1.3 f(t) m In the right figure, a mass m is attached to a wall with a spring and a damper. The spring has a spring const

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1 3 F T M In The Right Figure A Mass M Is Attached To A Wall With A Spring And A Damper The Spring Has A Spring Const 1 (255.45 KiB) Viewed 25 times

1.3 f(t) m In the right figure, a mass m is attached to a wall with a spring and a damper. The spring has a spring constant k and the damper has a damping constant c. It is assumed that k > c²/4m. An ex- ternal force f is acting on the mass. We denote the translation of the mass from с its equilibrium position by y. Further, we let f(t) be the input signal and y(t) be the output signal. The force equation gives mj =ky – cỷ+f Introduce the states x₁ = y and x₂ = y and write down the state space represen- tation of the system. k mor y(t) +