11) A mass of 1 kg is attached to a linear spring whose constant is 4 N/m, and the damping coefficient is 0.5. Find the equation for the displacement of the mass if its initial position and velocity are x(0)=-0.1 m and x'(0)= 0 m/s respectively. Plot x(t) and x'(t) for about 15 seconds.
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Step 1: The equation of motion for a damped harmonic oscillator is given by: $$m x''(t) + c x'(t) + k x(t) = 0$$ where $m$ is the mass, $c$ is the damping coefficient, and $k$ is the spring constant. Show more…
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