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EM 306 – Statics TEST 1 Spring 2007 - Landis
Name ___________________________________
EID ___________________________________
Unique Number ___________________________
Instructions: Both problems require a correctly drawn and labeled free body diagram. Show all
of your work. Place a box around your final answers and include units.
Problem 1. The unstretched length of the spring CD is 350-mm. The lever ABC exerts a contact
force of 120-N on the frictionless surface at A. (a) Determine the value of the spring constant k ,
and (b) the reactions at B. Recall that a linear spring exerts a force Fs = k ( L! L 0 ), where k is
the spring constant, L is the stretched (current) length of the spring, and L 0 is the unstretched
length of the spring. (25 points)
EM 306 – Statics TEST 1 Spring 2007 - Landis
Problem 2. The vertical cable is attached to the ground at A. The force F is given as
F = 10 i! 30 j! 10 k newtons. There is a collar at B that restricts translation in the x - direction.
Draw a free body diagram and determine the tension in the cable and all of the reactions at B.
(25 points)
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+ -ri^ -o
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+ fa. xT f
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=o
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_>
f =^ 60N
W
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-3w+tnTflGz=O
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fi,^altt, :^ tr?+
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i->
j+
t+
_\
B
-\
/vG
= (,*i
+=
loil
f^= (^) 6o il
=(-pi o?oi r (^) oi)N
--s \
