THE UNIVERSITY OF BRITISH COLUMBIA
2010/2011 WINTER SESSION
Physics 170 Mechanics I
Final Exam 3:30-6:00PM, Tuesday, April 19, 2011
Please write your name, student number, and course Section number on the exam answer booklet which is provided.
Write all w
Physics 170 - Mechanics
Lesson 18
12.1 - 12.7
Get New Worksheet
Good Morning 170
How was your Reading Break?
a)
b)
c)
d)
e)
Too hot.
Too cold.
Too short.
Too busy.
Im freaking out!
Recap and Preview
Last class
Static equilibrium
Friction, and the transi
Physics 170 Mechanics
Sections 8.1-8.8
%5 bonus to midterm
Dont worry if you took the test and
did poorly
Friction
Ff = s N
W
Box of
Bananas
Ff
P
N
Ff = d N
The force of friction is equal to how hard you push P, until you reach the
point of impending moti
Physics 170 - Mechanics
Lesson 19
12.1 - 12.7
Assignment 6 Due Friday
Recap and Preview
Last class
Dynamics
This class
Initial Conditions
Life in 3D
High school
dv
= (8 m / s 5 ) t 3
dt
78% of people
answered D).
dv
= (8 m / s 5 ) t 3
dt
Predicting th
Physics 170 - Mechanics
Lesson 20
12.1 - 12.7
Assignment 6 Due Today
Reading Assignment due Monday
Recap and Preview
Last class
Initial Conditions
Life in 3D
This class
Projectile Motion
Curvilinear motion
Formulas from High School
dv
a(t) =
dt
Two ma
Section 2.9 Dot Product
DOT PRODUCT OF TWO VECTORS (page 69)
Definition
! !
A i B = A B cos!
!
A is the magnitude of A
!
B is the magnitude of B
!
!
o
! is the angle between the tails of A and B ( 0 ! " ! 180 )
Dot product of Cartesian unit vectors
! !
Section 2.9 Dot Product (page 70)
APPLICATIONS OF THE DOT PRODUCT (page 1)
! !
A i B = A B cos!
APPLICATION 1: Angle Between Two Cartesian Vectors
!
!
The angle ! between the tails of two Cartesian vectors A and B :
! !
#
A i B&
"1
! = cos %
$ A B ('
!
!
Section 2.4 Addition of a System of Coplanar Forces (page 32)
CARTESIAN VECTOR IN TWO DIMENSIONS (page 1)
Section 2.4 Addition of a System of Coplanar Forces (page 32)
CARTESIAN VECTOR IN TWO DIMENSIONS (page 2)
Rectangular components of a vector
! !
!
F
Section 2.6 Addition of Cartesian Vectors (page 46)
RESULTANT OF A SYSTEM OF FORCES:
CARTESIAN VECTOR METHOD
!"
We want to determine the resultant F R of a system of forces
!"
! ! !
F1, F2 , F3, . That is, we want to determine the magnitude FR of F R
!"
Physics 170 Lecture 10
Finish Couple Moments
Moment of a Force in 3D
3D Cross Product
Moment Around a Given Axis
Midterm will be Friday October 14, during class time
Phys 170 Lecture 10
1
Moment of a Force in 2D
M = RF sin = RF = Fd = Rx Fy Ry Fx
Use whic
Physics 170 Lecture 6
Mastering Engineering Comments
Worksheet 2-5 solution
Chapter 3: Equilibrium of a Particle
Forces
Weight, Normal & Friction Forces
Cables and Pulleys
Spring Forces
Free-Body Diagrams
Sum of Force Vectors = 0
Phys 170 Lecture 6
1
Home
Physics 170 Lecture 2
Administrivia
A bit more on Units (Chapter 1)
Start Chapter 2: Vectors
Vector arithmetic in 2D
Phys 170 Lecture 2
1
Who
Professor Thomas Mattison
(experimental particle physics, accelerator physics)
Hennings 276 (south corridor, ente
Physics 170 Lecture 4
More on How To Solve It and Worksheet 2-3
3D Vector Angles
Component Notation
Unit Vectors
Cartesian Notation
Position & Displacement Vectors
Force Along a Line
Phys 170 Lecture 4
1
How To Solve It
George Polyas 4-step process
1.
