Homework #2
Due: 5pm, Sep. 28, 2015
1. Problems 2.1 (10pints)
2. Problems 2.3(15pints)
3. Consider a wing-body model with Cmac,wb 0.022 , h 0.33 , hac,wb 0.22 ,
awb 0.08 . The area and chord of the wing are 0.1 m 2 and 0.1 m, respectively. Now
assume that

Solutions for Home Work 2
Problem 3
Consider a wing-body model with Cmac,wb 0.022 ,
h 0.33 , hac,wb 0.22 ,
awb 0.08 . The area and chord of the wing are 0.1 m 2 and 0.1 m, respectively. Now assume that
a horizontal tail is added to this model. We have the

Non-Linear Vibration
Prof. S. K. Dwivedy
Department of Mechanical Engineering
Indian Institute of Technology, Guwahati
Module - 1
Introduction
Lecture - 3
Commonly Observed Nonlinear Phenomena
(Refer Slide Time: 00:19)
Welcome to the third class on this n

Aircraft Flight Dynamics
Lecture 5
XIAOLI BAI
SEP.21, 2015
Xiaoli Bai
Notice
Please leave ASAP after the lecture. We have a few students
take a quiz. Thanks for your corporation!
Differences between the slides and the book: some are from
the recommended

Quiz #5
Due 7am Dec. 14 ( a box outside of B222)
Name_
(Print Your Name)
I certify that I have neither given help to, nor received help from, any individual in
matters relating to this examination.
_
Signature
NOTE:
1) Include your code in the submission

Homework #2
Due: 5pm, Sep. 26, 2015
1. Problems 2.1 (10pints)
2. Problems 2.3(15pints)
3. Consider a wing-body model with Cmac,wb 0.022 , h 0.33 , hac,wb 0.22 ,
awb 0.08 . The area and chord of the wing are 0.1 m 2 and 0.1 m, respectively. Now
assume that

Homework 2 Solutions
Problem 1
Solution:
1) Determine the trim lift coefficient
= @
+ = @
=0
+
=0
pitch moment at zero lift is equal to 0.08 @
the slope of the Cm versus CL curve is 0.15
airplane is flying at the trim point = 0
=0
= 0.15
therefore 0

ATTITUDE REPRESENTATION
Attitude cannot be represented by vector in 3-dimensional space, like
position or angular velocity, even though attitude is a 3-dimensional
quantity.
Attitude is always specified as a rotation relative to a base, or reference
frame

Quiz #3
Due in class 5pm Nov. 9 (submit paper)
Name_
(Print Your Name)
I certify that I have neither given help to, nor received help from, any individual in
matters relating to this examination.
_
Signature
NOTE:
1) Please write down your steps clearly.

Quiz #4
Due 7am Dec. 14 ( a box outside of B222)
Name_
(Print Your Name)
I certify that I have neither given help to, nor received help from, any individual in
matters relating to this examination.
_
Signature
NOTE:
1) Include your code in the submission

5.2 GRAM-SCHMIDT PROCESS AND QR
FACTORIZATION
How can we construct an orthonormal basis?
Say, from any basis v1, v2, . . . , vm of a subspace
V?
If V is a line with basis v1:
1
w1 =
v1
v1
When V is a plane with basis v1, v2, we rst
get w1 as above.
Next n

Aircraft Flight Dynamics
Lecture 19
XIAOLI BAI
NOV 16, 2015
FOR EDUCATION PURPOSE ONLY
Notes
HW 9: posted
Final Proposal:
start
Estimation: will guide you next class
Return those either disqualified or I have concerns
Others, feel free to discuss if y

Particle Kinematics: x-y Coordinates
Current unit: Particle Kinematics
Last class: Curvilinear, Circular, Projectile Motion
Today:
(a) Math Preliminaries: Dot notation, chain rule
(b) Path Known x-y Problem
(c) Parametric Equations x-y Problem
Math Prelim

Aircraft Flight Dynamics
Lecture 21
XIAOLI BAI
NOV 23, 2015
FOR EDUCATION PURPOSE ONLY
A few schedules
HW 10 assigned, due Dec. 7 ( 2 weeks, so make plans)
Final presentation: Dec. 7 (5-6:30pm)
Flight Day:
Dec. 21, 4pm - 7pm
tentatively, will check w

Aircraft Flight Dynamics
Lecture 20
XIAOLI BAI
NOV 18, 2015
FOR EDUCATION PURPOSE ONLY
Notes
Extra lecture: Nov. 23
2 responses
Then I will have this in my office.
Revised Proposals: ASAP, so you can start.
Sample Final Project: next slide
FOR EDUCA

Aircraft Flight Dynamics
Lecture 17
XIAOLI BAI
NOV 9, 2015
FOR EDUCATION PURPOSE ONLY
HW8: assigned
4.6
4.7
4.9
4.10
4.11
FOR EDUCATION PURPOSE ONLY
2
Todays class:
FOR EDUCATION PURPOSE ONLY
3
FOR EDUCATION PURPOSE ONLY
Read/Study page 57 of Nelson.
4
Re

Homework #6
Due: 5pm, Nov. 7, 2016
Problem 1:
(a) Provide two reasons of why equations of motion in airplane flight dynamics are always
expressed in a body-fixed reference and not in an inertial reference.
(5 points) Reason #1:
(5 points) Reason #2:
(b) (

Homework #4
Due: 5pm, Oct. 24, 2015
Problem 1. (40pt) An observer positioned at 30 degrees North latitude on the surface of the earth
tracks a satellite.
You may assume that the inertial frame of reference for the problem is attached to the center of the

Homework #5
Due: 5pm, Oct. 31, 2015
Problem 1. If the orientation of two aircraft A and B relative to an inertial frame be given
through the asymmetric (3-2-1) Euler angles Ea=[30,-45,60]T and Eb=[10,25,-15]Tdegrees, what
are the relative orientation of a

Homework #1
Due: 5pm, Sep. 19, 2016
1. (5points) This is a survey question:
a. What are your reasons to register for this course? What you hope to gain?
2. (15points) List
a. All you know about the physical characteristic of the glider.
b. All you know ab

Aircraft Flight Dynamics
Lecture 19
XIAOLI BAI
NOV 30, 2016
FOR EDUCATION PURPOSE ONLY
Note
Two lectures left: Nov. 28 and Nov. 30
Presentation due: 11:59pm Dec. 4.
Your 3 min talk: the part you are mostly proud of your project.
Label your presentatio

Homework 10 Solutions
Problem 1
Solution:
For this problem we must first develop the equation of motion
=
From Figure P5.3 we can easily see that the model spins down from
10.5 rad/s to zero roll rate when the motor drive is disengaged. This
implies tha

Aircraft Flight Dynamics
Lecture 16
XIAOLI BAI
NOV 16, 2016
FOR EDUCATION PURPOSE ONLY
NOTE
We will have a 30min lecture, and then you will take a 30min quiz.
If we have time, I will briefly talk about the derivations of the rotational kinematics, and t

Aircraft Flight Dynamics
Lecture 15
XIAOLI BAI
NOV 14, 2016
FOR EDUCATION PURPOSE ONLY
Note
A short quiz on Wed. Nov. 16. After 30min of lecture.
Focus on:
State space
Solutions of ODEs we have talked in the class
Perturbation concept
Difficult leve