Phys 111 Mechanics 1 Lecture 1 PDF

Phys 111 Mechanics 1 Lecture 1 References 1- Fundamentals of Physics By Halliday & Resnick 2- Physics For scientists and Engineers By Serway 3- Classical Mechanics By John Taylor Course coordinator Dr. Tahani Alrebdi THE CONTENTS IN THE COURSE PRESENTATIONS ARE JUST TO GU...

Phys 111 Mechanics 1 Lecture 1 References 1- Fundamentals of Physics By Halliday & Resnick 2- Physics For scientists and Engineers By Serway 3- Classical Mechanics By John Taylor Course coordinator Dr. Tahani Alrebdi THE CONTENTS IN THE COURSE PRESENTATIONS ARE JUST TO GUID YOU, AND IT IS NOT A SUBSTITUTE TO THE COURSE REFERENCE. Introduction & Vectors Solving problems in physics All of the Problem-Solving Strategies and Examples in this book will follow these four steps: Identify the relevant concepts, target variables, and known quantities, as stated or implied in the problem. Set Up the problem: Choose the equations that you’ll use to solve the problem, and draw a sketch of the situation. Execute the solution: This is where you “do the math.” Evaluate your answer: Compare your answer with your estimates, and reconsider things if there’s a discrepancy. Basic Metric conversion chart …  Scalars Vectors Distance Displacement Speed Velocity Mass Weight Pressure Force Energy Momentum Temperature Acceleration Volume Electric current Density Torque  Representing a Vector … ▪ Vectors can be represented by arrows A horizontal force of 20N: A vertical force of 10N: Perpendicular Vectors: 1. By Calculation The magnitude of the Resultant vector R can be found using Pythagoras theorem: R2 = X2 + Y2 tanѲ = opposite/adjacent = Y/X Trigonometry: Pythagorean Theorem The square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of the lengths of the other two sides: A vector has magnitude as well as direction, and vectors follow certain (vector) rules of combination. A vector quantity is a quantity that has both a magnitude and a direction and thus can be represented with a vector. Some physical quantities that are vector quantities are displacement, velocity, and acceleration (a) All three arrows have the same (b) All three paths connecting the magnitude and direction and thus two points correspond to the represent the same displacement. same displacement vector. Adding Vectors Geometrically Suppose that, as in the vector diagram of Fig. a, a particle moves from A to B and then later from B to C. We can represent its overall displacement (no matter what its actual path) with two successive displacement vectors, AB and BC. The net displacement of these two displacements is a single displacement from A to C. We call AC the vector sum (or resultant) of the vectors AB and BC. A symbol with an overhead arrow always implies both properties of a vector, magnitude, and direction. Vector addition, defined in this way, has two important properties. First, the order of addition does not matter. Second, when there are more than two vectors, we can group them in any order as we add them. Components of Vectors Example  Unit Vectors A unit vector is a vector that has a magnitude of exactly 1 and points in a particular direction. It lacks both dimension and unit. Its sole purpose is to point—that is, to specify a direction. The unit vectors in the positive directions of the x, y, and z axes are labeled, and, where the hat is used instead of an overhead arrow as for other vectors (Fig). The arrangement of axes in Fig. is said to be a right-handed coordinate system. Unit Vectors can be represent it as: Unit vectors are very useful for expressing other vectors;  Adding Vectors by Components A way to add vectors is to combine their components axis by axis, To start, consider the statement Example Vectors and their Laws …  Multiplying Vectors 1. Multiplying a Vector by a Scalar 2. Multiplying a Vector by a Vector There are two ways to multiply a vector by a vector: one way produces a scalar (called the scalar product), and the other produces a new vector (called the vector product). Graphically, we are adding two vectors in the unit directions to get our arbitrary vector. The Scalar Product A dot product can be regarded as the product of two quantities: (1) the magnitude of one of the vectors and (2) the scalar component of the second vector along the direction of the first vector. Example Example The vector Product Simply.. Please watch this video to understand the LHR.. https://www.youtube.com/watch?v=h0NJK4mEIJU Example Group Discussion End of Lecture 1