# Lecture 11 - ENGR-1100 Introduction to Engineering Analysis...

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Lecture 11 Notes courtesy of: Prof. Yoav Peles ENGR-1100 Introduction to Engineering Analysis

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Homework Assignment (due next class) Problem 4-88 Problem 4-91 Problem 4-108
Previous lecture outline Vector representation of a moment: - Moment of a force about a point. -Moment of a force about a line.

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Lecture outline Couples. Resolution of force into force and a couple.
A couple A system of forces whose resultant force is zero but the resultant moment about a point is not zero. (Couple = Torque = Pure Moment)

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A couple A system of forces whose resultant force is zero but the resultant moment about a point is not zero. y x z F 1 Α O F 2 Β d M A =| F 2 |d M B =| F 1 |d If | F 1 | = | F 2 | : M A = M B =Fd
The sum of the moment of two forces about any point O is: M 0 = r 1 X F 1 + r 2 X F 2 Since F 2 equals - F 1 : M 0 = r 1 X F 1 + r 2 X (- F 1 ) x z F 1 Α O F 2 d r A/B r 1 Therefore: M 0 = r A/B X F 1 = F 1 d e n =( r 1 r 2 )X F 1 = r A/B X F 1

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The characteristic of a couple 1) The magnitude of the moment of the couple.
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## This note was uploaded on 04/04/2011 for the course ENGR 1100 taught by Professor Anderson during the Fall '06 term at Rensselaer Polytechnic Institute.

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Lecture 11 - ENGR-1100 Introduction to Engineering Analysis...

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