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EM 306 – Statics FINAL EXAM Fall 2008 - Landis
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Instructions: Correctly drawn and labeled free body diagrams are required for all problems.
Show all of your work. Place a box around your final answers and include units.
Problem 1. The mass of the block B is 8 kg.
The coefficient of static friction between the
surfaces of the clamp and the block is
μ s = 0.2. When the clamp is aligned as
shown, what minimum force must the spring
exert to prevent the block from slipping out?
(20 points)
Problem 2. If Iyy = 5 m 4 , determine (a) the dimension h , (b) the
location of the centroid, and (c) Ixx. The centroid of a semi-
circle is located 4 R / 3! above its base, and the moments of
inertia about axes passing through its centroid are
I (^) x! x! =
"
8
8
9 "
$ % &
' ( ) R
4 and I (^) y! y! =
"
8
R 4
. (15 points)
EM 306 – Statics FINAL EXAM Fall 2008 - Landis
Problem 3. (a) Draw a free body diagram of
the door. Do not make any assumptions
about the hinges at A and B except for the
fact that they are free to rotate about their
axis. Be sure to give a detailed explanation
of the reactions at A and B. (b) Use the fact
that the sum of the moments of all forces
and couples on the door about any axis must
be zero to determine the tension in the
string. (25 points)
Problem 4. The frame shown is used to support high-tension wires. If b = 3 ft, α = 30 °, and W = 2 00 lb, what is the axial force in member HJ? All slots are frictionless. (20 points)
Problem 5. Determine the internal shear force and bending moment distributions for the upper
beam. (20 points)
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