MAE206-L02-Ch2

MAE 206 Engineering Statics Prof. Mary Zadeh Assistant Teaching Professor in Mechanical and Aerospace Engineering Department Fall 2023 Let’s GO PACK MAE 206 – Fall 2023 – Lecture 2 – Prof. Zadeh Lecture 2 Vectors: Force and Position Ch 2.1. Basic Concepts Ch 2.2. Cartesian Representation of Vectors in 2-D

Ch. 2.1 Page: 2 Let’s GO PACK MAE 206 – Fall 2023 – Lecture 2 – Prof. Zadeh 1 0 . M o m e n t s o f I n e r t i a 9 . F r i c t i o n 7 . C e n t r o i d s & D i s t r i b u t e d F o r c e S y s t e m s 8 . I n t e r n a l F o r c e s 6 . S t r u c t u r a l A n a l y s i s a n d M a c h i n e s 5 . E q u i l i b r i u m o f b o d i e s 4 . M o m e n t o f a F o r c e 3 . E q u i l i b r i u m o f P a r t i c l e s 2 . V e c t o r s : F o r c e a n d P o s i t i o n 1 . I n t r o d u c t i o n t o S t a t i c s MAE 206 Engineering Statics

Ch. 2.1 Page: 3 Let’s GO PACK MAE 206 – Fall 2023 – Lecture 2 – Prof. Zadeh Announcement • HW #1 (Ch. 1 & 2.1-2) ▪ Due: Wednesday, Aug. 30 at the beginning of the lecture • Exam 1 (Ch. 1-3) ▪ Monday, Sep. 25 • Exam 2 (Ch. 4-6) ▪ Monday, Oct. 23 • Exam 3 (Ch. 7-9) ▪ Monday, Nov. 20

Ch. 2.1 Page: 4 Let’s GO PACK MAE 206 – Fall 2023 – Lecture 2 – Prof. Zadeh Objectives • Performing basic vector operations like addition, subtraction, and multiplying a vector by a scalar. • Resolving vectors into components. • Defining unit vectors. • Defining Cartesian coordinate system. • Performing vector operations using Cartesian components.

Ch. 2.1 Page: 5 Let’s GO PACK MAE 206 – Fall 2023 – Lecture 2 – Prof. Zadeh Introduction • A vector has both size and direction. • A vector has a head and a tail , as well as a line of action , which is the line of infinite extent along which the vector is positioned. • The magnitude of a vector is the measure of its size, or length, including appropriate units. ▪ The magnitude of a vector is a positive scalar of any vector that has nonzero size, and is zero only for a vector of zero size. The magnitude can never be negative.