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Transcript
Phys 111 Fall 2012
Course structure
Five sections
lecture time 150 minutes per week
Textbook Physics by James S. Walker fourth edition (Pearson)
Clickers recommended
Coursework –Complete assignments from mastering physics (5% participation) + One hour online quiz
(15%)Weekly group work tutorial (10% participation mark), use of clickers in class (5% bonus mark)
Midterm 1.5 hour multiple choice (15% or 10% depending on overall mark)
Final 2.5 hours (between 50% or 75% depending on participation and midterm grade)
Help centre P308 open Monday-Thursday aftrnoons
Office hours (depending on professor) Typically 3hours per week
Course Website Accessed though Learn
Online resources Lecture powerpoints, Lecture videos
P111 Syllabus
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Vectors
Velocity – displacement (a constant)
Kinematics 1D
Projectiles
Relative velocity (1D and 2D)
Newton’s laws (normal force components in 2D)
Tension –pulleys, contact force,
Friction kinetic, static
Circular motion centripetal force
Work energy (conservation of energy in conservative system) friction
Impulse, conservation of momentum, elastic inelastic collisions in 1D 2D
Combined collision and conservation of energy
Center of mass 1D and 2D
Rotational motion angular kinematics, moment of inertia, angular kinetic energy, angular
momentum, rolling motion
Pulley with friction angular collisions conservation of angular momentum
Statics-beam, ladder, arm, back
Course Outline
Kinematics (Chapters 2, 3, 4)
Lecture 1:
Introduction to course
How to use the Angel site, quizzes, assignments, reading assignments, midterm, final,
etc. how to use the help centre
Intro to Units, Scalars vs Vectors
Lecture 2:
Co-ordinate systems, components of vectors, Magnitude direction, adding/subtracting
vectors
Parallelogram rule vs tip to tail
Lecture 3:
1D vectors +/- X
Position, distance, displacement
Average speed, velocity, acceleration
Instantaneous speed, velocity, acceleration
Constant acceleration, free fall, equations of motion (not derived)
Lecture 4:
Galileo and constant acceleration due to gravity
1D Kinematics
Child throwing ball up (one part problem)
Object falling past window (two part problem)
Lecture 5:
2D kinematics
Using t common to x and y equations
Baseball player example and (finding height finding theta at arbitrary X)
Lecture 6:
Projectile motion (cont.)
James bond example ( initial vertical velocity is zero)
Monkey and hunter (demonstration of vertical component compared to motion in only
vertical)
relative motion in 1 and 2D The Relative velocity VECTOR equation (use of subscripts)
Boat example (simple 1D) Difference between going and heading
Lecture 7:
Relative motion Simple 2D boat example
Tough example airline using parallel rule (not components) (using sine a cosine rules and
nontrivial geometry) How to write compass directions
Lecture 8:
finish relative velocity difficult example
Force an introduction
Lecture 9:
Introduction to Force
Why is it so difficult to understand? Some historical context
Newton’s Laws of Motion (Chapter 5, 6)
How do we experience force what are Mass, inertia,
Lecture 10:
1st law of motion
2nd law (F=ma)
Forces and free body diagrams
3rd law of motion, contact forces
Normal forces
Difference between weight and mass
Equilibrium
Lecture 11:
Applications of Newton’s Laws 2D examples no friction (luggage example)
Forces on a slope (sled example)
Combining forces and Kinematic equations
Lecture 12:
Apparent weight during acceleration
Contact forces, Tension
Newtons 2nd law example in 1D using tension and contact force
Simple 2D example of forces
Frictionless pulleys (acceleration and tension same on both sides)
Lecture 13:
Friction static and kinetic
Sled example (2D example of Newtons second law with kinetic friction)
Full example with slope, pulley and kinetic friction
Example of Static friction and equilibrium in 2D derive the equation for the coefficient of
static friction
Flatbed truck example (How can static friction accelerate an object?)
