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Kleppner Kolenkow Mechanics Solutions

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Kleppner Kolenkow Mechanics Solutions 1 VECTORS AND KINEMATICS 1 2 NEWTON’S LAWS 21 3 FORCES AND EQUATIONS OF MOTION 33 4 MOMENTUM 54 5 ENERGY 72 6 TOPICS IN DYNAMICS 89 7 ANGULAR MOMENTUM AND FIXED AXIS ROTATION 105 8 RIGID BODY MOTION 138 9 NONINERTIAL SYSTEMS AND FICTITIOUS FORCES 147 10 CENTRAL FORCE MOTION 156 11 THE HARMONIC OSCILLATOR 171 12 THE SPECIAL THEORY OF RELATIVITY 182 13 RELATIVISTIC DYNAMICS 196 14 SPACETIME PHYSICS 206 Downloaded by john gatheca () lOMoARcPSD| Gathecha Downloaded by john gatheca () lOMoARcPSD| Gathecha 1.1 Vector algebra 1 A = (2 ˆi − 3 ˆj + 7 kˆ) B = (5 ˆi + ˆj + 2 kˆ) (a) A + B = (2 + 5)ˆi + (−3 + 1)ˆj + (7 + 2) kˆ = 7 ˆi − 2 ˆj + 9 kˆ (b) A − B = (2 − 5)ˆi + (−3 − 1)ˆj(7 − 2) kˆ = −3 ˆi − 4 ˆj + 5 kˆ (c) A · B = (2)(5) + (−3)(1) + (7)(2) = 21 (d) A × B = ˆi ˆj kˆ 2 −3 7 5 1 2 = −13 ˆi + 31 ˆj + 17 kˆ 1.2 Vector algebra 2 A = (3 ˆi − 2 ˆj + 5 kˆ) B = (6 ˆi − 7 ˆj + 4 kˆ) (a) A 2 = A · A = 3 2 + (−2)2 + 5 2 = 38 (b) B 2 = B · B = 6 2 + (−7)2 + 4 2 = 101 (c) (A · B) 2 = [(3)(6) + (−2)(−7) + (5)(4)]2 = [18 + 14 + 20]2 = 522 = 2704

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University Physics
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Uploaded on
September 12, 2023
Number of pages
217
Written in
2023/2024
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Exam (elaborations)
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lOMoARcPSD|28964921




Gathecha




Kleppner Kolenkow Mechanics Solutions


University Physics (Yale University)




Studocu is not sponsored or endorsed by any college or university
Downloaded by john gatheca ()

, lOMoARcPSD|28964921




Gathecha




Solutions Manual to accompany
AN
INTRODUCTION
TO
MECHANICS
2nd edition
Version 1 November 2013




KLEPPNER / KOLENKOW




c Kleppner and Kolenkow 2013




Downloaded by john gatheca ()

, lOMoARcPSD|28964921




Gathecha




Downloaded by john gatheca ()

, lOMoARcPSD|28964921




Gathecha




CONTENTS



1 VECTORS AND KINEMATICS 1

2 NEWTON’S LAWS 21

3 FORCES AND EQUATIONS OF MOTION 33

4 MOMENTUM 54

5 ENERGY 72

6 TOPICS IN DYNAMICS 89

7 ANGULAR MOMENTUM AND FIXED AXIS ROTATION 105

8 RIGID BODY MOTION 138

9 NONINERTIAL SYSTEMS AND FICTITIOUS FORCES 147

10 CENTRAL FORCE MOTION 156

11 THE HARMONIC OSCILLATOR 171

12 THE SPECIAL THEORY OF RELATIVITY 182

13 RELATIVISTIC DYNAMICS 196

14 SPACETIME PHYSICS 206




Downloaded by john gatheca ()

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