driven damped oscillator has k = 32.0 N/m, m = 0.5 kg and b = 1Ns/m. If F(t)=F0 cos ωt with F0 = 10N is the oscillator's driving force and ω= 2ω0 where ω0 is its natural frequency. Solve for the initial conditions x(t=0) = 2m and v(t=0) = 0 using a differential equation met

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Free Damped Vibrations

Free vibration is a type of vibration in which the external force is removed after giving the initial displacement to a body/system. In other words, in this type of vibration, force is applied at the initial displacement of the system, and after the initial displacement, force is removed, and the system vibrates at the natural frequency.