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MECH 532/620 Intermediate Dynamics with Applications

Lecture: TR 2:00-3:15 pm in Bechtel 209
Office Hours: T 3:30-6:00pm, W 1:00-3:00pm, Th 3:30-5:00pm in Bechtel 532

Schedule

#	Date	Topic	Homework
01	T Aug. 26	OOR Chapter 1: Kinematics of a particle	HW01 - animating bases due Tuesday September 2.
02	R Aug. 28	cont.
03	T Sep. 02	cont.
04	R Sep. 04	No class	HW02 - orbital mechanics phase portrait due on Thursday September 11.
05	T Sep. 09	OOR Chapter 2: Kinetics of a particle	HW03 - particle inside a rough sphere due on Tuesday September 16.
06	R Sep. 11	OOR Chapter 3: Lagrange’s EOM for a single particle
07	T Sep. 16	cont.
08	R Sep. 18	cont.
09	T Sep. 23	Solving ODEs numerically
10	R Sep. 25	Coding Animations	HW04 - Lagrange’s EOM for a particle due on Tuesday October 7
11	T Sep. 30	OOR Chapter 4: Lagrange’s EOM for SOPs
12	R Oct. 02	OOR Chapter 5: Dynamics of SOPs
13	T Oct. 07	Different formulations of the EOM	HW05 - Lagrange’s EOM for SOP due on Tuesday October 15.
14	R Oct. 09	cont.
15	T Oct. 14	OOR Appendix A: Tensors
16	R Oct. 16	Midterm Exam and Solutions
17	T Oct. 21	OOR Chapter 6: Rotations and their representations	HW06 - Tensor Algebra due on Tuesday October 28
18	R Oct. 23	OOR Chapter 7: Kinematics of a RBs
19	T Oct. 28	OOR Chapter 8: Constraints and potential energy for RBs
20	R Oct. 30	OOR Chapter 9: Kinetics of a RB
21	T Nov. 04	OOR Chapter 10: Lagrange’s EOM for a single RB
22	R Nov. 06	cont.
23	T Nov. 11	Selected topics
24	R Nov. 13	cont.
25	T Nov. 18	cont.
26	R Nov. 20	cont.
27	T Nov. 25	cont.
28	R Nov. 27	cont.

Detailed Schedule

1. Tuesday Aug. 26

• Introducing MECH532/230 (Piazza, Gradescope, project, programming)
• 1.2 - Reference frames
• 1.4 - Cartesian, Cylindrical Polar, and Spherical Polar Coordinate systems
• 1.5 - Curvilinear Coordinates

2. Thursday Aug. 28

• 1.5 - Curvilinear Coordinates cont.
• 1.6 - Examples of curvilinear coordinate systems
• 1.3 - Kinetics of a particle
• 1.7 - Representation of particle kinematics

3. Tuesday September 2

• 1.8 - Kinetic energy and coordinate singularities
• 1.9 - Constraints
• 1.10 - Classifications of constraints
• Phase portraits

4. Thursday September 4

No Class

5. Tuesday September 9

• 2.2 The balance law for a single particle
• 2.3 Work and power
• 2.4 Conservative forces
• 2.5 Examples of conservative forces
• 2.6 Constraint forces
• 2.7 Conservations (read individually)

6. Thursday September 11

• 3.2 Lagrange’s equations motion
• 3.3 Equations of motion for an unconstrained particle
• 3.4 Lagrange’s equations in the presence of constraints

7. Tuesday September 16

• 3.5 A particle in motion on a smooth surface of revolution
• 3.6 A particle in motion on a sphere
• 3.9 Lagrange’s equations of motion for a particle in the presence of friction

8. Thursday September 18

• 3.7 Some elements of geometry and particle kinematics
• 3.8 The geometry of Lagrange’s equations of motion
• 3.10 A particle moving on a helix
• 3.11 A particle in motion on a moving curve

9. Tuesday September 23

• Matlab symbolics

10. Thursday September 25

• Solving EOM numerically + animations

11. Tuesday September 30

• Chapter 4

12. Thursday November 2

• Chapter 5

13. Tuesday November 7

• Different formulations of the EOM

14. Thursday November 9

• Different formulations of the EOM cont.

15. Tuesday November 14

• Appendix A: Tensor calculus

16. Thursday November 16

• Midterm Exam

17. Tuesday November 21

• Appendix A: Tensor calculus
• Chapter 6

18. Thursday November 23

19. Tuesday November 28

20. Thursday November 30

Later

• Vibrations