| CMPE 9 |
 Introduction to Statics Dynamics & Biomechanics
Course Summary: Theory and application of mathematical models to analyze statics and dynamics of mechanical and biomechanical systems (particles and rigid bodies) using a vector algebra. Covers: Newton's laws; free-body diagrams; structure analysis; friction; virtual work; energy and momentum methods; dynamics of bodies in two and three dimensions.
Prerequisite: Math 19A, and Physics 5A/L or 6A/L, and AMS 10 or AMS 21
Assignments & Grading:
Problem Sets - 25% (10% Analytical [including pre]– 10% Matlab – 5% Biomech)
Attendance - 5%
Exam 1 Mid (Statics) - 35%
Exam 2 Final (Dynamics) - 35%
Textbook: Vector Mechanics for Engineers: Statics and Dynamics, Ferdinand Beer, Jr.,E. Russell Johnston, Elliot Eisenberg, Phillip Cornwell, David Mazurek, 10th Edition, McGraw-Hill 2012
ISBN-10: 0073398136
ISBN-13: 978-0073398136
Office Time TA / Tutor
Jane Li (TA)
Office: Engineering 2 Building, Room 205
Office Hours: Mon 11:00 - 12:00
OR Tue 11:00 - 12:00
E-mail: zhil@soe.ucsc.edu
Enes Mentese (Tutor)
Office: Engineering 2 Building, Room 205
Office Hours: By Appointment
E-mail: mentese@soe.ucsc.edu
Weekly Homework (Pre & Post Class)
Numerical Solutions (End of the Book)
Numerical solution - Computer Problems Part 1
Compter Problem (Example)
Comp Solutions (Example)
M-File (Exmaple)
Homework Problems - Color Code
Pre Class Marked in Pink (Required) - Due every class (TUE/THU)
Post Class Problem Marked in Red (Required) Due on THU
Computer Problem Marked in Green (Required) - DUE on THU
Biomechanics Problem
Problem Marked in Black (Extra Practice)
| Chapter |
Sections
(Read) |
Homework |
Week |
Statics
_
|
1
|
1.1 - 1.6
|
*
|
1a
|
| 2 |
2.1 - 2.8
2.9 - 2.11
2.12 - 2.14
2.15
Examples (18)-R1
Examples (19)-R2 |
Pre Class (THU): 2.23 (x-component)
Post Class(THU):
2.6, 2.25, 2.33,
2.46, 2.60,2.70,
2.82, 2.92, 2.89
2.115, 2.123, 2.125, 1.126
Computer Problem: 2.C5 (2.102)
Biomechanics Problem set 1
Problems Chapter 2
HW Solutions 1
|
1b |
| 3 |
3.1 -3.8
3.9-3.11 |
Pre Class (TUE):3.2
Post Class(THU):
3.4, 3.13, 3.22, 3.39,
3.41, 3.42, 3.55
|
2a |
| 3 |
3.12 - 3.16
3.17 - 3.20
Examples (08)-R1
|
Pre Class (THU): 3.107 (a)
Post Class(THU):
3.70, 3.83, 3.92, 3.98
3.116, 3.121, 3.129
Computer Problem: 3.C5 (c)
Biomechanics Problem set 2
Problems Chapter 3
HW Solutions 2
|
2b |
| 4 / 6 |
4.1 - 4.5
6.9 - 6.12 |
Pre Class (TUE): 4.3 (a)
Post Class(THU):
4.5, 4.10, 4.15, 4.25, 4.26
6.99, 6.110
6.135, 6.153
Problems Chapter 6
|
3a |
| 4 / 6 |
4.8 - 4.9
Examples (23)-R1
Examples (19)-R1
Examples (07)-R2
Examples (21)-R1
Examples (09)-R2
|
Pre Class (THU): 4.91 (b)
Post Class(THU):
4.94, 4.101, 4.105, 4.118, 4.133
Computer Problem: 4.C5
Biomechanics Problem set 3
Problems Chapter 4
HW Solutions 3
|
3b |
| 5 |
5.1 - 5.12
Examples (16)-R1
Examples (10)-R2 |
Pre Class (TUE): 5.96
Post Class(THU):
5.101, 5.106, 5.116, 5.114
Problems Chapter 5
|
4a |
| 8 |
8.1 - 8.4
8.10
Examples (11)-R1
Examples (09)-R2
|
Pre Class (THU): 8.2
Post Class(THU):
8.5, 8.21, 8.25, 8.32, 8.39, 8.43
8.105, 8.113, 8.109
Computer Problem: 8.C8
Biomechanics Problem set 4
Problems Chapter 8
HW Solutions 4
|
4b |
| * |
Review
All Chapters
|
Pre Class: None
Practice Exam
TA Section (Wed):
Bionics Lab - Visit
Post Class: None
Satics - Applications in Biomechanics
|
5 |
Exam 1 (Statics) - Mid Term - Week 6 - Wed During TA Section
|
Dynamics
_
|
11 |
11.1 - 11.3
11.4 - 11.6
|
Pre Class (TUE): 11.1
Post Class(THU):
11.1, 11.15, 11.20, 11.28
11.38, 11.39, 11.47, 11.57
Mid Term Exam (Wed):
During the TA
Section
|
6a |
| 11 |
11.9 - 11.12
11.13 - 11.14
Examples (27)-R1
|
Pre Class (THU): 11.89
Post Class(THU):
11.103, 11.116, 11.117, 11.126
11.141, 11.167, 11.178
Computer Problem: 11.C2
Biomechanics Problem set 5
Problems Chapter 11
HW Solutions 5
|
6b |
| 12 |
12.1 - 12.6
12.7 - 12.9
Examples (12)-R1
|
Pre Class (TUE): 12.66
Post Class(THU):
12.6, 12.21, 12.30, 12.37, 12.47, 12.58, 12.67, 12.93
|
7a |
| 13 |
13.1 - 13.5
