Test 1 Practice Problems on Statics - Spring 2007 | E M 306, Exams of Statics

Material Type: Exam; Professor: Landis; Class: STATICS; Subject: Engineering Mechanics; University: University of Texas - Austin; Term: Spring 2007;

Typology: Exams

Pre 2010

Uploaded on 05/22/2010

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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 bar is 1-m long, and its weight W acts at its midpoint. The distance b = 0.75-m,
and the angle
α
= 30°. The spring constant is k = 100 N/m, and the spring is unstretched when
the bar is vertical. Determine W and the reactions at A. Recall that a linear spring exerts a force
F
s=k L !L0
( )
, where k is the spring constant, L is the stretched (current) length of the spring,
and L0 is the unstretched length of the spring. (25 points)
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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 bar is 1-m long, and its weight W acts at its midpoint. The distance b = 0.75-m, and the angle α = 30°. The spring constant is k = 100 N/m, and the spring is unstretched when the bar is vertical. Determine W and the reactions at A. 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 bearings at A , B and C do not exert couples on the bar and do not resist translation along their indicated axis. Determine the reactions at the bearings due to the two forces on the bar. (25 points)

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