Theoretische Physik 1, Theoretische Mechanik Winter Semester 2020/2021

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1 2 - 6 Nov. 2020 Introduction, math review, Newton’s laws, and frame of references

Sections: 1.3-1.7, 1.12-1.17, 2.2-2.3

Exercises: 1.5,1.8,1.10,1.15,1.19,1.24,1.26,1.28, 1.36,1.39

2 9 - 13 Nov. 2020 Equation of motion of a particle, Conservation theorems (Noethers theorem), Energy, Limitations of Newton’s mechanics

Sections: 2.4-2.7

Exercises: 2.4, 2.10, 2.13, 2.24, 2.27, 2.34, 2.40, 2.47, 2.52

3 16 - 20 Nov. 2020 Oscillations

Sections: 3.2-3.8 (extended to week 4)

Exercises: 3.4, 3.8, 3.18, 3.21, 3.28, 3.34, 3.38, 3.45

4 23 - 27 Nov. 2020 Nonlinear Oscillations and Chaos

Sections: Ch. 4 (and continuation of Ch. 3)

Exercises: 4.3, 4.10, 4.4, 4.24, 4.5, 4.12, 4.19, 4.21

5 30 Nov. - 4 Dec. 2020 Gravitation

Sections: 5.2-5.5, 6.2

Exercises: 5.4, 5.8, 5.11, 5.14, 5.19, 5.20

6 7 - 11 Dec. 2020 Calculus of Variations and Euler’s equation

Sections: 6.3-6.7

Exercises: 6.2, 6.6, 6.8, 6.11, 6.15, 6.18

7 14 - 18 Dec. 2020 Hamilton’s Principle, Generalized Coordinates, and Lagrangian and Hamiltonian Dynamics

Sections: Ch. 7 (part 1)

Exercises: 7.4, 7.7, 7.11, 7.15

8 4 - 8 Jan. 2021 Hamilton’s Principle, Generalized Coordinates, and Lagrangian and Hamiltonian Dynamics

Sections: Ch. 7 (part 2)

Exercises: 7.19, 7.31, 7.39, more exercises as provided

9 11 - 15 Jan. 2021 Central-Force Motion

Sections: Ch. 8

Exercises: 8.5, 8.10, 8.15, 8.21, 8.29, 8.36, 8.44

10 18 - 22 Jan. 2021 Dynamics of Systems of Particles

Sections: Ch. 9 (part 1)

Exercises: 9.10, 9.14, 9.22, 9.2, 9.12, 9.5, 8.33, 8.40

11 25 - 29 Jan. 2021 Dynamics of Systems of Particles (part 2)

Sections: Ch. 9 (part 2)

Exercises: 9.34, 9.47, 9.52, 9.62

12 1 - 5 Feb. 2021 Non-inertial frame of references, dynamics of rigid bodies (part 1)

Sections: Ch. 10, 11.2

Exercises: 10.3, 10.11, 10.17, 10.22, 10.2, 10.15

13 8 - 12 Feb. 2021 Dynamics of rigid bodies (part 2)

Sections: 11.3-11.12

Exercises: 11.3, 11.8, 11.13, 11.17, 11.23, 11.33