Prep101
1
Phys1026 April Exam Solutions
OSCILLATIONS
PRACTICE QUESTIONS
Question 1
Solution:
Part A:
= 2f f =
T=
3 rad s
=
= 1.6 Hz
2
2
1
T = 0.63s
f
Part B:
T = 2
(0.63s ) = 0.002
m
T2
k =
=
2
k
(2 ) m (2 )2 (5.0kg )
Part C:
v(t ) =
2
dx
= 12.8 sin 3.
Physics of Mo+on Kinema+cs
Lecture 3: Mo+on in a Straight Line
Chapter 2, Appendix A-2
In this lecture you ll learn
The fundamental quantities that
describe motion
Position (distance, displacement)
Velocity
Acceleration
The differ
Linear Momentum
Chapter 9
Sections 47
To-Do List
Define Linear Momentum
Linear Momentum for a system of particles
Introduce Conservation of Linear Momentum
Define Impulse
4
Linear Momentum
Linear momentum (henceforth momentum) is defined for a
particle as
Properties of Fluids
Chapter 15
Sections 13
Learning Objectives
!
!
!
!
Learn some basic concepts about fluids.
Learn about density and pressure.
Study Pascal s principle.
Study Archimedes principle.
2
Pre-lecture reading
Fluids
!
Basically, a fluid is a
Force & Motion II:
Understanding
Uniform Circular Motion
Chapter 5
Section 3
Agenda
Understand acceleration for uniform circular motion.
Understand the difference between centripetal force
and centrifugal force.
Apply Newton s Laws to circular motion pr
Properties of Fluids
Chapter 14
Sections 810
Agenda
We will learn how to deal with fluids in motion.
We will discuss the Equation of Continuity.
We will learn how to use Bernoulli s Principle.
2
Fluids in Motion
So far, we have discussed cases where fluid
Gravitation
Chapter 8
Sections 8.1, 8.2, 8.5
Agenda
We will learn about:
! Newton s Law of Gravitation
! Gravitation and the Principle of Superposition.
! Gravitation near Earth s surface.
! Gravitational Potential Energy
2
Gravity
We want to
understand
t
Rotational Motion I:
Angular vs. Linear Motion
Chapter 10
Sections 15
Translation vs. Rotation
Straight-line displacement is called translational motion.
Motion of a body around its axis is called rotational motion.
Define rotational equivalents to x, v,
Rotational Dynamics I:
Angular Momentum
Chapter 11
Sections 1-4
Agenda
We will:
n Introduce angular momentum
n Relate angular momentum to torque
n Derive N2 for angular motion (in general)
n Discuss angular momentum for a rigid body
3
Angular Momentum
Sup
Collisions
Chapter 9
Sections 811
Agenda
Chapter 9 so far:
Center of mass
Linear momentum
Conservation of linear momentum
Impulse linear momentum theorem
today:
Define elastic & inelastic collisions
Look at center of mass in collision
3
Collisions
C
Conservation of
Mechanical Energy
Chapter 7 Section 3
Agenda
Conservation of mechanical energy
Potential energy graphs
Work done by friction
2
Example: variable force
A 1500 kg car accelerates from rest. The figure Force [N]
10000
shows the net force on
Kinetic Energy & Work
Chapter 6: Work, Energy, Power
Sections 14
Work, Energy, and Power
Chapter 6: Sections 6.1-6.4
T = Tera = 1012
2
Mechanics Problems
Weve now applied Newtons Laws to all sorts of problems:
! linear motion, statics, uniform circular (r
Forces & Motion III
Chapter 5
Sections 1 & 2
Newtons First Law (N1)
The Law of Inertia:
If no net force acts on a body (Fnet = 0),
then the bodys velocity does not change;
that is, the body cannot accelerate.
2
Newtons Second Law (N2)
The relation between
Forces & Motion II
Chapter 4
Sections 1-5
The Law of Inertia (N1)
If no net force acts on a body (Fnet = 0),
then the bodys velocity does not change;
that is, the body cannot accelerate.
Hence, bodies moving at a constant velocity, which
includes bodies a
Kinetic Energy & Work II
Chapter 6: Work, Energy, Power
Sections 14
Additional Work to do
Work done by a constant force: gravity
Work done by a variable force: a spring
Work done by a variable force: general case
Power
2
Pre-reading
Work Done by a Cons
Potential Energy
Chapter 7
Sections 1-2
Agenda
What is potential energy?
What are conservative and nonconservative
forces?
Calculating potential energy for conservative forces.
2
Pre-reading
What is Potential Energy?
Potential Energy, U, is the energy a
Uniform Circular Mo/on
Lesson 7: Chapter 3, Sec/on 3.6
Examples of circular mo/on
Uniform circular mo/on
Feel like you are going in circles?
You are! Earths orbit is circular
mo/on
along with many other things
Lecture 4: Mo,on in a straight line
Chapter 2: Sec-ons 2.1-2.5
Appendix A-2
Kinema,c basics: mo,on in 1D
Displacement, velocity, and accelera,on
Func,ons, dieren,a,on and integra,on
In this lecture you ll le
Systems of Particles
Chapter 9
Sections 13
Agenda
Centre of Mass
Newton s 2nd law for a system of particles
External forces and internal energy
4
Pre-reading
Centre of Mass
CoM of a uniform object
Up to now all forces have acted on point-like objects.
The
Forces & Motion I
(Newtons Laws)
Chapter 4
Sections 15
Outline
Define force
Define mass
Understand Newtons 1st Law
Discuss Newtons 2nd Law
and begin to apply it for
simple situations (equilibrium)
Sir Isaac Newton (16421727)
Portrait by Kneller, 1702
2
Ne
Conservation of
Angular Momentum
Chapter 11
Section 4
Review: Angular Momentum
We defined the angular momentum
of a particle moving about an origin
in a manner similar to torque
l = r x p = m(r x v)
Units: kgm2/s = Js
The magnitude of l is calculated
in a
Gravitation
Chapter 8
Agenda
We will learn about:
Newton s Law of Gravitation
Gravitation and the Principle of Superposition.
Gravitation near Earth s surface.
Gravitational Potential Energy
2
Gravity
-we want to
understand
the force
that holds us
to
First Year Physics Laboratory Timetable - 2014-2015
Physics 1402 - Course Section 001/002
Laboratory Section 004
Tuesdays - 2:30 pm - 5:30 pm
University OWL site for all courses:
https:/owl.uwo.ca/
Physics 1402 Course OWL site:
Refer to this site for all
Physics 1401A and 1402B
Physics for Engineering Students
Course Information: 2012/2013
Note: This Course Information sheet is a living document. Check for updates to this information on the course
website.
1. Course Description
A calculus-based laboratory
Prep101
Equation Sheet
Basic Constants
Standard Gravity
Gravitational constant
Pi
r
g = 9.80 m/s2
G = 6.67 10-11 Nm2/kg2
= 3.1415927
rad = 180 = rev
Velocity and Acceleration
Rectilinear Motion
v=
Velocity
ds
dt
Angular velocity
a=
Acceleration
=
ar
d v
Physics 026 December Exam Constants/Equation Sheet
Variables are not explained they are consistent with the definitions used in class.
It is the users responsibility to know when and where to use these equations, and under
what circumstances they apply.
S
Prep101
Phys 1026 Equation Sheet for December Exam
Basic Constants
Standard Gravity
g = 9.80 m/s2
Gravitational constant G = 6.67 10-11 N m2/kg2
Pi
= 3.1415927
rad = 180 = rev
r
at
ar
Velocity and Acceleration
Rectilinear Motion
Velocity
ds
dt
dv
dt
v
Acc