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A particle of mass 1 is attached to a spring dashpot mechanism. The stiffness constant of...

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Advance Math

A particle of mass 1 is attached to a spring dashpot mechanism.The stiffness constant of the spring is 3 N/m and the drag forceexerted on the particle by the dashpot mechanism is 4 times itsvelocity. At time t=0, the particle is stretched 1/4 m from itsequilibrium position. At time t=3 seconds, an impulsive force ofvery short duration is applied to the system. This force imparts animpulse of 2 N*s to the particle. Find the displacement of theparticle from its equilibrium position.

This question is from the dirac delta function chapter in mydiff. equations book. Thanks!!

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