Problem 3.21) In a carnival booth, you win a stuffed giraffe if you
toss a quarter into a small dish. The dish is on a shelf above the point where the quarter leaves your hand and is a horizontal distance of 2.1 m from this point. If you toss the coin wi

Learning
Monday, September 28, 2009 10:08 AM
Involves some experience that results in a relatively permanent change in the state of the learner Why in different chapter than memory? Different intellectual histories Behaviorist past Focus on how environme

Rational choice theory
Wednesday, October 07, 2009 10:12 AM
People make decisions by comparing the expected utility of their options Expected utility = probability of outcome * value of outcome Choice 1:80% chance to get $10 EU = .8*$10 = $8.00 Choice 2:

Consciousness
Monday, October 12, 2009 10:14 AM
The person's subjective experience of the world and the mind: The mind's eye! Cartesian Theatre The source of some persistent (deep) questions:
Problem of other minds How do you know that other people are

Test 1 - Review
How to sketch surfaces Cylinders:
Quadric Surfaces:
1
How to find domain or sets of points where a function is continuous
How to find range
How to find/sketch level curves
How to show limits exist/don't exist
How to find partial derivativ

Physics 2305, FOUNDATIONS OF PHYSICS I, Spring 2009
Instructor
Dr. Yangsoo Kim, Office: 322E Robeson Hall E-mail: apiacere@vt.edu Phone: 231-7410
Office Hours Mondays, Wednesdays: 09:00 am 2:15 pm, 4:00 PM-5:15 PM, exceptions announced, and by appointment

Chapter 11: Equilibrium
1. Condition for Equilibrium
Requirement of Equilibrium
Balance of Force (Translational)
r F =0
Balance of Torque (Rolling)
r =0
The sum of all forces present in the x, y, and z directions are each distinctly equal to zero. The sum

2.5 Solve ODE by Laplace Transform
Example
x 2 x 10 x 0
x(0) 0
x (0) 1
solution
Laplace:
L x 2 x 10 x L 0
s 2 X s sx(0) x(0) 2 sX s x(0) 10 X s 0
1
s 2 2s 10
1
1
3
Xs
( s 1) 2 32 3 ( s 1) 2 32
Xs
PFE:
1
Inverse Lapalce:x (t ) L
X s 1 e t sin(3t )
3
Nee

4.3 PFE with MATLAB
F ( s)
N ( s)
D( s)
Both N(s) and D(s) are polynomials in s
N ( s ) b0 s m b1s m 1 bm 1s bm
D( s ) a0 s n a1s n 1 an 1s an
In MATLAB, polynomials are represented by arrays (row vectors) of numbers as follows, which
contains the coeffi

4.2 Block Diagram (also CH10.2)
Block Diagram can be regarded as a graphical form of Transfer Function
G ( s)
Y (s)
X ( s)
X(s)
Y ( s ) X ( s ) G ( s )
TF(s)
Y(s)
Key Points
1
in s domain
2
output Y(s)=X(s) * TF(s)
ZG2006
1
Basic Elements in Block Diagra

9. 3 Vibration in Rotating Mechanical Systems
1
Centripetal force and centrifugal force
2
Imbalance
3
EOM
4
Amplitude-frequency and phase-frequency plots
5
Frequency and speed of rotation
6
Natural frequency and critical speed
ZG2006
1
Centripetal Force &

Chapter 3 Mechanical Systems
Objective: Basic elements and modeling of Mechanical systems
Contents:
3.1 Unit System (SI and EE) and Newtons Laws of Mechanics
3.2 Basic Elements (Mass, Spring, Damper)
3.3 Modeling of Mechanical Systems
3.4 Application of E

9.4 Vibration Isolation (Base Excitation)
1 Force Excitation and Motion Excitation
2 Transmissibility
3 Transmissibility for Force Excitation
4 Transmissibility for Motion Excitation
5 Design of Vibration Isolation
ZG2006
1
Two Kinds of Vibration Isolatio

2.2 (b) Harmonic Motion
What is Harmonic Motion?
Consider a point Z, which moves along the circular orbit R with constant speed
Im (y)
z
R
t+
Re (x)
R radius of orbit or magnitude of Z (m or in.)
circular frequency (rad/s)
initial phase angle (rad)
ZG2

