AP Physics C- Mechanics

i_love_ap_physics_tshirt-d23512702227450672585ejw_210.jpg
Instructor- Mr.Welch
Classroom CC21
Office- 963-4747
jwelch@hyde.edu

Google classroom:
https://classroom.google.com/c/NDMwNzI4MDVa

Course Description

AP Physics C-Mechanics provides instruction in the following 6 content areas: Kinematics, Newton’s Laws of motion, Work, Energy and Power, Systems of Particles and Momentum, Circular motion and Rotation, Oscillations and Gravitation. The course will be focused on the application of introductory differential and integral calculus to solving problems in the content areas listed. Introductory differential and integral calculus is used throughout the course. Students will have taken calculus or will be taking it concurrently. The course utilizes guided inquiry and student-centered learning to foster the development of critical thinking skills. The course includes a lab component equivalent to 20% of the students class time. A detailed lab journal will be kept by all students.


Homework

Spring Term

March 22 Chapter 10 Problems: 4, 10, 24, 34, 38, 47, 49, 50, 58, 61
March 24 Chapter 11 DEL
March 25 Chapter 11 2, 6, 8, 17
March28 Chapter 11 21, 26, 28, 34, 36, 38, 41, 47, 52 and DEL 12
March 29 DEL 12
March 31 Problems 2, 5, 7, 24, 26, 28
April 1 complete and organized solutions to sample problems in the packet.
April 4th Chapter 13 Problems 8, 9, 18, 23, and an explanation of example problem 13-4 along with DEL
April 5th Problems 29, 30, 32, 89















Discussion:


Subject Author Replies Views Last Message
More Messages
Vectors and Vector Operations jwelch jwelch 25 201 Oct 13, 2014 by guest (169.244.58.2) guest (169.244.58.2)
Torque and Angular Momentum jwelch jwelch 0 112 Apr 2, 2013 by jwelch jwelch
Rotation, rolling, etc. jwelch jwelch 0 59 Apr 2, 2013 by jwelch jwelch
COM + Conservation of Momentum jwelch jwelch 0 70 Feb 7, 2013 by jwelch jwelch



Important Documents
Syllabus w/ Unit Plans-

Standard Syllabus-

Class Notes 2014

What is Physics?/Vectors and Measurement

--
http://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/vectors/v/vector-introduction-linear-algebra
http://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/dot_cross_products/v/linear-algebra-cross-product-introduction
http://www.khanacademy.org/math/pre-algebra/rates-and-ratios/metric-system-tutorial/v/unit-conversion#!
Defining Physics, Mechanics, and Units-APF13.jpg Defining Physics, Mechanics, and Units-APF13.jpg
Unit vectors and vector notation.jpg
approximating the radius of the earth The dot product AP 13.jpg Introduction to the cross product AP13.jpg
Finding the determinant of a 3x3 matrix The Cross Product 1 13.jpg Developing the formula for a cross product 2 13.jpg

Introduction to Calculus

introducing the derivative AP13.jpg
https://www.khanacademy.org/math/integral-calculus/indefinite-definite-integrals/fundamental-theorem-of-calculus/v/fundamental-theorem-of-calculus
https://www.khanacademy.org/math/differential-calculus/taking-derivatives/derivative_intro/v/calculus-derivatives-1-new-hd-version

Kinematics and constant acceleration

Defining position in vector notation AP13.jpg Independence of a velocities vector components AP13.jpg
Finding the first kinematic equation (with Calculus) Finding the second kinematic equation (with caculus ) http://www.educreations.com/lesson/view/deriving-the-kinematic-equations/1684236/?ref=app Deriving the kinematic equations from definitions of velocity and acceleration.
https://www.youtube.com/watch?v=gssrmSa7fLU

Projectile Motion

27Projectile Motion- Part 1 http://www.youtube.com/watch?v=57vdgKzBwJw Part 2http://www.youtube.com/watch?v=FRozP2_yQgc
Part 3 http://www.youtube.com/watch?v=6WBUaJX79EI Part 4 http://www.youtube.com/watch?v=sjevM5gOt0A

Circular motion

Centripetal Acceleration AP13.jpg http://dallaswinwin.com/Circular%20Motion/circular-motion-calculus.htm
http://www.physicsclassroom.com/mmedia/circmot/ucm.cfm

Relative velocities


Relative velocities in 1D AP13.jpg Relative Velocities in 3D AP13.jpg http://en.wikipedia.org/wiki/Relative_velocity
http://www.physicslearningsite.com/relative.html
http://www.aplusphysics.com/courses/honors/kinematics/honors_relative.html

Newton's laws, particular forces, drag, and friction.


