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

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 force exerted on the particle by the dashpot mechanism is 4 times its velocity. At time t=0, the particle is stretched 1/4 m from its equilibrium position. At time t=3 seconds, an impulsive force of very short duration is applied to the system. This force imparts an impulse of 2 N*s to the particle. Find the displacement of the particle from its equilibrium position.

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

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