Consider the four free body diagrams. free-body diagrams are diagrams used to show the relative magnitude and direction of all forces acting upon an object in a given situation. do any of the free body diagrams indicate motion? if yes, which one(s). explain. a) no. in each case, the forces are balanced. b) yes. in b the book is slowing down because of the friction force opposing motion. c) you cannot tell if there is any motion. you can only determine how much force is acting on the objects. d) yes. in b and d. in both cases, there is a net force. in b, there is a net force to the left; in d there is a net force upward.

Find the steady-state temperature at the center of the plate = /2, = /2) for sums of w from n=1 to n=19 (only odd values). find the value of n for which the change in /2, /2) is less than 1% from the value at the previous n. at this point, we consider the solution converged. does the value of the temperature at the center seem reasonable? in this part, the values of x and y are constant scalar values. you should produce a plot of the value of n on the horizontal and the estimate of the temperature at the center of the plate on the vertical. b. using the value of n (or larger) that resulted in convergence in part (a), create a contourf plot of the temperature distribution across the entire plate. use enough spatial subdivisions to create a useful plot. comment on the results. hint: you need to determine what “x” and “y” values to use to make your t matrix. i recommend using a different number of x and y values. use enough x and y values so that the plot is “smooth”.