Adding Vectors Graphically and Component Method
Objective
To learn how to add vectors graphically and component method and compare with
expected resultant vector.
Equipment
1. protractor
2. ruler
3. paper
4. force table
5. set of masses
6. triple-beam bal
Collisions
Def: A collision is an event in which 2 or more objects
interact for a very short period of time. During this time, the
external forces (if any) on the system are much smaller than
the internal impulsive forces between the objects and thus
can
Spring Force
How do we calculate the work done by a non-constant force? Before we answer
the question lets consider the spring force which is an example of a nonconstant force.
Consider the following Spring-Mass System.
a) Note that the spring force Fs is
SCALAR (DOT) PRODUCT
Before we define work in physics we need to first define the scalar (dot) product between
two vectors. The reason for this is because we will define work in terms of the scalar (dot)
product between the force vector and displacement v
POTENTIAL ENERGY
Often the work done on a system of two or more objects does not change the kinetic energy of
the system but instead it is stored as a new type of energy called POTENTIAL ENERGY. To
demonstrate this new type of energy lets consider the fol
VECTORS
DEF: A vector is a quantity that has both magnitude and direction.
DEF: A scalar is a quantity that has magnitude but NO direction.
Ex.
Vectors
Force
Velocity
Displacement
Momentum
Ex.
Scalars
Temperature
Time
Mass
Speed
Vector Notation
A Boldface
Physics 2A Lecture Final Review
1. MOTION IN 1-D
a) Understand the terms and concepts required to describe the motion of a particle
moving in one dimension.
b) Know how to use the kinematic equations to describe the motion of an object moving
with constan
DO NOT TURN THIS PAGE!
Name: _
Physics 2A
Winter 2010
Exam 3
MAKE SURE TO SHOW ALL WORK IN COMPLETE DETAIL! NO CREDIT WILL BE GIVEN IF NO
WORK IS SHOWN! EXPRESS ALL ANSWERS IN SI UNITS.
1. A bead slides without friction around a loop-the-loop as shown bel
CLASSICAL MECHANICS (WHAT IS IT?)
The main problem of classical mechanics is to use its laws
and principles to describe the motion (position and velocity)
of a body at any time given some set of initial conditions.
The laws of Classical Mechanics (especia
I. 3x1 Ha 4/WC (10(ny
:2- mu "\Mh-a'd WP Iawof 5mm; R wsmrs
5 . aid {Ail-(n _, {I if in LL:
A
if : ii +*35 \\3
~g .. am -r ~+g
qJ
M ((+39 *EMHQ 12w)? [J(as1'+-ion is a fL-mimu
-1- Slope a); [SUPP 2) E
or nwu[
d3 "
-r..__.......
elf
DO NOT TURN THIS PAGE!
Name: _
Physics 2A
Winter 2011
Exam 2
MAKE SURE TO SHOW ALL WORK IN COMPLETE DETAIL. NO CREDIT WILL
BE GIVEN IF NO WORK IS SHOWN. EXPRESS ALL ANSWERS IN SI UNITS.
0
1. Consider the Atwoods Machine system shown below. Assume massless
DO NOT TURN THIS PAGE!
Name: _
Physics 2A
Winter 2010
Exam 1
MAKE SURE TO SHOW ALL WORK IN COMPLETE DETAIL. NO CREDIT WILL BE
GIVEN IF NO WORK IS SHOWN. EXPRESS ALL ANSWERS IN SI UNITS.
0
1. At a construction site a pipe wrench fell from rest and struck t
Physics 2A Equation Sheet
r = rf ri
Displacement
Wnc = K + U
r
t
dr
v=
dt
v
a=
t
dv d 2 r
a=
=
dt dt 2
v = vo + at
Average velocity
Ki+Ui = Kf+Uf
Instantaneous velocity
P = MV
Average acceleration
dP
Fext = dt
I = Fext (t 2 t1 )
v=
x = xo + vo t + (1/ 2)
MEASUREMENTS AND ERROR ANALYSIS
Objective
1. To learn how to use the following measuring devices and understand the
uncertainties associated with them.
a) meter stick
b) metric ruler
c) triple-beam balance
d) digital balance
e) vernier calipers
2. Calcula
CENTRIPETAL ACCELERATION
OBJECTIVE
To calculate the net force on an object moving in uniform circular motion and compare
with the expected value.
THEORY
A. Mass Rotating in Uniform Circular Motion
Consider the Centripetal Force Apparatus below. The mass M
ATWOODS MACHINE
OBJECTIVE
To calculate the acceleration of the Atwoods Machine experimentally by using the
kinematic equations of motion and to compare to the expected value obtained from
applying Newtons 2nd Law to the Atwoods Machine.
EQUIPMENT
1.
2.
3.
Law of Gravitation
In 1687 Isaac Newton published his Law of Gravitation which is stated mathematically in
the following form:
Fg =
Gm1m2
r2
Law of Gravitation
G = 6.672 1011
Nm 2
kg 2
Fg
(Gravitation Constant)
m2
Fg
R2
m2
r
Fg
Fg
m1
r
R1
m1
Although the
FRICTION
One type of force that we have not yet considered is that due to friction. The following situations
demonstrate the two types of frictional forces we will be considering static and kinetic frictional forces.
N
no applied force;
object remains at
Error Propagation
The analysis of uncertainties (errors) in measurements and calculations is essential in the
physics laboratory. For example, suppose you measure the length of a long rod by
making three measurement x = xbest x, y = ybest y, and z = zbest