Lecture2 ENGR221Fall2008

# Lecture2 ENGR221Fall2008 - Lecture 2 General Principles...

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Lecture 2 General Principles, continued Newton’s 2 nd Law Concurrent Force Systems Sections 2.1-2.2,2.4,2.5

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Chapter 5 Mass and Energy Analysis of Control Volume Quiz 1 ! (1-24) At what distance, in kilometers, from the surface of the earth on a line from center to center would the gravitational force of the earth on a body be exactly balanced by the gravitational force of the moon on the body. 24 5.976(10 ) earth M kg ! 22 7.350(10 ) moon M kg ! 8 3.844(10 ) earth moon rm " ! 6 6.371(10 ) earth !
Chapter 5 Mass and Energy Analysis of Control Volume Three Characteristics of Forces ! Forces are Vectors Magnitude Direction » With respect to a fixed frame of reference ! Point of Application Body F Point of Application z x y 0

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Chapter 5 Mass and Energy Analysis of Control Volume More On Direction of a Vector ! With respect to a fixed frame of reference ! Line of Action ! Sense x y z 0 Line of Action F Sense: Denoted by arrowhead
Chapter 5 Mass and Energy Analysis of Control Volume Types Of Vectors ! Free Vector Has magnitude and direction No specific point of application ! Sliding Vector Has magnitude and direction Point of application can be anywhere on line of action ! Bound Vector Has magnitude and direction A line of action Point of application

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Chapter 5 Mass and Energy Analysis of Control Volume Representation of Vectors In Two Dimensions Magnitude One Angle F x y # In Three Dimensions Magnitude Two Angles Will explain later! x y z 0 # y # x # z F
Chapter 5 Mass and Energy Analysis of Control Volume Interesting Fact ! Consider a force F on a Rigid Body F ! Since the body is rigid, F is a sliding vector Point of action is anywhere on line of action

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Lecture2 ENGR221Fall2008 - Lecture 2 General Principles...

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