Different RFs.jpg Kinematics in different RFs.jpg Different RFs in 3d.jpg

Gravity, Friction, and the normal.jpg a review of gravity, friction and the normal force. We also covered two sample problems- The atwood machine and a man hanging from the rafters using friction.
Quick thoughts on tension, friction and the normal plus an example problem. Thoughts on Tension.jpg A block being pulled by a rope at an angle to the horizontal.jpg

Starbucks girl learns about V terminal.jpg When F drag = kv.jpg When F drag = kv part 2.jpg

Friction and Uniform Circular Motion-- Friction and Uniform Circular Motion- Loop the Loop.jpg Friction and Uniform Circular Motion-Gravitron.jpg Friction and Uniform Circular Motion-Banked Turn, No Friction.jpg
More on Friction and Uniform Circular Motion Vmin for a car on banked track with friction.jpg Vmax is similar but friction points down plane in that example. Modify the final expression in this slide accordingly.

Energy, Potential Energy Curves, and Conservation of Energy

Defining E and W Equations for E and W 3 applications of W=KE
Work done gravitational force KE, PE, and Work done by grav
Work done by a spring force Spring force with an applied force a sling shot problem
Work-KE for a variable force Work done by a general variable force Work Done by a Variable Force in 3D
Example: Finding the area of a curve F(x) vs x graphs and work Power
Showing Gravitations Potential Is mgh
Integral from AP example pt. 1 Integral pt 2 Conservation of mechanical energy Example problem 22
Derivative of U Classifying Equilibrium Graphing Force from U vs X plot
Problem 40 Part 1

Collisions, Variable Mass systems, Impulse-momentum theorem

Vocab for collisions.jpg Impulse-Momentum Theorem.jpg A car crash- Impulse Momentum.jpgMany impulses.jpg
Conservation of momentum-stationary targets.jpg Conservation of momentum-moving targets.jpg two types of 2D conservation problems to expect.jpg Basics of the 2D collision.jpg Introduction to varying mass systems pt 1.jpg Introduction to varying mass systems pt 2.jpg
-my convertible rocket.jpg Finding thrust from conservation of momentum.jpg finding v from dm.jpg
https://www.khanacademy.org/science/physics/linear-momentum/momentum-tutorial/v/2-dimensional-momentum-problem
http://exploration.grc.nasa.gov/education/rocket/rktpow.html
http://hyperphysics.phy-astr.gsu.edu/hbase/rocket2.html

Moment of Inertia and Rotational Mechanics

Rotational variables.jpg Kinematic equations for rotation.jpgThe concept of I.jpg Finding I from KE.jpg Parallel axis theorem.jpg
Finding I for a rod.jpg Forces and Energy as related to rolling.jpg Rolling and Energy- sample problem.jpg
From KE to I Finding I introducing torque Linear vs. Rotational Newton's 2nd and Work sample problem with torque kinetic energy and rolling rolling down a ramp and the yo yo
Torque as a cross product/angular momentum defined Angular momentum of a system of 2 particles
https://www.khanacademy.org/science/physics/torque-angular-momentum
Torque as a cross product/angular momentum defined Angular momentum of a system of 2 particles

Equilibrium

Equilibrium and an practice problem. Initial assumptions. problem solution pt 1 Part 2.



Gravitation

recalling radial fields a system of particles vs an object (gravitation) complications at earth's surface little g

Simple Harmonic Motion and Oscilators

Important terms related to SHM Kinematics and SHM Getting to Hooke's LawIdeal and Physical Pendulum
mechanical energy in an oscillator An angular simple harmonic oscillator (torsion pendulum)



Class Notes 2013

Fall

September

9-4 Introduction-Defining Physics, Mechanics, and Units-APF13.jpg Defining Physics, Mechanics, and Units-APF13.jpg
9-5 Intro to vectors- Unit vectors and vector notation.jpg
9-9 approximating the radius of the earth
9-10 The dot product AP 13.jpg Introduction to the cross product AP13.jpg
9-11 The Cross Product 1 13.jpg Developing the formula for a cross product 2 13.jpg
9-13 no notes- Group problem solving
9-16 Vector treasure hunt- no notes
9-18introducing the derivative AP13.jpg Defining position in vector notation AP13.jpg Independence of a velocities vector components AP13.jpg
9-20 Finding Kinematic Equations from the definition of constant acceleration AP 13.jpg Finding Kinematic Equations from the definition of constant acceleration 2 AP 13.jpg http://www.educreations.com/lesson/view/deriving-the-kinematic-equations/1684236/?ref=app Deriving the kinematic equations from definitions of velocity and acceleration.
9-21 using vernier detectors, no notes
9-23 ball drop and walking a x vs t graph lab, no notes
9-27Projectile Motion- Part 1 http://www.youtube.com/watch?v=57vdgKzBwJw Part 2http://www.youtube.com/watch?v=FRozP2_yQgc
Part 3 http://www.youtube.com/watch?v=6WBUaJX79EI Part 4 http://www.youtube.com/watch?v=sjevM5gOt0A

