a circle of radius 4 m, answer (a).
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