Practice Questions & Solutions Week 9
Textbook: Physics for Scientists & Engineers with Modern Physics 8th Ed.
Chapter 15 Oscillatory Motion
Problem 14/p458
A 1.00 kg glider attached to a spring with a force contant of 25.0 N/m oscillates on a frictionles
4/21/2015
Oscillatory Motion
To understand oscillatory motion of a block,
first recall a spring mass system.
When the block is displaced to a position, x
the force on the block is proportional to the
position and is given by Hookes Law.
Fs = - kx
is t
4/27/2015
Chapter 17
Sound Waves
Introduction to Sound Waves
Sound waves are longitudinal waves
They travel through any material medium
The speed of the wave depends on the
properties of the medium
The mathematical description of sinusoidal
sound waves is
4/27/2015
Chapter 16
Wave Motion
Types of Waves
There are two main types of waves
Mechanical waves
Some physical medium is being disturbed
The wave is the propagation of a disturbance through
a medium
Electromagnetic waves
No medium required
Examples are
PH102 TUTORIALS
WEEK 10
TEXT BOOK: PHYSICS FOR SCIENTISTS AND ENGINEERS WITH MODERN
PHYSICS 8TH EDITION
Question 1
The wave function for a traveling wave on a taut (you can look up the definition) string is (in SI units)
y = 0.350 sin ( 10t - 3x + /4 )
a)
PH102 TUTORIALS
WEEK 9
TEXT BOOK: PHYSICS FOR SCIENTISTS AND ENGINEERS WITH MODERN
PHYSICS 8TH EDITION
Question 1
In an engine, a piston oscillates with simple harmonic motion so that its position varies according to the
x = (5.00 cm )cos 2t + , where x i
PH102 TUTORIALS
WEEK 9
TEXT BOOK: PHYSICS FOR SCIENTISTS AND ENGINEERS WITH MODERN
PHYSICS 8TH EDITION
Question 1
In an engine, a piston oscillates with simple harmonic motion so that its position varies according to the
x = (5.00 cm )cos 2t + , where x i
PH102 TUTORIALS
WEEK 10
TEXT BOOK: PHYSICS FOR SCIENTISTS AND ENGINEERS WITH MODERN
PHYSICS 8TH EDITION
Question 1
The wave function for a traveling wave on a taut (you can look up the definition) string is (in SI units)
y = 0.350 sin ( 10t - 3x + /4 )
a)
Chapter 10
Rotation of a Rigid Object
about a Fixed Axis
Rigid Object
A rigid object is one that is nondeformable
The relative locations of all particles making up
the object remain constant
All real objects are deformable to some extent,
but the rigid ob
2/18/2013
CLASSICAL PHYSICS
Chapter 1 from text book
Physics
Fundamental Science
Concerned with the fundamental principles of the Universe
Foundation of other physical sciences
Has simplicity of fundamental concepts
Divided into five major areas
Classical
Chapter 3
Vectors
Coordinate Systems
Used to describe the position of a point in
space
Coordinate system consists of
A fixed reference point called the origin
Specific axes with scales and labels
Instructions on how to label a point relative to the
origin
1b
CLASSICAL PHYSICS
Lecture Notes 1b
Kinematics
Describes motion while ignoring the agents
that caused the motion
For now, will consider motion in one
dimension
Along a straight line
Will use the particle model
A particle is a point-like object, has mass
Chapter 7
Energy of a System
Introduction to Energy
The concept of energy is one of the most
important topics in science and engineering
Every physical process that occurs in the
Universe involves energy and energy
transfers or transformations
Energy is n
Chapter 4
Motion in Two Dimensions
Motion in Two Dimensions
Using + or signs is not always sufficient to fully
describe motion in more than one dimension
Vectors can be used to more fully describe motion
Will look at vector nature of quantities in more de
3/6/2013
Chapter 5
The Laws of Motion
Force
Forces are what cause any change in the
velocity of an object
Newtons definition
A force is that which causes an acceleration
Classes of Forces
Contact forces involve physical contact
between two objects
Field f
Chapter 8
Conservation of Energy
Energy Review
Kinetic Energy
Potential Energy
Associated with movement of members of a
system
Determined by the configuration of the system
Gravitational and Elastic
Internal Energy
Related to the temperature of the system
PH102 TUTORIALS
WEEK 6
TEXT BOOK: PHYSICS FOR SCIENTISTS AND ENGINEERS WITH MODERN
PHYSICS
Chapter 10:
Problem 18
A car accelerates uniformly from rest and reaches a speed of 22.0 m/s in 9.00 s. Assuming the diameter of a
tire is 58.0 cm,
a) find the numb
Chapter 6
Circular Motion
and
Other Applications of Newtons
Laws
Uniform Circular Motion,
Acceleration
A particle moves with a constant speed in a
circular path of radius r with an acceleration:
ac =
v2
r
r
The centripetal acceleration, a c is directed to
PH102 PRACTICE PROBLEMS
WEEK 6
TEXT BOOK: PHYSICS FOR SCIENTISTS AND ENGINEERS WITH MODERN
PHYSICS 8TH EDITION
Chapter 10:
Problem 7
An electric motor rotating a workshop grinding wheel at 1.00 x 102 rev/min is switched off. Assume the when
has a constant
Solved Problem 5-101
A block of mass m = 2.00 kg is released from rest at h = 0.500 m
above the surface of a table, at the top of a = 30.0 incline as
shown.
