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# Chapter 2

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### Chapter 2

1. 1. CHAPTER 2: FORCE VECTOR2.1 Understand scalars and vectors 2.1.1 Differentiate between scalars and vectors
2. 2. VECTORS SCALARS• When comparing two vector quantities of the same type, • For scalars, you only have you have to compare both the to compare the magnitude and the direction. magnitude. When doing any mathematical operation on a vector quantity (like adding, subtracting, multiplying ..) you have to consider both the magnitude and the direction. This makes dealing with vector quantities a little more complicated than scalars.
3. 3. • A vector is shown graphically by an arrow. The length of the arrow represents the magnitude of the vector, and the angle ᶿ between the vector and the fixed axis defines the direction of its line of action. The head or tip of the arrow indicates the sense of direction of the vector, Fig. 2-1
4. 4. • Check Your Understanding• 1. To test your understanding of this distinction, consider the following quantities listed below. Categorize each quantity as being either a vector or a scalar. – a. 5 m – b. 30 m/sec, East – c. 5 mi., North – d. 20 degrees Celsius – e. 256 bytes – f. 4000 Calories
5. 5. 2.1.2 Distinguish free vectors, sliding vectors, fixed vectors
6. 6. 2.2 Understand rectangular components 2.2.1 Explain two forces acting on a particle
7. 7. 2.3 Understand vectors and vector operations 2.3.1 Calculate addition of vectors
8. 8. 2.3.2 Calculate subtractions of vectors
9. 9. 2.3.3 Determine resolutions of vectors• The process of determining the magnitude of a vector.• The two methods of vector resolution that we will examine are – the parallelogram method – the trigonometric method
10. 10. The parallelogram method
11. 11. The trigonometric methodThe above method is illustrated below for determining the components of theforce acting upon Fido. As the 60-Newton tension force acts upward andrightward on Fido at an angle of 40 degrees, the components of this force canbe determined using trigonometric functions.
12. 12. 2.4 Understand the resultant force of coplanar forces by addition
13. 13. 2.5 Understand Cartesian vectors
14. 14. 2.7 Understand position vectors and x, y, z coordinates
15. 15. 2.8 Understand the force vector directed along the line
16. 16. 2.9 Understand the dot product