Consider a mass-spring-dashpot system with mass 5kg, a spring which is stretched 3 meters by a...

Consider a mass-spring-dashpot system with mass 5kg, a spring which is stretched 3 meters by a force of 10N, and a dashpot which provides a 4N resistance for each m/s of velocity. The mass is also acted on by a periodic force 5 cos(ωt) for some number ω.

• For what value of ω (if any) does practical resonance occur?

• If the mass starts at rest, at equilibrium, find a formula for x(t) (in terms of ω), the distance between the mass and the equilibrium point t seconds after motion starts.

Expert Solution

genius_generous answered 2 years ago

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