The frictionless incline is fixed on a table of height H = 2.00 m.
(a) Determine the acceleration
Chapter 9
Linear Momentum and Collisions
Linear Momentum
The linear momentum of a particle, or an
object that can be modeled as a particle, of
mass m moving with a velocity v is defined to
be the product of the mass and velocity:
p = mv
The terms momentum
PH102 TUTORIALS
WEEK 6
TEXT BOOK: PHYSICS FOR SCIENTISTS AND ENGINEERS WITH MODERN
PHYSICS
Question 1
A car accelerates uniformly from rest and reaches a speed of 22.0 m/s in 9.00 s. Assuming the diameter of a
tire is 58.0 cm,
a) find the number of revolu
So lved Problems
1. a) Calculate the absolute pressure at an ocean depth of 1 000 m. Assume the
density of seawater is 1 024 kg/m3 and that the air above exerts a pressure
of 101.3 kPa.
b) At this depth, what force must the frame around a circular submari
Fluids
A fluid is a collection of molecules that are randomly arranged
and held together by weak cohesive forces and by forces
exerted by the walls of a container.
Fluids can only exert compressive forces in objects immersed
within them. They cannot exe
Chapter 11
Angular Momentum
The Vector Product and Torque
The torque vector lies in a
direction perpendicular to
the plane formed by the
position vector and the
forcer vector
r
r
= Fr
The torque is the vector (or
cross) product of the
position vector and
PH102 CLASSICAL PHYSICS SEMESTER 1, 2015
TUTORIAL 4 SOLUTION
QUESTION 1
Fg m g 4 kg 9.8 m s2 39.2 N
Ta
1.5 m
2m
48.6
sin
39.2 N
Tb
forces
r 2 m cos48.6 1.32 m
ac
Fx m ax
m v2
r
Ta cos48.6 Tb cos48.6
v
m otion
4 kg 6 m s2
1.32 m
109 N
Ta Tb
165 N
c
PH102 CLASSICAL PHYSICS SEMESTER 1, 2015
TUTORIAL3 QUESTIONS
QUESTION 1
The gravitational force on a baseball is
Fg j .
A pitcher throws the baseball with velocity
v i
by uniformly accelerating it straight forward horizontally for a time interval t = t 0
Chapter 12
Static Equilibrium and Elasticity
Static Equilibrium
Equilibrium implies the object is at rest
(static) or its center of mass moves with a
constant velocity (dynamic)
Static equilibrium is a common situation in
engineering
Principles involved a
PH102 CLASSICAL PHYSICS SEMESTER 1, 2015
TUTORIAL 4 QUESTIONS
QUESTION 1
A 4.00-kg object is attached to a vertical rod by two strings, as in
Figure P6.11. The object rotates in a horizontal circle at constant speed
6.00 m/s. Find the tension in (a) the u
PH102 CLASSICAL PHYSICS SEMESTER 1, 2015
TUTORIAL 2 QUESTIONS
QUESTION 1
A radar station locates a sinking ship at range 17.3 km and bearing 136 clockwise from north.
From the same station, a rescue plane is at horizontal range 19.6 km, 153clockwise from