Chapter 4: Systems of Forces
and Moments
2-D Moments
Moment Vector
1
Moment of a Force
Moment of a force is measure of its tendency
to induce rotation
-F
Pin
F
F
Note: SF = 0
SFx = 0
SFy = 0
Equilibrium ?
No! Body wants to rotate
2
Moment of a Force (co

Winter Qtr Mixer
Tuesday, February 9, 2016
10:20 AM
WINTER QUARTER STEM STUDENT MIXER AND
SEMINAR
THURSDAY, FEBRUARY 11
3:00- 4:00 - STUDENT MIXER
4:00 5:00 - SEMINAR
LOCATION: UW2 - 005
At the Intersection of Chemistry and Anthropology:
The Conservation

UG Research Jan 25-29 2016
Thursday, January 21, 2016
11:27 AM
Wk4 '16 Page 1
Ex6 Equiv F-Couple 3D
Given: FAS
Find: Equiv F-Couple at O
Wk4 '16 Page 2
Ex7 Equiv F-Couple 3D
Given: FAS
Find: Equiv F-Couple at A
Wk4 '16 Page 3
Class Exercise - Equivalent F

N2-VM Shear and Moment Diagrams
W9'16VM Page 1
W9'16VM Page 2
W9'16VM Page 3
W9'16VM Page 4
N3 VM Diagram Steps
W9'16VM Page 5
VM guide
7
W9'16VM Page 6
ex1
Given the following simply supported beam, draw the
shear and moment diagrams to determine amount

Products of Vectors
Dot Product
Dot Product
Uses:
finding angle between vectors
finding vector components parallel and
perpendicular to a line (makes 3D component
resolution easy)
checking your work on the other vector product
(cross product later)
Dot

Chapter 2: Vectors
Vector Operations and Definitions
Cartesian Components
Products of Vectors
Force Vectors - Scalars & Vectors
Scalar a positive or negative number
ex: temperature, mass, time
Vector has both magnitude and direction
ex: position, force, m

Chapter 1: Introduction
Newtons Laws
Newtonian Gravitation
Unit Systems
AA210 University of Washington
2
Newtons Laws of Motion
Isaac Newton (1642 1727)
1st Law: Every object persists in its state of
rest or uniform motion in a straight line
unless it is

Chapter 10.4 - 10.7
Cables, Liquids & Gases
Hydrostatics
Center of Pressure
Hydrostatics
Pressure forces always act normal to body surface
Balloon
Liquid
Units: F/A metric: Pascal = N/m2, English: psi, psf
Ambient pressure is due to weight of air (and/o

Chapter 9: Friction
Dry Friction Theory
Wedges
Screw Threads
Belt Slippage
Journal Bearings
Thrust Bearings & Clutches
Rolling Resistance
1
1
Applications
In designing brake system for
bicycle, car, or any other
vehicle, it is important to
understand fric

Chapter 10.4 - 10.7
Cables, Liquids & Gases
Cables
Hydrostatics
Center of Pressure
Cables: Discrete Loads
Assumptions
1) Cable weight is negligible
2) Cable is flexible and inextensible
Relative to point A, there are
6 unknown coordinates, plus
3 unkno

Chapter 6: Structures in Equilibrium
Trusses: 2-D and 3-D
Method of Joints
Method of Sections
Frames and Machines
Applications
Trusses are commonly used to
support roofs
Given truss geometry & load,
how can we determine the
forces in the truss members

Segue to Internal Forces
Note: Forces in multi-force members do not align w/ joints
Example: 3-F member in equilibrium
A
B
C
Segment AB is in compression
Segment BC is in tension
For 3-F equilibrium, forces at joints must be concurrent
Bending
moment
Cy
M

N1 Machines and Frames
w8W16 Page 1
w8W16 Page 2
Ex1 Frame Example
GIVEN: FAS
FIND: Force in BD and reactions at C
w8W16 Page 3
Ex2 Machine Example
Sunday, November 9, 2014
12:05 PM
GIVEN: Vice grips
FIND: Magnitude of gripping force "Q" when two
60 lb fo

