Math410 (Bayly) Homework 5 (due Friday 30 July)

There are a lot of these, but I think you’ll find them straightforward and good practice. If you want more practice, work on the other parts of these problems!

Page 76: 1.9.1c

Page 422: 8.2.1 parts a,c,d,e

Page 473: 9.1.10, 9.11 a,d

AND after all I decided I want you to calculate the tensions in a 3-beam roof. The supports are at the corners (-1, 0)^T and (2,0)^T, and the peak is at (1, 1)^T. There is a weight (vertical downward force) of 600 pounds concentrated at the peak, and vertical upward forces F and G (values to be found by you) at the left and right corners respectively.

You should compute the tau’s (tensions divided by length, as I described in class), which will probably end up simple integers or fractions. Then calculate the lengths (which will be weird square roots) and use to get the actual tensions. All forces will be in pounds, and you will find it interesting to see what compressions and tensions are required to support a 600 pound load.

Prof Bayly