CH 4 Lecture Notes ppt

CH 4 Lecture Notes ppt - IS MAINTAINED PROPERTIES OF A...

Info iconThis preview shows pages 1–22. Sign up to view the full content.

View Full Document Right Arrow Icon
CHAPTER 4: ANALYSIS OF A GENERAL SYSTEM OF FORCES In this chapter, we study the following fundamental concepts of MECHANICS
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Moment of Force F at P about Point O Uniqueness of Definition Vector CONCEPT OF A MOMENT: THE EFFECT OF A MOMENT IS TO PRODUCE A TENDENCY OF ROTATION. IT IS DEPENDENT ON ARM VECTOR
Background image of page 2
Moment of Force F at P about Line aa scalar        = dot produ ct of u n it vector alon g           an d  ˆ        =  aa F O F O aa F M aa M i M = % % % where O is any point on the line aa
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Right-Handed Rule
Background image of page 4
COUPLE IS A FREE VECTOR MAGNITUDE OF A COUPLE IS MEASURED BY THE MAGNITUDE OF THE MOMENT OF THE COUPLE THE MAGNITUDES AND POINTS OF APPLICATION OF THE FORCES CONSTITUTING A COUPLE ARE IMMETERIAL AS LONG AS THE DIRECTION AND MAGNITUDE OF THE MOMENT VECTOR
Background image of page 5

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 6
Background image of page 7

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 8
Background image of page 9

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 10
Background image of page 11

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 12
Background image of page 13

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 14
Background image of page 15

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 16
Background image of page 17

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 18
Background image of page 19

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 20
Background image of page 21

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 22
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: IS MAINTAINED PROPERTIES OF A COUPLE EXAMPLE A COUPLE IS REPRESENTED BY THE TOTAL MOMENT VECTOR OF THE FORCES CONSTITUTING THE COUPLE. IT IS SHOWN BY THE SYMBOL Concept of Equivalent Force System in Mechanics 1. Reduction of a Single Force into a Force and a Couple Total Force at P = 1 2 F F + % % 1 2 ˆ ( ) M M k-% Moment of Couple = An Example Reduce to Equivalent System at A, B and C TOTAL MOMENT O A ( 29 4,2, 2 r OA = =-uuur r Y-component of moment = -40 lbf.ft Direction and sense of the moment vector ( 29 40, 40,40 M r F = =-r r r Unit Vector along is (1,-1,1) M r Condition to form a wrench at P Py Px Pz x y z M M M R R R = = Solution...
View Full Document

This note was uploaded on 04/30/2009 for the course MAE 210306200 taught by Professor Chatterjee during the Spring '09 term at UCLA.

Page1 / 22

CH 4 Lecture Notes ppt - IS MAINTAINED PROPERTIES OF A...

This preview shows document pages 1 - 22. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online