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# Lecture 9 - ENGR-1100 Introduction to Engineering Analysis...

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Lecture 9 Notes prepared by: Prof. Yoav Peles ENGR-1100 Introduction to Engineering Analysis

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Homework Assignment (due next class) Problem 4-7 Problem 4-15 Problem 4-25
Lecture outline Moment of a force Principle of moments and Varignon’s law

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Non concurrent forces For concurrent forces R = 0 was sufficient for equilibrium. For non concurrent forces the particle idealization is no longer valid. For this case the condition R = 0, while still necessary for equilibrium, is not sufficient. A second restriction is related to tendency of a force to produce rotation (angular acceleration) of a body. This gives rise to the concept of moment of a force: F F

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Moment M 0 of Force F about AA Magnitude of Moment: M 0 = | F |d Direction of Moment is along axis A-A That is, moment is a vector along the direction of A-A: M 0 = | F |d e AA where e AA is unit vector along axis A-A
F d Ο In 2D, we work in the plane perpendicular to the axis that contains F . Point O is intersection of axis A-A with

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Lecture 9 - ENGR-1100 Introduction to Engineering Analysis...

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