Exam1-2009

# Exam1-2009 - the outer gear is Fxed 6 Given the four-bar...

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ME3212: Mechanisms Exam #1 Instructor: Dr. Jeremy Daily Fall 2009 Department of Mechanical Engineering The University of Tulsa This exam is open book and open notes. 1. True or False: Kinetics is the study of position with respect to time without regard to the forces that cause motion. 2. True or False: A spherical pair has 1 degree of freedom. 3. True or False: Two degrees of freedom are needed to describe the meshing of both toothed gears and non-slipping friction gears. 1

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4. A four bar mechanism has the following link lengths: 2 in, 2.5 in, 3 in, and 4.5 in. a) Sketch the mechanism as a crank-rocker. b) Does this mechanism satisfy Grashof’s Law? c) What does it mean for a 4-bar linkage to satisfy Grashof’s law?
5. Calculate the mobility of the following mechanism. All circles represent toothed gears and

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Unformatted text preview: the outer gear is Fxed. % 6. Given the four-bar linkage in the following diagram where θ 2 = 45 ◦ , r 1 = 600 mm, r 2 = 140 mm, r 3 = 690 mm, r 4 = 400 mm, a 4 = 200 mm, and ∠ BO 4 C = 45 ◦ (constant). a) Write down the loop closure equations. b) Determine the angle, 3 . c) Determine the coordinates of point C. r 3 % % r 1 r 2 r 4 A B C O 2 O 4 x y 3 2 4 a 4 7. Using the Newton-Rahpson method, determine the position of the slider for the following off-set slider crank mechanism where r 2 = 2 inches, r 3 = 11 inches, e = 1 inch, and θ 2 = 120 ◦ . Start with an initial guess of d = 10 inches and solve for d within 0.001 inches. % A B O 2 x y 3 2 r 3 r 2 d e...
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Exam1-2009 - the outer gear is Fxed 6 Given the four-bar...

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