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 12
4.4 - 4.8
Homework 3 due Today
Reading Assignment Monday
Exam room posted on Connect
Exam room posted on Connect
Recap and Preview
Last class
couple moments
Moving forces
This class
Moving forces and Equivalent systems
There are two tests in life,
more important than any
other test. On Monday
morning, when you wake up,
do you feel in the pit of your
stomach you can't wait to
go to work? And when
you're ready to go home
Friday afternoon, do you
say, 'I can't wait to go
h
The midterm was
a)
b)
c)
d)
e)
Way too easy
A little too easy
Just right
A little too hard
Way to hard
I think I got
a)
b)
c)
d)
e)
less than 20/40
20/40 to 25/40
26/40 to 30/40
31/40 to 35/40
36/40 to 40/40
Physics 170 Mechanics
Sections 5.1-5.7 8.1-8.8
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
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
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
Physics 170 - Mechanics
Lesson 11
4.4 - 4.8
Recap and Preview
Last class
Moment about an axis
Moment of a couple
This class
Equivalent systems
Moving forces
M1
M2
M3
-F
F
Which vector properly represents the moment of the
force couple?
a)
b)
c)
d)
e)
You have to grow from the inside out. N
you, none can make you spiritual. Th
teacher but your own soul.
Physics 170 - Mechanics
Lesson 5
Sections 2.7-2.9
At the end of this lecture you will be able to find the
projection of a vector onto a line
Recap and
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
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Final Exam: 7:00 pm to 9:30pm, ThursdayDecemb r 6,2012
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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
Physics 170 - Mechanics
Lesson 8
Sections 3.1-3.4, 4.1, 4.2
Get New Worksheet
Assignment 2 due Friday
Recap and Preview
Last class
Static Equilibrium
This class
More Static Equilibrium
Worksheet Week 3 Q4
a)
Determine the tension developed
in the cables
Physics 170 - Mechanics
Lesson 10
4.4 - 4.8
Get new Worksheet
Recap and Preview
Last class
Cross Products
Simple applications to moments
This class
Moment about an axis
Moment of a couple
Equivalent systems
One of your comment
The concept of a torque
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
!"