Golden Series Mechanics Phys 201

Golden Series Mechanics Phys 201
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Golden Series Mechanics Phys 201

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Publisher: Laxmi Publications
ISBN: 9789351380160
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Preface Syllabus
1
VECTORS
1 28
Scalar and Vector Quantities ................................................................................... 1 Representation of a Vector ....................................................................................... 1 Important Terms ..................................................................................................... 1 Position Vector ........................................................................................................ 2 Displacement Vector ................................................................................................ 3 Multiplication of Vectors by a Real Number Scalar Multiple of a Vector ................. 3 The Zero Vector and its Properties .......................................................................... 4 Vector Addition ........................................................................................................ 4 1.8.1 Triangle Law of Vectors ................................................................................ 4 1.8.2 Parallelogram Law of Vectors ....................................................................... 5 1.8.3 Polygon Law of Vectors ................................................................................ 6 1.9 Properties of Vector Addition ................................................................................... 7 1.10 Subtraction of Vectors ............................................................................................. 9 1.11 Scalar Product or Dot Product of Two Vectors ........................................................ 10 1.12 Properties of Scalar Product of Vectors .................................................................. 11 1.13 Scalar Product of Vectors and the Resolution of a Vector ........................................ 12 1.14 Vector Product or Cross Product of Two Vectors .................................................... 14 1.15 Two Rules for Determining the Direction of the Vector Product ............................. 14 1.16 Properties of Vector Product of Vectors................................................................... 15 1.17 Product of Three Vectors ....................................................................................... 17 1.17.1 Triple Scalar Product .................................................................................. 17 1.17.2 Triple Vector Product .................................................................................. 22 Exercise Numerical Problems 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8
2 2.1 2.2
ONE- AND TWO-DIMENSIONAL MOTIONS
29 55
Particle Kinematics ............................................................................................... 29