original table-formatted syllabus
Week
1
(8/26 – 8/30)
Lecture Topic
- course introduction
- Diagnostic Exam (Pass/Fail, re-work if Fail)
- terminology
- particle kinematics
- review, notation
Reading
Course Policies,
Chapter 1
Homework
group selection survey sheet
(if group members already chosen, please turn in sheets stacked together)
due Fri, 8/30
rework Diagnostic Exam if necessary
due Wed, 9/4
review undergraduate dynamics;
get ahead on reading assignments
Week
2
(9/2 – 9/6)
Lecture Topic
Labor Day (no class on Mon, 9/2)
- particle kinematics
- examples
Reading
Chapter 2
Homework
HMWK 1: 2-1 (20 pts), 2-6 (30 pts),
2-8 (25 pts), 2-11 (25 pts)
ERs:
2.1, 2.6 and 2.8: Use the general rotating coordinate system acceleration equation and clearly identify each term.
2.1: Place origin O’ at center of wheel.
2.6: Place origin O’ at radar station.
2.8: Place origin O’ at center of wheel with z-axis vertical. Also, use “rolling w/o slipping” vector equation to relate rotational speeds.
2.11: Use a “rolling w/o slipping” vector equation to relate rotational speeds.
scan of problems from the book
due Wed, 9/11
Week
3
(9/9 – 9/13)
Lecture Topic
- particle dynamics
- review
- examples
Reading
handouts;
Chapter 3
(except 3.7, 3.9)
Homework
catch up on reading assignments
Week
4
(9/16 – 9/20)
Lecture Topic
- particle dynamics
- momentum principles
- work and energy
- examples
Reading
Homework
HMWK 2: 3-1 (15 pts), 3-2 (30 pts),
3-11 (35 pts), 3-15 (20 pts)
ERs:
3-2: Report total speed (v) and velocity direction (φ) at r=2R.
3-11: Assume x_dot>0 (or 0 only instantaneously) during motion, and prove this assumption is valid after solving for x(t).
due Mon, 9/23
Week
5
(9/23 – 9/27)
Lecture Topic
- system of particles
- dynamics
- work and energy
- impulse and momentum
- examples
Reading
handout;
Chapter 4
Homework
HMWK 3a: 4-1 (20 pts), 4-13 (25 pts)
due Mon, 9/30
Week
6
(9/30 – 10/4)
Lecture Topic
- system of particles
- changing mass systems
- impact and collision
- examples
Homework
HMWK 3b: 4-26 (25 pts), 4-30 (30 pts)
ERs:
4-26: Use a stationary control volume enclosing only the material on the belt, and use the changing-mass system equation derived in class.
due Mon, 10/7
Week
7
(10/7 – 10/11)
Lecture Topic
- Exam I review
- generalized coordinates
- holonomic and nonholonomic constraints
- examples
Reading
handout;
Chapter 6
Homework
start reading and studying Chapter 6 thoroughly
Week
8
(10/14 – 10/18)
Lecture Topic
Exam I (Mon, 10/14)
(come early and/or stay late if possible?)
- virtual work
- principle of virtual work
Homework
HMWK 4a: 6-2 (25 pts)
ER:
6-2: Use the principle of virtual work (for a conservative system) approach (dV/dl=0 or dV/dθ=0)
due Mon, 10/28
Week
9
(10/21 – 10/25)
Lecture Topic
- virtual work example
- Lagrange’s Equation
- general form
- constraints and non-conservative forces
Homework
HMWK 4b: 6-7 (25 pts),
6-21 (25 pts), 6-26 (25 pts)
ER:
6-26: Use the mathematical hints given in class to solve part b. Or, as an alternative, solve the equations numerically (using software) for any values of m, l, and vo, and plot resulting motion.
due Mon, 11/11
Week
10
(10/28 – 11/1)
Lecture Topic
- Lagrange’s Equation
- Lagrange multiplier interpretation
- examples
Reading
Homework
catch up on reading assignments
Week
11
(11/4 – 11/8)
Lecture Topic
- Lagrange’s Equation
- examples
- proof
- Exam II review
- rigid body kinematics and
kinetics
- principal moments of inertia
- energy
Homework
catch up on reading assignments
Week
12
(11/11 – 11/15)
Lecture Topic
- rigid body kinematics and
kinetics
- example
- impulse and momentum
- examples
- perturbation/stability analysis
Reading
Chapter 7
(except 7.5, 7.13)
Homework
HMWK 5a: 7-12 (20 pts), 7-27 (20 pts),
7-30 (20 pts), 7-46 (20 pts)
ERs:
7-12: Use Lagrange’s Equation and conservation of energy.
7-27: Write linear and angular impulse-momentum equations for each bar separately. Do not analyze as a combined system.
7-30: Sum the moments about moving (but inertial) bottom point O to solve.
due Mon, 12/2
Week
13
(11/18 – 11/22)
Lecture Topic
- perturbation/stability analysis
- examples
Exam II (Wed, 11/20)
(come early and/or stay late if possible?)
No class on Fri, 11/22 (unless catch-up day required)
Reading
handout;
Section 5.7
Homework
HMWK 5b:
stability problem (20 pts)
due Mon, 12/9
Week
14
(11/25 – 11/29)
Fall Break
Week
15
(12/2 – 12/6)
Lecture Topic
- Euler Angles
- Euler’s Equations
- examples
Reading
handout;
Section 7.13
Chapter 8
(8.1, 8.2, 8.3)
Homework
finish reading assignments
Week
16
(12/9 – 12/13)
Lecture Topic
- Final Exam review
- rotational stability
No class on Friday, 12/13
Reading
Homework
final group evaluation
due Wed, 12/11
FINAL EXAM (in same room as lectures) – Wednesday, 12/18, 4:10-6:10pm