Week

Lecture Topics

Reading
Assignment

Book Homework and Extra Requirements (ERs)

1
(8/26 - 8/30)

• course introduction
• Diagnostic Exam (Pass/Fail, re-work if Fail)
• terminology
• particle kinematics
  • review, notation

Course Policies,
Chapter 1

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

2
(9/2 - 9/6)

Labor Day (no class on Mon, 9/2)

• particle kinematics
  • examples

Chapter 2

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

3
(9/9 - 9/13)

• particle dynamics
  • review
• examples

handouts;
Chapter 3
(except 3.7, 3.9)

catch up on reading assignments

4
(9/16 - 9/20)

• particle dynamics
• momentum principles
• work and energy
• examples

handout

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

5
(9/23 - 9/27)

• system of particles
• dynamics
• work and energy
• impulse and momentum
• examples

handout;
Chapter 4

HMWK 3a: 4-1 (20 pts), 4-13 (25 pts)
due Mon, 9/30

6
(9/30 - 10/4)

• system of particles
• changing mass systems
• impact and collision
• examples

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

7
(10/7 - 10/11)

• Exam I review
• generalized coordinates
• holonomic and nonholonomic constraints
• examples

handout;
Chapter 6

start reading and studying Chapter 6 thoroughly

8
(10/14 - 10/18)

• virtual work
• principle of virtual work

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

9
(10/21 - 10/25)

• virtual work example
• Lagrange's Equation
  • general form
  • constraints and non-conservative forces

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

10
(10/28 - 11/1)

• Lagrange's Equation
• Lagrange multiplier interpretation
• examples

handout

catch up on reading assignments

11
(11/4 - 11/8)

• Lagrange's Equation
• examples
• proof
• Exam II review
• rigid body kinematics and kinetics
• principal moments of inertia
• energy

catch up on reading assignments

12
(11/11 - 11/15)

• rigid body kinematics and kinetics
• example
• impulse and momentum
• examples

• perturbation/stability analysis

Chapter 7
(except 7.5, 7.13)

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

13
(11/18 - 11/22)

• 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) - WE WILL NOT HAVE CLASS

handout;
Section 5.7

HMWK 5b:
stability problem (20 pts)
due Mon, 12/9

14
(11/25 - 11/29)

15
(12/2 - 12/6)

• Euler Angles
• Euler's Equations
• examples

handout;
Section 7.13
Chapter 8
(8.1, 8.2, 8.3)

finish reading assignments

16
(12/9 - 12/13)

• Final Exam review
• rotational stability

No class on Friday, 12/13

handouts