A second order mechanical system 40x^.. + 80x^. + 1000x = f(t) is identified. The system is subjected to three separate input excitations a. unit initial displacement and
b. unit initial velocity
Plot the displacement response of the system due to these conditions on the three plots provided. Please write (not derive) the generic equation describing the response. Compute the period and identify the response type (over, under or critically damped) for each case.

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1in2 processor chip can be modelled as an isothermal plane wall of silicon, isothermal on both sides. the power input to the bottom of the plane wall, or the processing power of the chip, often called the thermal design power (tdp), is 100w. assume the periphery is adiabatic. the silicon is 400 microns thick. the temperature at the junction, or in this case on the bottom of the isothermal plane wall, is 85°c. what is the top surface temperature, assuming that the only mode of heat transfer is conduction