Exam1 Solutions

# Exam1 Solutions - T N T T T T T T T T T BC AC o o BC o AC o...

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MCE 262 Statics Exam #1 October 2, 2009 Solutions Name ________________________________ Instructor ___________________ Problem 1. Two cables are tied together at point C, and an applied force P = 100 N also acts at that point. B (a) Draw a free-body diagram of point C. (10 points) (b) Determine the tensions in each of the two cables AC and BC using either the rectangular component method or the force triangle method. (40 points) 40 o 20 o C 60 o P = 100N A C T AC 20 o 50 o 30 o P = 100N T BC x y Rectangular Component Method Force Triangle Method N

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Unformatted text preview: T N T T T T T T T T T BC AC o o BC o AC o o BC o AC o BC o AC o o BC o AC o 8 . 77 8 . 50 : forces unknown for Solving 2 . 34 20 sin 100 50 sin 30 sin 97 . 93 20 cos 100 50 cos 30 cos 50 sin 30 sin 20 sin 100 F 50 cos 30 cos 20 cos 100 F y x = = ⇒ = = + − = = + = + − − ⇒ = Σ = − − ⇒ = Σ 30 o 100 o 50 o P = 100N T AC T BC N T N T T T o o BC o o AC o BC o AC o 8 . 77 100 sin 100 50 sin 8 . 50 100 sin 100 30 sin 50 sin 30 sin 100 sin 100 : Sines of Law = = = = = =...
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Exam1 Solutions - T N T T T T T T T T T BC AC o o BC o AC o...

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