(a) what is the period of the forced oscillation? what is the numerical value (modulo 2π) of the angle α defined by (4)?

(b) in this question you are asked to modify the file lab06ex1.m in order to plot the complementary solution of (1), that is, the first term in (2). first define in the file the angle α (alpha) using (4), then evaluate the complementary solution yc by subtracting the quantity c cos(ωt − α) from the numerical solution y. plot the resulting quantity. does it look like an exponentially decreasing oscillation? why or why not? include the modified m-file and the corresponding plot.

A3-mm-thick panel of aluminum alloy (k 177 w/m-k, c 875 j/kg-k and ? = 2770 kg/m) is finished on both sides with an epoxy coating that must be cured at or above t,-150°c for at least 5 min. the production line for the curing operation involves two steps: (1) heating in a large oven with air at ts,0-175°c and a convection coefficient of h, 40 w/m2. k, and (2) cooling in a large chamber with air at 25°c and a con- vection coefficient of he 10 w/m2.k. the heating portion of the process is conducted over a time interval te which exceeds the ime required to reach 150°c by 5 min (h = r + 300 s). the coating has an emissivity of ? = 0.8, and the temperatures of the oven and chamber walls are 175 and 25°c, respectively. if the panel is placed in the oven at an initial temperature of 25°c and removed from the chamber at a safe-to-touch tempera ture of 37°c, what is the total elapsed time for the two-step curing operation?