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Unformatted text preview: EM 306 — Statics TEST 1 Fall 2008  Kontsos Name:
EID:
Unique Number : Instructions: This is a closed book, closed notes test. You are allowed to use calculators. The
duration of the test is 1 hour. Problem 1 150 points): Two forces are exerted on the crankshaft by the connecting rods as shown in Figure 1. The
direction cosines of FA are cost)x =  0.182, cos0y= 0.818, and cosez= 0.545, and its magnitude is
4 kN. The direction cosines of F1; are cost)" = 0.182, cos0y = 0.818, and cos0z = 0.545, and its
magnitude is 2 kN.
(i) [10 points]
Draw a diagram where you clearly show the points of application of the two forcesand
«theEweferees:
(ii) [30 points]
Given the two forces in the ﬁgure, compute a single force R and a moment Mo acting at
the origin 0. Draw R and Mo on the diagram you presented in (i).
(iii) [10 points]
If the system of forces that you computed in (ii) should be represented by a single force
acting at some point in space, show how you would compute the coordinates of this
point by deriving a system of equations (you are not required to solve it). y F3 80 mm
80 mm x Figure 1 4 A
Mfg, [30.2% + 363.181 + 55>.“ EM 306 — Statics TEST 1 Fall 2008  Kontsos Problem 2 150 points ): ,,
The 8ft bar in Figure 2 lies on the xy plane and is in equilibrium. It is supported by a ball an socket support at point A, the cable BD, and a roller support at C. The collar at B is ﬁxed to the
bar at its midpoint. The force F =  50 k (lb).
(i) [20 points]
Draw a free body diagram where you clearly show all the forces and reactions on the
bar.
(ii) [30 points]
Determine the tension in cable BD and the reactions at A and C. Figure 2 “EST 1 (Bloaw L
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This note was uploaded on 01/27/2012 for the course E M 306 taught by Professor Rodin during the Spring '08 term at University of Texas at Austin.
 Spring '08
 Rodin

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