Lecture 02

# Lecture 02 - ME 221 Statics www.angel.msu.edu Sections 2.2...

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ME 221 Lecture 2 1 ME 221 Statics www.angel.msu.edu Sections 2.2 – 2.5

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ME 221 Lecture 2 2 Announcements ME221 TA’s and Help Sessions Chad Stimson – [email protected] Homework grading & help room Tuesdays & Thursdays – 8am to 1pm – 1522EB Jimmy Issa – [email protected] Quiz & exam grading & help room Tuesdays & Thursdays – 1pm to 5pm – 2415EB
ME 221 Lecture 2 3 Announcements HW#1 Due on Friday, May 21 Chapter 1 - 1.1, 1.3, 1.4, 1.6, 1.7 Chapter 2 – 2.1, 2.2, 2.11, 2.15, 2.21 Quiz #1 on Friday, May 21

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ME 221 Lecture 2 4 Last Lecture Vectors, vectors, vectors Law of Cosines Law of Sines Drawing vector diagrams Chapter 1: Basics Example 1: Addition of Vectors
ME 221 Lecture 2 5 Law of Cosines This will be used often in balancing forces c β α γ b a 180 γ + + = o 2 2 2 2 cos a b c bc = + - 2 2 2 2 cos b a c ac = + - 2 2 2 2 cos c a b ab = + -

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ME 221 Lecture 2 6 Law of Sines Again, start with the same triangle β α γ c b a sin sin sin a b c γ = =
ME 221 Lecture 2 7 300 lb 200 lb 45 o 25 o Example Note: resultant of two forces is the vectorial sum of the two vectors

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ME 221 Lecture 2 8 25 o 155 o 45 o θ = 90 o +25 o - α 200 lb 300 lb R 25 o 110 o 300 lb R 200 lb
ME 221 Lecture 2 9 Scalar Multiplication of Vectors Multiplication of a vector by a scalar simply scales the magnitude with the direction unchanged Line of action A Line of action stays the same 0.5 x A

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ME 221 Lecture 2 10 Forces Review definition Shear and normal forces Resultant of coplanar forces
ME 221 Lecture 2 11 Characteristics of a Force Its magnitude denoted by | F | Its direction Its point of application important when we discuss moments later

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Lecture 02 - ME 221 Statics www.angel.msu.edu Sections 2.2...

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