G You already know FS of x() = cos() and x() = cos() + 5. We derived the FS coefficients using direct analysis (e. g., Euler formula). Using the same approach, derive exponential FS coefficients = of x() = 1 + in(2) Plot the magnitude and phase of coefficients (2 plots, examples are in slides FS:42-43). Briefly comment on the differences between sin and cos, and the FS coefficients.

Amass of 1.5 kg of air at 120 kpa and 24°c is contained in a gas-tight, frictionless piston-cylinder device. the air is now compressed to a final pressure of 720 kpa. during the process, heat is transferred from the air such that the temperature inside the cylinder remains constant. calculate the boundary work input during this process.

An ideal otto cycle with air as the working fluid has a compression ratio of 8. the minimum and maximum temperatures in the cycle are 300 k and 1340 k. use constant specific heats at room temperature to determine (a) the amount of heat transferred to the air during the heat- addition kj/kg, (b) the thermal efficiency, and (c) the thermal efficiency of a carnot cycle ope limits. process, in rating between the same temperature

Which of the following controllers anticipates the future from the slope of errors over time? a)-proportional b)-on/off c)-integral d)-derivative.