2.
Physics 170 Lecture 3
Quiz in tutorials tomorrow
Mastering Engineering comments
More Vectors in 2D
How To Solve It
Phys 170 Lecture 3
1
Tutorial Quiz Tomorrow
One problem (or 2 short ones), done on paper, individually.
Same or similar problem, done in sma
Physics 170 - Mechanics
Lesson 21
12.7 - 12.10
Assignment 7 Due Friday
New Worksheet
Recap and Preview
Last class
Projectile motion
Curvilinear motion
This class
Practice Curvilinear motion
Cylindrical Coordinates
Nothing
Nothing
Nothing
Nothing
Nothi
Physics 170 Mechanics
Sections 5.1-5.7
Exam room posted on Connect
One 8.5x11 handwritten double
sided, no solutions
Must be handed in with midterm, or
you will get zero
Exam room posted on Connect
The massless beam is welded at point C.
1m
C
2m
A
B
10 kg
P HYS I C S 170 M EC H ANI C S I
Final Exam: 12 noo n to 3:30 pm, Frid ay, Ap ril 13, 2012
SOLUTION TO QUESTION 1
!
!
!
!
!
!
!
FA = Ay j + Az k
M A = M xi + M y j + M z k
!
! !
X = FBC / 12 + 2 2 +12
FBC = (i ! 2 j + k ) X
Supports
(b) Cartesian componen
P HYS I C S 170 M EC H ANI C S I
Final Exam: 3:30 p m to 6:0 0 p m, Wednesd ay , Decemb er 7 , 2011
SOLUTION TO QUESTION 1
b)
(20 marks)
page 1
Force of the strut on the door
!
!
!
" i + (3 + 3cos 40") ! + 6 k ] X
FCB = [ 3sin 40
j
(2 marks)
X = FCB / (3
THE UNIVERSITY OF BRITISH COLUMBIA
2011/2012 WINTER SESSION
SESSIONAL EXAMINATIONS
PH YS I CS 170 ME C H A NI CS I
3:30 p m to 6: 00 p m, Wednes day , December 7 , 2011
MARKS
This exam counts for a total of 60 marks towards your Final Grade for the course
PfIYSICS 170MECHANICSI
Final Exam: 7:00 pm to 9:30pm, ThursdayDecemb r 6,2012
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(20 marks)
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P HYS I C S 170 M EC H ANI C S I
Final Exam: 7:00 p m to 9:3 0 p m, Thurs day
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THE UNIVERSITY OF BRITISH COLUMBIA
2010/2011 WINTER SESSION
SESSIONAL EXAMINATIONS
PH YS I CS 170 ME C H A NI CS I
8:30 am to 11:00 am, Thu rsday , December 9 , 2010
MARKS
This exam counts for a total of 70 marks towards your Final Grade for the course.
T
Physics 170 Mechanics
Sections 5.1-5.7
New Worksheet
Exam room posted on Connect
memorization of the different types of supports
redundant constraints, static determinacy and indeterminacy
I do not understand the constraints with different types of
suppor
Physics 170 Mechanics
Sections 5.1-5.7
Change to assignment #4
Midterm 1: Tuesday Feb 9, 8-9 PM
Chapters 1-4 (covers this week's
homework, not this week's lectures)
Email me questions you have
for discussion on Friday
Worksheet Week 5 Q1
The pipe assembly
Physics 170 - Mechanics
Lesson 9
Sections 3.1-3.4, 4.1, 4.2
Assignment 2 due Today
Reading Assignment due Monday
Recap and Preview
Last class
More Static Equilibrium
This class
Cross Products
Simple applications to moments
Moment of a Force
(Torque)
Mo