October

10-6Centripetal Acceleration AP13.jpg
10-9 Relative velocities in 1D AP13.jpg Relative Velocities in 3D AP13.jpg
10-23Newton's Laws AP13.jpg
10-25Thoughts on Tension.jpg
10-30 Drag Lab

Winter

December-

12-3-Basic Definitions of Work and Energy.jpg

12-6Work Done by a General Variable Force.jpg Work Done by a General Variable Force (version 2).jpg

Spring

4/1

Class Notes 2012:

Fall

September

9-4 a first glance at position vectors first lesson and HW
9-5 No notes saved from this session.
9-7 Unit vectors and vector notation.jpg The dot product.jpg
9-8 Displacement vector vs path.jpg we also reveiwed some home work, and began to discuss the cross product.
9-11 http://mathinsight.org/cross_product_formula Finding determinant of 3x3 matrix.jpg
9-17 No Notes- discussed the relevance of the derivative and integral to physics.
9-18 defining motion 1.jpg defining motion 2.jpg defining motion 3.jpg defining motion 4.jpg defining motion 5.jpg
9/19 No Notes- Worked with logger pro in class and compared a,v, and x graphs for a track rolling down an inclined plane. Note the derivative of a is v, the derivative of v is x. Related this to the graphs, curved, straight line w/ non zero slope, straight line with no slope.
9/25 http://www.educreations.com/lesson/view/deriving-the-kinematic-equations/1684236/?ref=app Deriving the kinematic equations from definitions of velocity and acceleration.

October

10-1 Projectile Motion- Part 1 http://www.youtube.com/watch?v=57vdgKzBwJw Part 2http://www.youtube.com/watch?v=FRozP2_yQgc
Part 3 http://www.youtube.com/watch?v=6WBUaJX79EI Part 4 http://www.youtube.com/watch?v=sjevM5gOt0A
10-2 See last years notes on centripetal acceleration.
10-3 lab brainstorm. No Notes.
10-8 Different RFs.jpg Kinematics in different RFs.jpg Different RFs in 3d.jpg
10/10-10/15 Projectile Lab: Develop theory, Design, Build, Test! No notes- Lab due tomorrow 10/16
10/23 note taking day, take home quiz on Newton's laws.
10/24 Gravity, Friction, and the normal.jpg a review of gravity, friction and the normal force. We also covered two sample problems- The atwood machine and a man hanging from the rafters using friction.
10/26 Quick thoughts on tension, friction and the normal plus an example problem. Thoughts on Tension.jpg A block being pulled by a rope at an angle to the horizontal.jpg

November

11/1- F drag in various situations. Follow up to the coffee filter lab. Starbucks girl learns about V terminal.jpg When F drag = kv.jpg When F drag = kv part 2.jpg
11/6 Friction and Uniform Circular Motion-- Friction and Uniform Circular Motion- Loop the Loop.jpg Friction and Uniform Circular Motion-Gravitron.jpg Friction and Uniform Circular Motion-Banked Turn, No Friction.jpg
11/7 More on Friction and Uniform Circular Motion Vmin for a car on banked track with friction.jpg Vmax is similar but friction points down plane in that example. Modify the final expression in this slide accordingly.

11/8 Review Day 1--
defining motion 1.jpg defining motion 2.jpg defining motion 3.jpg defining motion 4.jpg defining motion 5.jpg
Projectile Motion- Part 1 http://www.youtube.com/watch?v=57vdgKzBwJw Part 2http://www.youtube.com/watch?v=FRozP2_yQgc
Part 3 http://www.youtube.com/watch?v=6WBUaJX79EI Part 4 http://www.youtube.com/watch?v=sjevM5gOt0A

Winter

November

11/28- Introducing energy and work Basic Definitions of Work and Energy.jpg
11/29- The Work-Kinetic Energy Theorem. Considering the W=KE Theorem.jpg
12/1- Work done by a variable force Work Done by a General Variable Force (version 2).jpg
12/4 Power Power defined as dot product of force and velocity.jpg
12/5 (worked in class on editing prelabs) No Notes