Lecture 14:
Uniform motion in a circle (no rotational velocity omega at this point, )
Centripetal acceleration
Easy example horizontal weight on the end of a string (converting angular speed in
terms of revolutions per sec, not radians/sec to linear speed)
Fighter pilot example (vertical circle with gravity contributing Normal force pointing up
at bottom of circle)
Roller coaster example (Normal force pointing down) at top of circle ,
Lecture 15:
Ferris wheel example (Normal force points up at top and bottom of the circle
Car example (static friction provides the centripetal force)
Work introduction F.D Units scalar..
Work and Energy (Chapter 7, 8)
Lecture 16:
Midterm instructions
Example of moving mass up a slope (derivation of gravitational potential energy)
Conservative force definition and examples
Derivation of Kinetic energy and how it relates to the work done by the net force
Definition of external work
Example moving mass up an incline (to derive work energy theorem without friction)
Situation with no external force
Ball on chute example (no external force means potential and kinetic energy are
exchanged)
Projectile example using energy (potential and kinetic energy exchanges)
Lecture 17:
Springs, Hooke’s law,
Work done by a variable force
Example with no external force (exchange of kE and spring PE)
Lecture 18:
Conservative systems with springs
Example of mass on a slope (exchange of gravitational and spring KE)
Using conservation of energy with motion in a circle problems
The rollercoaster design example
Introduction to non conservative force and friction
Full example of pushing mass un slope with friction
Example of child sliding down slope (exchange of PE KE Thermal E)
Linear momentum and collisions (Chapter 9)
Lecture 19:
Power
Impulse of force
Linear momentum
Newton’s 2nd law Momentum and impulse derivation of conservation of momentum
Baseball bat and ball example
Conservation of 1D momentum
car collision example (1D completely inelastic)
Ke lost in completely inelastic collisions
Lecture 20:
Conservation o f linear momentum in 2D
2D car collision example
2D inelastic glancing collisions example
Lecture 21:
2D inelastic glancing collisions example continued
Head on elastic collision example
Lecture 22
Combining energy and momentum to solve problems
Compound pendulum example
Centre of mass intro in 1D derive using moments
Motion of centre of mass
Lecture 23:
2D centre of mass
Examples using symmetry Square circle, rectangle
Pile of boxes example (reducing a complex shape using known shapes
Lecture 24:
Use of negative mass (for objects with holes)
Stationary centre of mass for moving objects
Examples person walking on canoe and
Rotational Mechanics (Chapter 10)
Lecture 25:
Centre of mass example person lying on ice
Rotational motion
Where do radians come from
Comparison between linear and rotational worlds for velocity acceleration force work
and torque.
Lecture 26:
Linking linear and rotational properties.
Rotational kinematics and kinematic equations, example rotating wheel
Rotational Kinetic energy – analogy with linear definition
Moment of inertia for a point mass
Moment of inertia for a group of point masses
Calculating moment of inertia for regular objects eg bicycle wheel and solid disk
Lecture 27:
Moment of inertial of regular objects, objects in the solar system
Torque
Example of frictional torque, grinding wheel with friction
Example of compound shape –compound wheel
Lecture 28
Rolling motion
Kinetic energy of rolling motion and how it effects the speed of different shaped objects
Lecture 29
Pulley with finite mass
Example incorporating slope
Power for rotating systems
Rotational impulse relating to angular momentum
Angular momentum (Chapter 11)
Lecture 30
Angular momentum
Example a rotational collision between two disks
Conservation of momentum -skater example
Lecture 31
Combination of linear and angular momentum
Example of child running onto a merry-go-round
Relative rotational velocity (using conservation of angular momentum)
Example child walking around turn table
Statics (Chapter 11)
Lecture 32
Conservation of momentum of system of particles rotating about centre of mass
Example two astronauts connected by a rope
Torque revisited, for fixed and non-fixed objects
Example the torque picture of rolling
Definition of an object which is static
Example of printing press on a beam
Example of beam suspended by wires
Lecture 33
Statics example with friction (ladder against a wall)
Statics example with tension and hinge force - lamp hanging from beam
Lecture 34
Biological example of statics –person holding weight in their hand
Example of difficult Torque calculation –person raises their arm above the horizontal
Example of person leaning to pick up weight
Lecture 35
Clicker problem class review