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Exam1-2007

# Exam1-2007 - ME3212 Mechanisms Exam 1 Fall 2007 Name 1(20...

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Unformatted text preview: ME3212: Mechanisms Exam 1 : Fall 2007 Name 1. (20 pts) Calculate the number of degrees of freedom for each of the following mechanisms. ) Number the links on each mechanism and indicate the degrees of freedom of each joint with a “(1)” or “(2).,, Q §_. Page 1 of4 ME3212: Mechanisms Exam 1: Fall 2007 Name 2. (25 pts) Consider the mechanism with the conﬁguration shown below and the given dimensions. a1=35mm a2=25mm a3=10mm a4=40mm a5=45mm (1) = 30deg 02 = 100 deg 03 = 13.4 deg 04 = 140.8 deg 032 = 20 rad/s ccw (03 = -41.12 rad/s cw (04 = 15.7 rad/s ccw a) Determine whether or not link 02A can make a complete revolution with respect to the other links. b)What kind of mechanisms is this? double rocker, double crank, crank-rocker c) Write down expressions for the x and y positions of point P in the x-y system shown above. (1) Write expressions for the x and y components of velocity of point P. e) Determine the magnitude and direction of the velocity vector of point P. Page 2 of4 ME3212: Mechanisms Exam 1: Fall 2007 Name 3. (30 pts) Consider the multi-loop mechanism shown below. a) Write the loop closure equations. b) Identify the unknown variables and the number of degrees of freedom. 0) Can link 02A or link 04B make a complete revolution with respect to the other links? d) What is the maximum value of r? (Hint: this happens in a dead—center conﬁguration) e) What is the value of 62 when r = 45 inches? i) What is the value of 64 when r = 45 inches? Page 3 of4 ME3212: Mechanisms Exam 1: Fall 2007 Name 4. (20 pts) Determine the angle 62 to the nearest 0.5 degree of the slider crank 1n the position sketched (not to scale) below Page 4 of4 ...
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