January

1-7 You derived gravitational potential energy and the spring potential in groups. Be sure your notes are complete.
1-9 No notes due to technical difficulties. PE curves and relationhip to F was discussed.
1/28 please refer to 1/15 from 2011

February

2-1 Lab data from 2D collision lab.
2-6 Impulse-Momentum Vocab for collisions.jpg Impulse-Momentum Theorem.jpg A car crash- Impulse Momentum.jpgMany impulses.jpg
2-8 Collisions and Varying Mass Conservation of momentum-stationary targets.jpg Conservation of momentum-moving targets.jpg two types of 2D conservation problems to expect.jpg Basics of the 2D collision.jpg Introduction to varying mass systems pt 1.jpg Introduction to varying mass systems pt 2.jpg
2-11 The rocket equations--my convertible rocket.jpg Finding thrust from conservation of momentum.jpg finding v from dm.jpg
2-12 no notes, completed ex problem 9-8 from the text in teams

Spring

March

3-21 exam corrections-no notes
3-22 Refresher on rotational kinematics Rotational variables.jpg Kinematic equations for rotation.jpgThe concept of I.jpg
3-25 Moment of inertia and parallel axis theorem Finding I from KE.jpg Parallel axis theorem.jpg
3-26 Integrating to find the moment of inertai for a rod Finding I for a rod.jpg
3-29 Rolling-Energy and forces Forces and Energy as related to rolling.jpg Rolling and Energy- sample problem.jpg

April

4-1 Torque and Angular Momentum Ways to define torque.jpg Angular momentum for two particles.jpg
4-2 Conservation of angular momentum Conservation of angular momentum.jpg
4-8 and 4-9 sample problems in class. No notes.
4-15 Newton's law of universal gravitation newton
4/21 Gravity- Many particles.jpg Gravity- Shell theorem.jpg Gravity-Potential Energy.jpg

Class Notes 2011:

Fall

September

9-8Vector vs Scalar basics Adding vectors in unit vector notation
9-9 A helpful page for dot and cross product
9-12approximating the radius of the earth from watching a sunset Introduction to the dot product Challenge problem- 3 vector dot product and 3D vector mag
9-15magnitude of a three dimensional vector a cross product problem
9-16 problem 64 Chapter 3 Challenge! Solve this problem for a disk of unknown radius rolling with an arbitrary angular velocity.
9-22Using basic calculus to find the kinematic equations pt 1 Using calculus to find the kinematic equations pt 2
9-27Kinematics in unit vector notation pt 1 Kinematics in unit vector notation pt 2 Kinematics in unit vector notation pt 3
Kinematics in unit vector notation pt 4 Kinematics in unit vector notation pt 5
9-30Finding the equation of the path and range pt 1 Finding the equation of the path and range pt 2 Finding the equation of the path and range pt 3

October

10-4Deriving centripetal acceleration pt 1 Deriving centripetal acceleration pt 2
10-7Tension and friction (block sliding up a plane)
10-10Principle of superposition of vectors Newton's 1st and reference frames
10-11Projectile lab data (Data needed for projectile lab)
10-18basic acceleration from x(t)
10-20friction and critical angle
10-25 Drag Lab Summary of Purpose:Drag Lab- Summary of Purpose
10-27 Drag DerivationsTerminal Velocity from f=kv Drag coefficient (justification) Terminal velocity from f=kv^2 pt 1
Terminal velocity from f=kv^2 pt 2
10-31 Friction review-Block sliding down plane

November

11-1 flat track w/ friction-cirular motion Gravitron- rotating carnival ride Basic angular vs. linear velocity
11-2Bike on a flat track Plane in a banked turn Car on flat track with negative lift Car driving on ceiling??
11-4banked track no friction (critical theta)banked track with friction vmax vmin

Winter

December

12-1Defining E and W Equations for E and W 3 applications of W=KE
12-2Work done gravitational force KE, PE, and Work done by grav
12-5Work done by a spring force Spring force with an applied force a sling shot problem
12-8Work-KE for a variable force Work done by a general variable force Work Done by a Variable Force in 3D
12-9 Example: Finding the area of a curve F(x) vs x graphs and work Power

January

1-10Showing Gravitations Potential Is mgh
1-12 Integral from AP example pt. 1 Integral pt 2 Conservation of mechanical energy Example problem 22
1-13 Derivative of U Classifying Equilibrium Graphing Force from U vs X plot
1-14 Problem 40 Part 1
1-15 COM part 1 COM part 2 COM part 3

