EnPh 270: Rigid body dynamics in two dimensions

Schedule and practical information

Prerequisites: EnPh 170.

Announcements:

Time and location: The class takes place T/Th 8:30 am-10:30 am in Hennings 201. The tutorial is on Friday, same place at 10 AM. Start date: Tuesday, May 12, 2015. End date: Friday, June 26, 2015

Midterm: Friday, June 5, 10AM-11:30AM in Hennings 201 (tutorial slot).

Exam: Friday, June 26, 2015, 10:00 AM am-12:00 noon in Hennings 201 (tutorial slot).

Credits: 2.

Grading: 25% test exams (work/ group work in the tutorials), 15% Mastering Engineering homework assignments, 20% midterm, 40% final exam.

Office hour: My office hour is Tuesdays 5-6 pm (Hennings 338) [adjustable].

Book: Engineering Mechanics, Statics and Dynamics, by R.C. Hibbeler (UBC custom edition is recommended, but any edition will work).

`Mastering Engineering' software: In addition to Hibbeler's book, you will need Mastering Engineering, a web-based software that will be used for homework assignments. Mastering Engineering can be purchased either in a package with Hibbeler's book or separately.

Lecture Notes:

Course outline

• Planar kinematics of rigid bodies. (40%)
• Planar kinetics of rigid bodies. (40%)
• Conservation laws etc. (20%)

We cover chapters 16 to 18 of Hibbeler's book.

Past & future lectures

Tuesday, May 12. Kinematics (Ch. 16 in Hibbeler). Translation and Rotation: Position, velocity and acceleration. General plane motion: velocity. See Sections 16.1, 16.2, 16.3, 16.5.

Thursday, May 14. General plane motion: the instantaneous center of rotation. See Sections 16.6.

Friday, May 15. Tutorial test 1.

Tuesday, May 19. General plane motion: acceleration. See Hibbeler Section 16.7.

Thursday, May 21. General plane motion: Relative motion analysis using rotating axes. See Hibbeler, Section 16.8.

Friday, May 22. Tutorial test 2.

Tuesday, May 26. General plane motion: ``Relative motion analysis using rotating axes'' continued. See Hibbeler, Section 16.8.

Thursday, May 28. Rigid body kinetics in 2 dimensions (Hibbeler, Ch.17). Planar equations of motion: derivation from Newton's axioms.

Friday, May 29. Tutorial test 3.

Tuesday, June 2. Rigid body kinetics in 2 dimensions - 2 example problems. (1) Statics, (2) linear accelaration.

Thursday, June 4. Mass moment of inertia (2D: Hibbeler, Ch.17.1). Addition: mass moment of inertia in 3 dimensions.

Friday, June 5. Midterm exam (90 min).

Tuesday, June 9. Rigid body kinetics in 2 dimensions - 3 example problems. (1) & (2) rotation about a fixed axis, (3) general plane motion.

Thursday, June 11. Project I: Tilting forklift (a forklift hits a pothole). Discussion of the problem, breaking it down into steps.

Friday, June 12. Tutorial Test 4: Tilting forklift continued.

Tuesday, June 16. Conservation laws: momentum, angular momentum and energy.

Thursday, June 18.Work and energy: Work done by a force and by a couple moment. The principle of work and energy. Conservation of energy.

Friday, June 19. (a) Continuation of Thursday's lecture: 2 examples. (b) Tutorial Test 5: Project II: Optimizing the motion of a welding robot. Discussion of the problem, key observations.

Tuesday, June 23. Review I.

Thursday, June 25. Review II.