Name _Student ID _ Score_
last
first
Part I. [128 Points] Please be sure to mark all answers for Multiple Choice problems on your scantron
sheet! [xx 128/6 = 22.128/7=18]
1. [6 Points] The period of pendulum A is three times that of B. Pendulum A has a le

Name _Student ID _ Score_
last
first
Part I. [128 Points] Please be sure to mark all answers for Multiple Choice problems on your scantron
sheet! [xx 128/6 = 22.128/7=18]
1. [7 Points] The period of pendulum A is three times that of B. Pendulum A has a le

Final
Chapters: 1-10
Closed book
NO NOTES
Chapter 1
Equilibrium: F = 0 & Mp = 0
then: v v(t) or v = 0
F = FR
Action = Reaction
F = d(mv)/dt = ma
Weight on planet surface; e.g., Earth: W = mgo
Chapter 2 1/2
rAB = ( Bx Ax ) i + ( By Ay ) j + ( Bz Az ) k
!
!

11/24/2015
Chapter 9: Friction
Dry Friction Theory
Wedges
Screw Threads
Belt Slippage
Journal Bearings
Thrust Bearings & Clutches
Rolling Resistance
AA210 University of Washington - Autumn 2015
1
Applications
In designing brake system for
bicycle, car, or

11/2/2015
Chapter 10.4 - 10.7
Cables, Liquids & Gases
Cables
Hydrostatics
Center of Pressure
AA210 University of Washington - Autumn 2015
Cables: Discrete Loads
Assumptions
1) Cable weight is negligible
2) Cable is flexible and inextensible
Relative to

10/12/2015
Chapter 7: Centroids and
Centers of Mass
Center of Mass / Gravity
Centroids of Areas
Composite Body Techniques
Centroids of Volumes and Lines
Pappus-Guldinus Theorems
AA210 University of Washington - Autumn 2015
1
APPLICATIONS
To design st

10/30/2015
Chapter 6: Structures in Equilibrium
Trusses: 2-D and 3-D
Method of Joints
Method of Sections
Frames and Machines
AA210 University of Washington - Autumn 2015
Applications
Trusses are commonly used to
support roofs
Given truss geometry & lo

Final Exam
Dec. 16, 2015 (Weds)
2:30-4:20 BAG 131
Chapters: 1-10
Closed book
1 pg notes (2-sided)
Hint: see Review slides
AA210 University of Washington Autumn 2015
1
Chapter 1
Equilibrium: F = 0 & Mp = 0
then: v v(t) or v = 0
F = FR
Action = Reaction
F =

11/24/2015
Chapter 8: Moments of Inertia
Definitions
MoI about axes
MoI about point
Radius of Gyration
Product of Inertia
Parallel Axis Theorem
Derivation
Composite bodies
AA210 University of Washington - Autumn 2015
1
Applications
Many beams and

11/2/2015
Chapter 10.1-10.3
Internal Forces and Moments
Beams
Internal Force Diagrams
General load, shear, and moment relationships
AA210 University of Washington - Autumn 2015
Internal Forces
Internal force distributions
vary w/ position within
struct

Part I Lecture Multiple Choice Total 43 points
1. [5 pts] A double concave lens that has index of refraction equal to 1.45 has radii whose
magnitudes are equal to 32.1 cm and 24.7 cm. An object is located 80 cm to the left of the
lens. Find correct statem

Part I Lecture Multiple Choice Total 43 points
1. [5 pts] A double concave lens that has index of refraction equal to 1.45 has radii whose
magnitudes are equal to 32.1 cm and 24.7 cm. An object is located 80 cm to the left of the
lens. Find correct statem

~ Name Mvhcm\ 9W3
AA210 Statics
Midterm #Z-Autumn 2011
(50 min, 1 Page of Notes, show all work and F BD's)
print your name on all pages (Spts)
I abide by the Highest Standards in the UW Honor Code.
Name:- iChovA Shot. I. I
Signed: ' Mil-bod (Si-ML. " _
Na

.AA210 Statics
Midterm #l-Autumn 2011
(50 min, 1 Page of Notes [please turn in with exam], show all work
and FBD'S)
I abide by the Highest Standards in the UW Honor Code.
Name: Michaci rst (8
Signed: m :M Nme_+_m_
l. A couple of magnitude M=-80 ft*lbs and