February

2-2 A disk with a disk cut out pt 1 part 2 COM of an ammonia molecule
2-3A disk with a disk removed: Solution
2-7Finding the Impulse-Momentum Theorem Finding Impulse-Momentum Theorem pt II
2-14 Conservation P- simple cases Definitions related to collisions Rocket and Cargo Module Ex. Problem Solving the cargo ship problem
2-16Perfectly elastic collisions and initial conditions Conservation of momentum in 2D
2-17 Considering varying mass Considering conservation of momentum with varying mass A closer look at velocity
2-18 Deriving the first rocket equation defining thrust deriving the second rocket equation review groups and chapters

Spring

March

3-22 Introduction to rotational variables (no notes)
3-23 From KE to I Finding I
3-26 introducing torque Linear vs. Rotational Newton's 2nd and Work sample problem with torque
3-27 kinetic energy and rolling
3-29 rolling down a ramp and the yo yo
3-30 Torque as a cross product/angular momentum defined Angular momentum of a system of 2 particles

April

4-5 Equilibrium and an practice problem. Initial assumptions.
4-9 problem solution pt 1 Part 2.
4-19 recalling radial fields a system of particles vs an object (gravitation) complications at earth's surface little g

May

5-3 Important terms related to SHM Kinematics and SHM Getting to Hooke's LawIdeal and Physical Pendulum
5-4 mechanical energy in an oscillator An angular simple harmonic oscillator (torsion pendulum)

Powerpoint-

work and Energy.ppt
vectors.ppt
systems of ptcles.ppt
rotation.ppt
oscillations.ppt
Gravity quick.ppt
force and motion.ppt
Equilibrium.ppt
2D_motion.ppt1-D_motion.ppt

Helpful Links:

What Mr. Welch is reading related to the course
http://www.diigo.com/list/joshuawelch/AP-Physics-C
PE curves

Problems

Funnyproblems with "Dr. J.": http://dev.physicslab.org/Compilations/Amusing.aspx
Hewitt'sNextTime questions: http://dev.physicslab.org/Compilations/NextTime.aspx
UTexas questions: https://quest.cns.utexas.edu/

Demos

Fabulous videos of demonstrations done at Harvard. Check out Pendulum Waves! http://sciencedemonstrations.fas.harvard.edu/icb/icb.do?keyword=k16940&pageid=icb.page80641
Novel demonstrations ("snacks") from San Francisco'sExploratorium: http://exploratorium.edu/snacks/index.html
Useful demos from Michigan Tech:
http://www.phy.mtu.edu/LECDEMO/websit/demolst.htm#1d
UC Berkeley’s Physics Demos: http://www.mip.berkeley.edu/physics/bookadx.html
Bill Beaty’s Science demos and projects – low cost yet highquality:
http://amasci.com/scied.html#demo
Brown University’s demos + :http://www.physics.brown.edu/physics/demopages/Demo/index.htm
Index list of downloadable demo movies from Wake ForestUniversity:
http://www.wfu.edu/physics/demolabs/demos/avimov/bychptr/bychptr.htm
University of Tennessee, Knoxville, Physics Demonstrations:
http://www.phys.utk.edu/demoroom/
A catalogue of demonstrations from the University ofMaryland:
http://www.physics.umd.edu/lecdem/services/demos/mainindex.htm

Simulations

PhET, anamazing collection of simulations produced at the University of Colorado,Boulder. I especially love the ones onorbital motion ("My Solar System"), the photoelectric effect andnuclear fission: http://phet.colorado.edu/simulations/index.php?cat=Featured_Sims
Amazingripple tank simulation (Moire pattern, Doppler effect, etc.): http://www.falstad.com/ripple/
Kepler's LawsSimulations - A good set of simulations showing Kepler's Laws for the planetsin our Solar System as well as custom made orbits.
http://astro.unl.edu/naap/pos/animations/kepler.html
Amazingsimulation allowing you to probe the universe and see planets, stars, galaxies,orbits, spaceship trajectories, etc.: www.shatters.net/**celestia**/
Agood collection of simulations called physics "applets":
http://www.walter-fendt.de/ph14e/index.html
Explanations and simulations concerning atomic and nuclearphysics:
http://library.thinkquest.org/17940/
One of many sites for downloading Gravitation Ltd. (fororbital motion, using Apple computers):
http://free-game-downloads.mosw.com/abandonware/pc/educational_games/games_e_m/gravitation_ltd_.html
Collision simulator: http://www.blackgold.ab.ca/ict/Division4/Science/Div.%204/collisions/index.htm

Of the utmost importance!

http://www.flickr.com/photos/phyz/sets/72157625985944742/

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