13.6 - 13.8 |
Pre Class (THU): 13.9
Post Class(THU):
13.5,13.11, 13.36, 13.70
13.59, 13.67
Computer Problem: 12.C3
Biomechanics Problem set 6
Problems Chapter 12
Problems Chapter 13
HW Solutions 6
|
7b |
| 13 |
13.10 - 13.11
13.12 - 13.15
Examples (24)-R1
Examples (10)-R2
|
Pre Class (TUE): 13.144
Post Class(THU):
13. 141, 13.142, 13.134, 13.143
13.160, 13.166, 13.176
|
8a |
| 14 |
14.1 - 14.6
14.7 - 14.9
|
Pre Class (THU): 14.3
Post Class(THU):
14.1, 14.11, 14.12, 14.20 14.20,14.44, 14.50
Computer Problem: 13.C5
Biomechanics Problem set 7
Problems Chapter 14
HW Solutions 7
|
8b |
| 15 |
15.1 - 15.4
15.5 - 15.6
15.7
|
Pre Class (TUE): 15.6
Post Class(THU):
15.12, 15.13, 15.29
15.40, 15.52, 15.65 , 15.88,
|
9a |
| 15 |
15.8 - 15.9
15.10 - 15.11
9.11 - 9.15
Examples (21)-R1
|
Pre Class (THU): 15.105
Post Class(THU):
15.113, 15.122, 15.127, 15.153, , 15.177 9.112, 9.128, 9.143
Computer Problem: 15.C3
Biomechanics Problem set 8
Problems Chapter 15
Problems Chapter 9
HW Solutions 8
|
9b |
| 16 |
16.1 - 16.7
|
Pre Class (THE): 16.6
Post Class(THU):
16.14, 16.30, 16.41
16.47, 16.55, 16.64
|
10a |
| 16 |
16.8
Examples (16)-R1 |
Pre Class (THU): 16.75
Post Class(THU):
16.76, 16.102, 16.111
16.129,
Computer Problem: 16.C5
Biomechanics Problem set 9
Problems Chapter 16
HW Solutions 9
|
10b |
Exam 2 (Dynamics) - Final
|
| |
|
|
|
Class Notes
Class 00: Class 00A: Course Info.
Class 01: Class 01A: Introduction & Basic Ideas
Class 02: Class 02A: Statics of Particles
Class 03: Class 03A: Rigid Bodies Equivalent System - Part 1
Class 04: Class 04A: Rigid Bodies Equivalent System - Part 2
Class 05: Class 05A: Rigid Bodies Statics Equilibrium - Part 1
Class 06: Class 06A: Rigid Bodies Statics Equilibrium - Part 2
Class 07: Class 07A: Center of Gravity
Class 08: Class 08A: Friction
Midterm Exam - Practice
Biomechanics - Static Applications : Annotaed
Class 09: Class 09A: Kinematics of Particles - Part 1
Class 10: Class 10A: Kinematics of Particles - Part 2
Class 11: Class 11A: Kinetics of Particles - Newtons 2ed Law
Class 12: Class 12A: Kinetics of Particles Energy Momentum Part 1
Class 13: Class 13A: Kinetics of Particles Energy Momentum Part 2
Class 14: Class 14A: System of Particles
Class 15: Class 15A: Kinematics of Rigid Body Part 1
Class 16: Class 16A: Kinematics of Rigid Body Part 2
Class 17: Class 17A: Kinetics
Class 18: Class 18A: Plane Motion of Rigid Body
Frinal Exam - Practice
TA Sessions
TA Session 01
TA Session 02
TA Session 03
TA Session 04
TA Session 05
TA Session 06 (Midterm Exam Practice)
TA Session 07
TA Session 08
TA Session 09
Video Clips (Conceptual Physics)
Newton's Third Law
Projectile Motion
Friction
Centripital Force
Mass Vs Weight
Conservation of Energy
Impact - Golf Ball (1)
Impact - Golf Ball (2)
Impact - Base Ball
Impact - Tennis Ball
Conservation of Linear Momentum - Pool
Conservation of Angular Momentum – Lab Demo
Conservation of Angular Momentum – Ice Skating
Video Clips (Biomechanics)
Spine & Whiplash
Spine
Supplement References
(*) Matlab
MATLAB Tutorial
(*) Review
Vectors [5]
Vectors Review - R4
(*) Introduction
Describing the System and Its Motion [1]
(*) Rigid Body Static Equilibrium - Biomechanics Examples
Statics of the Body - Ch. 2 [2]
Statics - Ch. 5 [4]
(*) Kinematics of a Particle
Curvilinear Motion [3]
(*) Kinetics of a Particle - Enegry & Momentum
Morion - Ch. 3 [2]
Energy Transfers - Ch. 8 [4]
Impulse and Momentum - Ch. 7 [4]
(*) Kinetics of a Rigid Body
Relative Motion & General Motion (2D & 3D) [3]
References
[1] McLester J. and P. S. Pierre, Applied Biomechanics, Thomson Wadsworth 2008
[2] Irving P. Herman Biological and Medical Physics - Biomedical Engineering, Springer
[3] Hibbeler R. C. Engineering Mechanics - Statics & Dynamics
[4] Aydın Tözeren, Human Body Dynamics: Classical Mechanics and
Human Movement, Springer
[5] Eric Lengyel, Mathematics for 3D Game Programming and Computer Graphics, Charles River Media, Inc.
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