Math 293 Homework 10 due Wed Nov 6, 1996
Do as many of the * problems as it takes you to build
your confidence to a level that you desire before you work
on the problems to hand in.
Hand in problems (1), (2) and (3).
*) You should be able to do problems 13.2.1-56.
Words you should know enough to set up calculations:
Area, centroid, first and second moments, polar moment,
radius of gyration, perpendicular axis theorem, parallel
axis theorem.
1) 13.2.43
*) You should be able to do problems 13.3.1-46
(using MATLAB for 42-46. Type online help for
MATLAB functions SUM, TRAPZ, QUAD, and QUAD8 for
some of the options about how to do integrals
numerically. You can also use ODE23 to do integrals
as you can see from E&P page 10. See Prataps book
pgs 110-113 and 122-125 for plotting options).
2) a) 13.3.25
b) When you have reduced the problem to
a single integral, evalutate that integral
numerically rather than analytically.
Compare your result.
*) You should be able to do problems 13.4.1-52.
(using MATLAB for 49-52).
3) 13.4.29.