A mass attached to a spring is released from rest 1 m

Chapter 7, Problem 29E

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A mass attached to a spring is released from rest  below the equilibrium position for the mass-spring system and begins to vibrate. After , the mass is struck by a hammer exerting an impulse on the mass. The system is governed by the symbolic initial value problem

                 \(\frac{d^{2} x}{d t^{2}}+9 x=3 \delta\left(t=\frac{\pi}{2}\right) x(0)=1, \frac{d x}{d t}(0)=0\)

where  denotes the displacement from equilibrium at time  What happens to the mass after it is struck?

Equation transcription:

Text transcription:

frac{d^{2} x}{d t^{2}}+9 x=3 delta(t=frac{pi}{2}) x(0)=1, frac{d x}{d t}(0)=0

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