Chapter 9, Problem 15P

The geometry of a decorative heat-sink fin of height 2cm and length b (in cm) is approximated, as shown in Fig. P9.15.

1. Determine the values of a and b for the heat-sink fin.
2. Determine the area of the cooling of the fin by integration with respect to $x$.
3. Determine the x -coordinate of the centroid by integration with respect to $x$.
4. Determine the y -coordinate of the centroid by integration with respect to $x$.