# Lecture_20 - Kinematics and Dynamics of Machines of ENGR...

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Kinematics and Dynamics Kinematics and Dynamics of Machines of Machines ENGR 3270U ENGR 3270U Lecture 20 Lecture 20 Yuping He University of Ontario Institute of Technology November 26, 2008

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1.2 Chapter 13 Static Force Analysis of Mechanisms 13.1 Introduction Conditions: (1) Mechanisms deliver forces or components subject to loads; (2) Motion is slow or inertial forces can be neglected. Motivations: (1) Conversion of kinematic designs into physical mechanism design requires consideration of loads on components; (2) For safety purposes, component stress or deflection analyses are required under critical situations. Methods: (1) The basis of all static analysis is Newton’s third law; (2) Static equilibrium equations should be generated; (3) Free-body diagram method is a useful tool.
1.3 13.2 Forces, Moments, and Couples j F i F F y x + = 2 1 F F F + = j r i r r y x + = F r M F F × = Force: Addition of forces: Arm position vector : Moment of a force about a point: F r F P F r M n F F × = Two noncollinear forces forming a couple: F F n r F

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