Consider a driven damped oscillator with k = 32.0 N/m, m = 0.5 kg and b = 1Ns/m. The driving force is F(t)=F0 cos ωt with F0 = 10N and ω= 2ω0 where ω0 is the natural frequency of the oscillator. Find the solution with initial conditions x(t=0) = 2m and v(t=0) = 0. (Use the symbols to solve the problem and plug in the numbers at the end of your calculation. You need to solve a differential equation instead of using the result for the driven damped harmonic oscillator.

Consider a driven damped oscillator with k = 32.0 N/m, m = 0.5 kg and b = 1Ns/m. The driving force is F(t)=F0 cos ωt with F0 = 10N and ω= 2ω0 where ω0 is the natural frequency of the oscillator. Find the solution with initial conditions x(t=0) = 2m and v(t=0) = 0. (Use the symbols to solve the problem and plug in the numbers at the end of your calculation. You need to solve a differential equation instead of using the result for the driven damped harmonic oscillator.

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Question

Consider a driven damped oscillator with k = 32.0 N/m, m = 0.5 kg and b = 1Ns/m. The driving force is F(t)=F0 cos ωt with F0 = 10N and ω= 2ω0 where ω0 is the natural frequency of the oscillator. Find the solution with initial conditions x(t=0) = 2m and v(t=0) = 0. (Use the symbols to solve the problem and plug in the numbers at the end of your calculation. You need to solve a differential equation instead of using the result for the driven damped harmonic oscillator.

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