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Engineering, 09.09.2019 18:30 HNesmith16

We will plot the responses of many systems in this course, and ills crucial that your plots' titles contain key parameters of the particular system whose response you are showing. the free response of an underdamped sdof oscillator to initial conditions x(0)=x0 and x(0)=v0 iswhere omega d =omega n square root of 1-zeta^2 is the damped natural frequency of the system. using the above equation, plot the response x(t) versus time for a system with natural frequency omega n = 4 rad/sec and damping ratio zeta= 0.05 subject to initial conditions x(0)=0 cm and v 0=3 cm/s. use the linspace command (see prob. i above) to create a time vector with exactly 739 points between 1 =0 and t =10 sec. the four parameters must be entered automatically in the title, and you may not use a loop to calculate the response. also, report clearly the value of 700^th position in your time vector. basically, it is expected that you create a time vector and evaluate the equation above for all time with one command. you must turn in both your m -file and your plot.

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