ASEN 2003 Lecture Outlines:  Spring 2007

Lecture #1 Tuesday, January 16

Introduction & Overview

▪         Course overview

▪         Kinematics and Kinetics

▪         Position, velocity, acceleration

▪         Rectilinear motion

▪         Relative motion

Reading Assignment

▪          Ch. 2, expect Quiz 1/18/07

Homework #1 Due 1/18/07 

▪          2.2.8, 2.2.14, 2.2.15, 2.5.7

Questions to think about

▪         What is the difference between dynamics and statics?

▪         If you know the position of a particle as a function of time, do you also know its velocity and acceleration?

▪         Is a spacecraft a particle or a rigid body?

Lecture #2 Thursday, January 18

Quiz

 

Curvilinear Motion

▪         Angular motion

▪         Cartesian coordinates

▪         Tangent-normal coordinates

▪         Polar coordinates

Reading Assignment

▪          Ch 3.1-3.3, 3.6

Homework #2 

▪          2.2.32, 2.3.23, 2.4.5, 2.4.14

Questions to think about

▪         When do you know/decide to use t-n or r-n coordinates?

▪         What is the derivative of a unit vector?

Lecture #3 Tuesday, January 23

Quiz

 

Newton’s 2nd Law

▪         Sum of the forces equals mass times acceleration

▪         Free Body Diagram

▪         Inertial Response Diagram

▪         Friction

Reading Assignment

▪          

Homework  #3 due 1/24

▪          3.1.6, 3.1.15, 3.1.26

Questions to think about

▪         What is the difference between a Free Body Diagram and an Inertial Response Diagram

▪          Could all particle dynamics problems be solved using F = ma?  If yes, why use energy and momentum methods?

▪         In a problem involving friction, what happens if your assumption that something slips (or doesn’t slip) turns out to be wrong?

▪         Does Newton’s 2nd Law ever NOT apply?

Lecture #4 Thursday, January 25

Newton’s 2nd Law

 

Orbital Mechanics

▪          2-Body Orbits

▪         Conic Sections

▪         Keplerian Elements

▪         Position and velocity in an elliptical orbit

Reading Assignment:  

▪          Ch 3.4 – 3.5, 3.7-3.9, 4

Homework #4 due 1/30

▪          3.2.5, 3.2.12, 3.3.7, 3.6.6

Questions to think about

▪         What shapes can an orbit have?

▪         What is conserved throughout orbital motion?

Lecture #5 Tuesday, January 30

Quiz

 

Work and Energy

▪     Kinetic and potential energy

▪         Work done by forces – friction, weight, springs, gravity

 

Reading Assignment:  None

 

Homework #5 due 2/1

▪          4.1.17, 4.1.24, 4.2.6, 4.2.8

Questions to think about:

▪       A particle is dropped straight down from a height, h, to the ground.  The same particle is then dropped along two frictionless ramps at inclinations of 70 deg and 40 deg, also starting from the same height.  Which of the following properties of the particle are the same / different when it reaches the ground in the three examples:  a) kinetic energy  b) potential energy  c) time to reach the ground d) speed  e) velocity  f) acceleration

 

 

Lecture #6 Thursday, February 1

Potential due to Gravity

Momentum Methods

▪         Momentum

▪         Conservation of momentum

 

Reading Assignment: None

 

Homework # 6 Due 2/6

▪         3.5.4, 3.5.29, 3.5.37, 3.5.43

 

Questions to think about:

▪       When solving a problem how do you know when it is best to use momentum or energy methods?  Is energy conserved in an impact

Lecture #7 Tuesday, February 6

 Momentum Methods

▪         Impacts

 

Reading Assignment: None

 

Homework #7 Due 2/8

▪          3.8.1, 3.8.17, 3.8.23

▪         Review previous exams

 

Questions to think about:

▪          

Lecture #8 Thursday, February 8

 

Frew: review for exam 1

 

Larson

Overview of Rigid Body Dynamics – kinds of problems tackled

▪         Review of problem solving approach

Kinematics of Planar Motion

▪         Angular velocity and acceleration vector definitions

▪         Relative velocity on a rigid body

▪         Rotation about a fixed center

▪         Rolling without slipping

 

Reading Assignment: None

 

Homework: None

 

Questions to think about:

 

Lecture #9 Tuesday, February 13

 

EXAM 1

▪         45 minutes in class

▪         Closed book

▪         1 side of 1 sheet of paper for notes

Lecture #10 Thursday, February 15

 

 

Lecture #11 Tuesday, February 20

 

 Reading Assignment: 

 

Homework

 

Questions to think about:

 

▪          

Lecture #12 Thursday, February 22

 

 

Reading Assignment: 

 

Homework

 

Questions to think about:

▪          

Lecture #13 Tuesday, February 27

 Reading Assignment: 

 

Homework

 

Questions to think about:

 

▪          

Lecture #14 Thursday, March 1

 

Reading Assignment: 

 

Homework

 

Questions to think about:

 

Lecture #15 Tuesday, March 6

 

 EXAM 2

▪          

Lecture #16 Thursday, March 8

Reading Assignment: 

 

Homework

 

Questions to think about:

 

 

Lecture #17 Tuesday, March 13

 Reading Assignment: 

 

Homework

 

Questions to think about:

 

▪          

Lecture #18 Thursday, March 15

 Reading Assignment: 

 

Homework

 

Questions to think about:

 

 

Lecture #19 Tuesday, March 20

 Reading Assignment: 

 

Homework

 

Questions to think about:

 

▪          

Lecture #20 Thursday, March 22

 Reading Assignment: 

 

Homework

 

Questions to think about:

 

 

Lecture #21 Tuesday, April 3

 

Rotating Reference Frames

Laplace Transforms 

Reading Assignment: 

 

Homework  

 

Questions to think about:

▪          

Lecture #22 Thursday, April 5

 

EXAM 3

 

Lecture #23 Tuesday, April 10

 

Second Order Systems

Undamped 2nd Order Systems

Beam Vibration Model

 

Reading Assignment:  

 

Homework:

 

Questions to think about:

▪         What determines the period of oscillation of a mass attached to a spring?

▪         When a spring-mass system is excited by a sinusoidal input, what variables determine the amplitude and frequency of the output?

Lecture #24 Thursday, April 12

 

Damped Second Order Systems

 

Reading Assignment

 

Homework

 

Questions to think about:

▪         How does the damping ratio change the initial condition response of a system?

How does the step response and harmonic response of a system change as a function of the damping ratio or the natural frequency

Lecture #25 Tuesday, April 17

 

▪         ??

Lecture #26 Thursday, April 18

 

?

Lecture #27 Tuesday, April 24

 

▪          

Lecture #28 Thursday April 25

EXAM 4

Lecture #29 Tuesday, May 1

 

▪          

Lecture #30 Thursday May 3

Review for final