A forced harmonic oscillator with mass m 0 300 kg and a circular frequency 6 283 s 1 (frequency 1 000 s 1 ) is exposed to an external force F 0 exp ( t) sin (t) with 7 540 s 1 and 0 500 s 1 Find the solution to its equation of motion Construct a graph of the motion for several values of F 0 ...

The solution to the complementary equation is z c b 1 co ...

A forced harmonic oscillator with mass m = 0.300 kg and a circular frequency = 6.283

Question:

A forced harmonic oscillator with mass m = 0.300 kg and a circular frequency ω = 6.283 s⁻¹ (frequency ν = 1.000 s⁻¹) is exposed to an external force F₀ exp (− βt) sin (αt) with α = 7.540 s⁻¹ and β = 0.500 s⁻¹. Find the solution to its equation of motion. Construct a graph of the motion for several values of F₀.

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