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

handout

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

handout

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

handouts

Homework

final group evaluation

due Wed, 12/11