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Classical Mechanics
This chapter is in the book Classical Mechanics
A SolutionsInthisappendix,wepresentthesolutionsoftheproblemsshownattheendofeachchapter.SolutionsChapter11.1.Thefinalpositionwillbedeterminedbytheresultantvector:R=A+B(A.1)withmagnitudecalculatedasR=√A2+B2=√(3.0)2+(4.0)2=5.0m.(A.2)Therefore,youwouldfindyourself5.0mfromwhereyoustarted.Theanglewithre-specttotheeastcastisθ=tan−1(4.03.0)=53∘.(A.3)Thetotaldistancetraveledis3.0m+4.0m=7.0m.(A.4)1.2.(a) Thetwovectorsarepositioninginthexyplane,asshowninFig.1.24.(b) TheresultantvectorR=A+Bhasthesecomponents:Rx=Ax+Bx=3.5+4.0=7.5(A.5)andRy=Ay+By=(−2.0)+3.0=1.0.(A.6)(c) ThemagnitudeisR=√R2x+R2y(A.7)=√(7.5)2+(1.0)2=√56.25+1.0≈7.6.https://doi.org/10.1515/9783110755824-015
© 2021 Walter de Gruyter GmbH, Berlin/Munich/Boston

A SolutionsInthisappendix,wepresentthesolutionsoftheproblemsshownattheendofeachchapter.SolutionsChapter11.1.Thefinalpositionwillbedeterminedbytheresultantvector:R=A+B(A.1)withmagnitudecalculatedasR=√A2+B2=√(3.0)2+(4.0)2=5.0m.(A.2)Therefore,youwouldfindyourself5.0mfromwhereyoustarted.Theanglewithre-specttotheeastcastisθ=tan−1(4.03.0)=53∘.(A.3)Thetotaldistancetraveledis3.0m+4.0m=7.0m.(A.4)1.2.(a) Thetwovectorsarepositioninginthexyplane,asshowninFig.1.24.(b) TheresultantvectorR=A+Bhasthesecomponents:Rx=Ax+Bx=3.5+4.0=7.5(A.5)andRy=Ay+By=(−2.0)+3.0=1.0.(A.6)(c) ThemagnitudeisR=√R2x+R2y(A.7)=√(7.5)2+(1.0)2=√56.25+1.0≈7.6.https://doi.org/10.1515/9783110755824-015
© 2021 Walter de Gruyter GmbH, Berlin/Munich/Boston

Chapters in this book

  1. Frontmatter I
  2. Preface V
  3. Acknowledgment VII
  4. Contents IX
  5. 1 A brief review of calculus for physics 1
  6. 2 Physics and measurement 25
  7. 3 One-dimensional motion 36
  8. 4 Two- and three-dimensional motion 55
  9. 5 The laws of motion 77
  10. 6 Circular motion and other applications of Newton’s laws 97
  11. 7 Work and kinetic energy 104
  12. 8 Potential energy and conservation of energy 115
  13. 9 Linear momentum and collisions 127
  14. 10 Rotation of a rigid body 144
  15. 11 Rolling motion and angular momentum 162
  16. 12 Static equilibrium and elasticity 174
  17. 13 Oscillatory motion 182
  18. 14 Gravity 195
  19. A Solutions 207
  20. Bibliography 339
  21. Index 341
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https://doi.org/10.1515/9783110755824-015

Chapters in this book

  1. Frontmatter I
  2. Preface V
  3. Acknowledgment VII
  4. Contents IX
  5. 1 A brief review of calculus for physics 1
  6. 2 Physics and measurement 25
  7. 3 One-dimensional motion 36
  8. 4 Two- and three-dimensional motion 55
  9. 5 The laws of motion 77
  10. 6 Circular motion and other applications of Newton’s laws 97
  11. 7 Work and kinetic energy 104
  12. 8 Potential energy and conservation of energy 115
  13. 9 Linear momentum and collisions 127
  14. 10 Rotation of a rigid body 144
  15. 11 Rolling motion and angular momentum 162
  16. 12 Static equilibrium and elasticity 174
  17. 13 Oscillatory motion 182
  18. 14 Gravity 195
  19. A Solutions 207
  20. Bibliography 339
  21. Index 341
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