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By Robert L. Norton

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The roller rolls without slipping. The pivot pins at O2, O4, O6, and O8 are attached to the ground link (1). 1c (Kutzbach's modification) to calculate the mobility. Number of links L  8 Number of full joints J1  10 Number of half joints J2  0 M  3  ( L  1 )  2  J1  J2 M1 7 6 O6 8 FULL JOINT 5 4 O4 3 2 O2 O8 DESIGN OF MACHINERY - 5th Ed. SOLUTION MANUAL 2-27-1 PROBLEM 2-27 Statement: Sketch a kinematic diagram of the scissors jack shown in Figure P2-8 and determine its mobility. Describe how it works.

1c) Number of links L  4 Number of full joints J1  4 Number of half joints J2  0 M  3  ( L  1 )  2  J1  J2 3. 1c to determine the DOF (mobility) of the equivalent mechanism. There are 4 links, 3 full pin joints, 1 full sliding joint, and 0 half joints. This is a fourbar slider-crank. 1c) Number of links L  4 Number of full joints J1  4 Number of half joints J2  0 M  3  ( L  1 )  2  J1  J2 M1 DESIGN OF MACHINERY - 5th Ed. SOLUTIONS MANUAL 2-37-1 PROBLEM 2-37 Statement: Describe the motion of the following rides, commonly found at an amusement park, as pure rotation, pure translation, or complex planar motion.

There are no half joints. 1c to determine the DOF (mobility). 1c) Number of links L  20 Number of full joints J1  28 Number of half joints J2  0 M  3  ( L  1 )  2  J1  J2 3. ) In that case, subtract two links and three full joints, giving L = 18, J1 = 25 and M = 1. DESIGN OF MACHINERY - 5th Ed. SOLUTION MANUAL 2-45-1 PROBLEM 2-45 Statement: All of the eightbar linkages in Figure 2-11 part 2 have eight possible inversions. Some of these will give motions similar to others. Those that have distinct motions are called distinct inversions.

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