Chapter 2 The Laplace Transform
Objective: Mathematical preparation for the study of next chapters
Contents:
2.1 Introduction
2.2 Complex Numbers and Harmonic Motion
2.3 Laplace Transformation
2.4 Inverse Laplace Transformation
2.5 Solving Linear Differen

3.2 Mechanical Elements
In system dynamics, mechanical systems can be modeled as a
combination of following three elements:
Mass (inertial elements)
It represents the inertia of mechanical elements
Spring
It represents the flexibility of mechanical ele

Chapter 2 The Laplace Transform
Objective: Mathematical preparation for the study of next chapters
Contents:
2.1 Introduction
2.2 Complex Numbers and Harmonic Motion
2.3 Laplace Transformation
2.4 Inverse Laplace Transformation
2.5 Solving Linear Differen

Monday, September 21, 2009 10:18 AM
w5 Page 1
Monday, September 21, 2009 10:23 AM
w5 Page 2
Monday, September 21, 2009 10:53 AM
w5 Page 3
Wednesday, September 23, 2009 10:13 AM
w5 Page 4
Wednesday, September 23, 2009 10:38 AM
w5 Page 5
Wednesday, Septembe

General Chemistry 1035 Homework 5 Due on October 14 in class Make sure you have bubbled the correct student number. Failure to do so will result in a zero 1. Manganese has the oxidation number of +5 in (A) (B) [MnF6]3 Mn2O7 (C) (D) [MnO4]2 [Mn(CN)6]
2. An

General Chemistry 1035 Homework 4 Due on October 7 in class Make sure you have bubbled the correct student number. Failure to do so from this homework onwards will result in a zero for that homework 1. If 0.50 mol of Na3PO4 is mixed with 0.30 mol of BaCl2

Chapter 13: Periodic Motion
2. Simple Harmonic Motion
Simple harmonic motion:
Motion that follows a repetitive pattern, caused by a restoring force that is proportional to displacement from the equilibrium position.
Hooke's law :
F = -kx
x(t ) = A cos(t +

Chapter 14: Fluid Mechanics
1. Density
Fluid: A substance that can flow and conform to the shape of a container. Liquids and gases are fluids.
M Density : mass per unit volume, unit: kg/m = V
3
For water at 4C, =1000 kg/m3=1 g/cm3 Originally, g/cm3 was

Chapter 1 Units, Physical Quantities, and Vectors
3. Standards and Units
SI (Systme International (french) unit (or MKS unit) Time in s (second) Length in m (meter) Mass in kg An equation must be dimensionally consistent (be sure you're "adding apples to

Chapter 1 Units, Physical Quantities, and Vectors
3. Standards and Units
SI (Systme International (french) unit (or MKS unit) Time in s (second) Length in m (meter) Mass in kg An equation must be dimensionally consistent (be sure you're "adding apples to

Chapter 2 : Motion along a Straight Line
1. Displacement and Average Velocity
Position : the location of an object Displacement : the direction and distance of the shortest path between an initial and final position: x f - xi Velocity : speed and directio

Chapter 2 : Motion along a Straight Line
1. Displacement and Average Velocity
Position : the location of an object Displacement : the direction and distance of the shortest path between an initial and final position: x f - xi Velocity : speed and directio

Graphs of the motion with constant acceleration
Example) The figure shows a plot of vx(t) for a car traveling in a
straight line. (a) What is aav,x between t = 6 s and t = 11 s? (b) What is vav,x for the same time interval? (c) What is vav,x for the inter

Graphs of the motion with constant acceleration
Example) The figure shows a plot of vx(t) for a car traveling in a
straight line. (a) What is aav,x between t = 6 s and t = 11 s? (b) What is vav,x for the same time interval? (c) What is vav,x for the inter

Chapter 5 : Applying Newton's Law
1. Using Newton's 1st Law : Particles in Equilibrium
Until Chapter 9, we treat an object as a point particle: Rotational motion is not taken into account. Particle in equilibrium
r F =0
Fx = 0 Fy = 0
One dimensional equil