Lab 8: Circular Motion,
Part 1
Newtons 2nd Law for
Rotational Motion
PHYSICS DEPT
Centripetal Acceleration
Acceleration=change in velocity
over time.
Speeding-up, slowing-down, or changing
directions. For radial (centripetal)
acceleration our focus is o
Lecture 29
Review for the Final Exam
P2014 Grade Distribution in 2009
Final Exam: Friday May 7, 12:00 to 1:50 pm
PHYS2014 Final Grade
40
Chapters 1-14
One formula sheet is posted
Two practice exams are posted
Three clicker quizzes are open on Webassign
No
Lab 2: Introduction to
Vectors
Graphical and Analytical
Addition of Vectors
PHYSICS DEPT
Vector vs. Scalar
PHYSICS DEPT
Scalar
Vector
A quantity that has both a magnitude
only a magnitude
with proper units and a direction.
units.
The direction is not ju
Lab 3: Falling Bodies
Kinematics in One-Dimension
PHYSICS DEPT
PHYSICS DEPT
Ex: Bowling ball traveling down a
ramp
What is the relationship between the distance
traveled and the time traveled?
According to theory: x=x0+v0t+(1/2)at2
x0=0
v0=0
x=(1/2)at2
Lab 1: The Measurement
of Mass and Length
Uncertainty in Measurements
PHYSICS DEPT
PHYSICS DEPT
Measurements and
Uncertainty
Every measurement has some
uncertainty based on the
instrument being used.
The goal is to minimize the
uncertainty
The instrume
Lab 5: The Atwood
Machine
Measuring the Acceleration
Due to Gravity
PHYSICS DEPT
Newtons 2nd Law
PHYSICS DEPT
F=ma
Can predict motion of object using
Newtons 2nd Law.
According to Newtons Second Law, the
net force acting on the object causes the
object
Lab 4: Projectile Motion
Kinematics in Two-Dimensions
PHYSICS DEPT
What is Motion?
PHYSICS DEPT
Motion of a particle can be
thought of as a series of
displacements that the particle
makes in time.
Motion has three parts
Displacement
Velocity
Accelera
Lab 6: Work Energy and
Friction
The Work-Energy Theorem
PHYSICS DEPT
Work-Energy Theorem
PHYSICS DEPT
The work this to our system, wethat
Applying energy theorem says are
able to work done by a force acting
the net get the frictionalsystem is
between the
Lab 7: The Ballistic
Pendulum
Conservation of Linear
Momentum and Mechanical
Energy
PHYSICS DEPT
PHYSICS DEPT
Conservation of Mechanical
Energy
E
E
mech
i
mech
f
E mech GPE KE
Applies only when the non-conservative forces do
no net work.
What are non-co
Lab 9: Circular Motion,
Part 2
Conservation of Rotational
Momentum and Mechanical
Energy
PHYSICS DEPT
Comparing Linear Motion to Rotational
Motion
Resistance to change in
motion
Position
m (kg)
I (kgm2)
x (m)
(rad)
Time rate of change in
position
v=x/t (
Lab 10: The Simple
Pendulum
Simple Harmonic Motion
PHYSICS DEPT
PHYSICS DEPT
Simple Harmonic Motion and the
Simple Pendulum
When the pendulum is displaced
from its equilibrium position, there is
a restoring force that drives it back
to the equilibrium
T
Lab 11: Hookes Law
Measuring the Proportionality
Constant of Elastic Springs
PHYSICS DEPT
Hookes Law
PHYSICS DEPT
For each spring, the amount of force
required to stretch or compress it is
determined by the spring constant, k.
The spring constant, k, is
An Example of Oscillations!
Lecture 23
Chapter 13: Oscillations
Collapse of the Tacoma Narrow Bridge
Todays topics:
Today
(1) Examples of oscillations
(2) What type of forces cause oscillations?
(3) Simple harmonic oscillations
Oscillations
OSU PHYS2014 L
Reminder: angular velocity,
acceleration
Angular Displacement
= 2 1
t = t2 t1
Angular Velocity
avg
d
;
t
dt
Angular Acceleration
LECTURE 20: ROTATIONAL
VECTORS AND ANGULAR
MOMENTUM
avg
;
t
Chapter 10
3/23/2010
3
r
= lim
t 0
r
d
dt
The angular veloci
Lecture 20
Rotations of the Earth
Chapter 11: Rotational Vectors
And Angular Momentum
Does earthquake shorten the day?
What determines day length and
seasons?
Todays topics:
Today
L = I
(1) Does earthquake change day length?
(2) Rotations for Navigation (
Center of Mass
Lecture 16
r
rcm =
r
m r
ii
M
where M = mi
Todays Topics:
Review
Elastic collision
Inelastic collision
Collision between two galaxies
OSU PHYS2014 Lecture 16 (Xie)
1
Example
OSU PHYS2014 Lecture 16 (Xie)
2
Totally Inelastic Collision (2D)
T
Chapter 8: Universal Gravity
Lecture 13
Chapter 8: Gravitation
Introduction
Introduction
Law of gravitation
Law
Applications
Applications
What is the force that holds
a man to Moon, Moon to
Earth, and Earth to Sun?
OSU PHYS2014 Lecture 13 (Xie)
1
OSU PHYS
The Sun was formed about 4.57 billion years ago when a
hydrogen molecular cloud collapsed under gravitational force.
Lecture 14
Chapter 8: Gravitation
The Sun contains 99.86% of
the mass in the solar system!
Galaxies & universe
Galaxies
Gravitational pote
Lecture 21
What is static equilibrium?
Chapter 12: Static Equilibrium
The system is absolutely still!
No motions at all!
Todays topics:
Today
(1) Examples of static equilibrium
(2) How to ensure static equilibrium?
(3) Examples
Static Equilibrium
OSU PHYS
Lecture 22
Major Concepts
Chapter 12: Static Equilibrium
Rigid body:
no stretching, no bending, no deformation!
Center of gravity (for g=constant)
Todays topics:
Today
Center of gravity = center of mass
Equilibrium condition 1
r
r
Fnet = Fi = 0
Problem so
Lecture 27
Traveling and Standing Waves
Periodic Waveforms
Concepts: Amplitude, wavelength, period, frequency, speed
Todays Topics
Today
Math form of waves:
x
y ( x, t ) = A cos[2 ( f t )]
Review of wave properties.
Interaction between two waves:
Density
Professor Aihua Xie
PHYS2014
Review 1 for the Final Exam of PHYS2014
By Professor Aihua Xie
(1) Explanation of clicker grades
(2) Calculation of the final grade
Assignments
(Max) Points
Abbreviation
Prelecture quizzes
80
PQ
In-class questions
80
IQ
Homewo
Lecture 25
Chapter 14: Wave Motion
What is a wave?
Key concept:
Todays Topics
Today
A wave is a traveling disturbance that transports
energy but not matter.
Waves
Waves
Wave Properties
Wave
Describe waves with mathematics
Characteristic Waves
April 15, 2