EM 306 – Statics FINAL EXAM Spring 2010 - Landis
Name
EID
Unique Number
Instructions: Correctly drawn and labeled free body diagrams are required for all
problems with equilibrium analyses. Show all of your work. Place a box around your
final answers and include units. Do all of your work on separate sheets of paper.
Nothing written directly on the test sheet will be graded.
Problem 1. Determine the reactions at O
required to maintain equilibrium when
!=60
!
. The spring is unstretched when
!=90
!
. Note that the distances are given in
feet but the spring stiffness is given in pounds
per inch. You need to convert one or the
other using the fact that there are 12 inches in
one foot. (20 points)
Problem 2. For the semi-circular area of
radius R, determine: (a) the location of the
centroid using integration methods, (b)
I
x
and
I
y
using integration methods, and (c)
I
x
and
I
y
using the parallel axis theorem.
(20 points)
dA =r dr d!
in polar coordinates
sin
2
!d!
0
"
!
=cos
2
!d!
0
"
!
="
2
