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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 • • • • • • • • • • • • • • • • 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