Review Session Final for CE2120-001

1. Review Session Final forCE2120-001 Dr. Zhang Spring 2014 4/30/2014

2. Final Exam • Event: CE2120-001 Final Exam • Time: 8:00 am-10:00 am • Date: Wed. May 7, 2014 • Location: Cast 212

3. Evaluation & Survey • TA evaluation form • SET(Student Evaluation of Teaching) survey Jin Zhu (Review Session Quiz 2) Yihong Ning (Review Session Quiz 1)

4. Rectangular components • Tangential & normal components • Radial and transverse components Overview Position, Velocity & Acceleration • Physics  Mechanics  1st • Forces • Motion • Conservative forces(work independent of path) • Gravity • Spring force • Gravitational force • Impulse forces (short time integral) • Linear momentum • Angular momentum

5. Motion • Forces (Velocity) Overview (cont.) 1st • Conservation of linear momentum • Conservation of angular momentum Impulse-Momentum (Velocities and time) (Forces and time) Work-Energy (Velocities and displacements) (Forces and displacements) Conservation of Energy Coefficient of Restitution

6. Overview 2nd • Physics  Mechanics  • Rigid bodies • Particles • Chapter 11 • Chapter 15 • Chapter 14 Newton’s 2nd Law • System of Particles D’Alembert’s Principle • Particles • Rigid bodies • Chapter 12 • Chapter 16

7. Motion • Forces (Velocity) Overview (cont.) 2nd After 2nd Midterm • Chapter 17 • Rigid bodies • Chapter 13 • Particles Impulse-Momentum (Velocities and time) (Forces and time) Work-Energy (Forces and displacements) Conservation of Energy (Velocities and displacements) Coefficient of Restitution

8. Work of Forces Acting on a Rigid Body Do the pin forces at point A do work? YES NO Does the force P do work? YES NO

9. Work of Forces Acting on a Rigid Body Does the normal force N do work on the disk? YES NO Does the weight W do work? YES NO If the disk rolls without slip, does the friction force F do work? YES NO

10. Overview Position Velocity Acceleration n • Particles • Rigid bodies Position Velocity Acceleration +xyz ++xyz+xyz

12. Typical Problems Length of the rope = constant • Pulley system • Projectile • Collar • Slope & Spring & Pendulum constant (one degree of freedom) Gravity force Conservation of energy (a)y = - 9.81 m/s2 (a)x = 0 m/s2 • Gravity force • Spring force • Conservation of energy

13. Typical Problems (cont.) • Conservation of angular momentum • Conservation of energy • Satellite • Impact Direct Central Impact Oblique Central Impact • Conservation of linear momentum • Coefficient of restitution [0 , 1]

14. Typical Problems (cont.) • Conservation of angular momentum • Conservation of energy • Combinations

15. Typical Problems • Multiple particles • The conservation of momentum and energy equations,

16. Typical Problems (cont.) • Kinematics of Rigid Bodies

17. Typical Problems (cont.) • Kinematics of Rigid Bodies

18. Typical Problems (cont.) • Kinematics of Rigid Bodies

19. Typical Problems (cont.) • Kinematics of Rigid Bodies

20. Typical Problems (cont.) 1. Isolate body y 3. Applied forces 5. Dimensions • Plan Motion of Rigid Bodies: F(M) and a(α) 6. Kinetic diagram 2. Axes 4. Replace supports with forces x NB q 0.225 m FB = 0.225 m W FA NA

21. Typical Problems (cont.) y • Plan Motion of Rigid Bodies: F(M) and a(α) x = FR mg NF NR

22. Typical Problems (cont.) • Plan Motion of Rigid Bodies: F(M) and a(α)

23. Typical Problems (cont.) • Plan Motion of Rigid Bodies: F(M) and a(α)

24. Typical Problems (cont.)

25. Good luck!

26. Recliner & Curvilinear Motion • Position, Velocity & Acceleration • Rectangular components • Tangential & normal components • Radial and transverse components