├── .gitignore ├── Latex conventions and formatting.tex ├── QuestionLibrary_Answers.pdf ├── QuestionLibrary_Questions.pdf ├── README.md └── tex ├── AngularMomentumRolling.tex ├── ApplyingNewtonsLaws.tex ├── BuildingModelsToDescribeOurWorld.pdf ├── BuildingModelsToDescribeOurWorld.tex ├── BuildingModelsToDescribeOurWorld_Answers.pdf ├── BuildingModelsToDescribeOurWorld_Answers.tex ├── Calculus.tex ├── ChargesFields.tex ├── Circuits.tex ├── CoverPage.tex ├── Current.tex ├── DescribingMotionIn1D.tex ├── DescribingMotionIn1D_longversion.tex ├── DescribingMotionInND.tex ├── FluidMechanics.tex ├── Gauss.tex ├── Gravity.tex ├── Induction.tex ├── Introduction.tex ├── Labs.tex ├── MagneticForce.tex ├── MagneticSource.tex ├── ModelAndExperiment.tex ├── MomentumAndCM.tex ├── NewtonsLaws.tex ├── Potential.tex ├── PotentialECons.tex ├── Preface.tex ├── Python.tex ├── RotationalDynamics.tex ├── SimpleHarmonicMotion.tex ├── SpecialRelativity.tex ├── Template.tex ├── TextbookPreamble.tex ├── Vectors.tex ├── Waves.tex ├── WorkEnergy.tex └── figures ├── AngularMomentumRolling ├── Figures.pptx ├── balldisk.png ├── circle.png ├── deltal.png ├── diskslope.png ├── diskslope_fbd.png ├── kepler.png ├── line.png ├── rotE.png ├── wheelcm.png ├── wheelground.png ├── wheelinstant.png ├── work.png ├── yoyo.png └── yoyo_fbd.png ├── ApplyingNewtonsLaws ├── Figures.pptx ├── ant.png ├── ant_fbd.png ├── blockI.png ├── blockI_fbd.png ├── blockI_fbd1.png ├── blockI_fbd2.png ├── blockspring.png ├── blockvaryingforce.png ├── blockvaryingforce_fbd.png ├── blockwall.png ├── blockwall_fbd.png ├── car.png ├── car_fbd.png ├── carbank.png ├── carbank_fbd.png ├── carinertial.png ├── carredo.ink ├── circleH.png ├── circleH_fbd.png ├── circleV.png ├── circleV_fbd.png ├── conicalpendulum.png ├── conicalpendulumfbd.png ├── drag_fbd.png ├── drag_vt.png ├── f1corner.png ├── linearmotion.png ├── rollercoaster.png ├── rollercoasterfbd.png ├── trajectoryA.png ├── trajectoryABCD.png ├── trajectoryB.png ├── trajectoryC.png └── trajectoryD.png ├── Calculus ├── ffprime.png ├── fint.png ├── fintarea.png ├── fxy.png ├── gxy.png ├── rod.png └── xsquared.png ├── ChargesFields ├── 1pos.png ├── 2pos1neg.png ├── Figures.pptx ├── Screenshot (136).png ├── chargetriangle.png ├── chargetriangle_sol.png ├── circle.png ├── conductioncharge.png ├── coulombforce.png ├── dipole.png ├── dipoleinfield.png ├── disk.png ├── examplesquare.png ├── fieldlines.png ├── fieldtriangle.png ├── fieldtriangle_sol.png ├── finiteline.png ├── h20.png ├── induction.png ├── inductioncharge.png ├── planecharge.png ├── ring.png ├── rodexample.png ├── semicircle.png ├── semicircle_redo.png ├── semicircle_sol.png ├── squaresolution.png ├── trianglediagram.png ├── trianglesolution.png └── triboseries.png ├── Circuits ├── Figures.pptx ├── allcircuits.pdf ├── allcircuits.tex ├── batteryresistor_colour.png ├── circuitspng │ ├── 3loopempty.png │ ├── 7loop.png │ ├── RCcircuit.png │ ├── RCcircuitCharge.png │ ├── ammeter.png │ ├── ammeterR.png │ ├── batteryresistor.png │ ├── batteryresistor2.png │ ├── batterysymbol.png │ ├── bigcircuit.png │ ├── bigcircuit_simp.png │ ├── bigcircuit_simp1.png │ ├── bigcircuit_simp2.png │ ├── bigcircuit_simp3.png │ ├── bigcircuit_vals.png │ ├── bigcircuit_vals_r8.png │ ├── bigcircuit_vals_simp.png │ ├── circuit1Josh.png │ ├── circuit2Josh.png │ ├── circuit3Josh.png │ ├── junction.png │ ├── loop.png │ ├── proof1.png │ ├── question2circuit.png │ ├── realbattery.png │ ├── realbatterycircuit.png │ ├── resistorsymbol.png │ ├── tworesistors.png │ ├── voltmeter.png │ ├── voltmeter2R.png │ └── voltmeterR.png ├── circuitstex │ ├── 3loopempty.tex │ ├── 7loop.tex │ ├── RCcircuit.tex │ ├── RCcircuitCharge.tex │ ├── ammeter.tex │ ├── ammeterR.tex │ ├── batteryresistor.tex │ ├── batteryresistor2.tex │ ├── batterysymbol.tex │ ├── bigcircuit.tex │ ├── bigcircuit_simp.tex │ ├── bigcircuit_simp1.tex │ ├── bigcircuit_simp2.tex │ ├── bigcircuit_simp3.tex │ ├── bigcircuit_vals.tex │ ├── bigcircuit_vals_r8.tex │ ├── bigcircuit_vals_simp.tex │ ├── circuit1Josh.tex │ ├── circuit2Josh.tex │ ├── circuit3Josh.tex │ ├── junction.tex │ ├── loop.tex │ ├── question2circuit.tex │ ├── realbattery.tex │ ├── realbatterycircuit.tex │ ├── resistorsymbol.tex │ ├── tworesistors.tex │ ├── voltmeter.tex │ ├── voltmeter2R.tex │ └── voltmeterR.tex ├── electriccell.png ├── rollercoaster.png └── watercircuit.png ├── CoverPage ├── CoverPage.pptx ├── coverpage.png ├── coverpage_old.png └── coverpage_whitebackground.png ├── Current ├── 3resistors.png ├── Figures.pptx ├── battery.ink ├── collisions.png ├── microcurrent.png ├── parallel.png ├── resistivity.png ├── resistor.png ├── series.png ├── simplecircuit.png ├── taper.png ├── toaster.png ├── toastert_ink.ink ├── waterparallel.png └── waterseries.png ├── DescribingMotionIn1D ├── 1d2objects.png ├── 1dDeltaV.png ├── 1dDeltaXT.png ├── 1daxis.png ├── 1daxis_vertical.png ├── 1dturn.png ├── 1dvint.png ├── 1dvintN.png ├── 1dxvst.png ├── 1dxvvst_aconst.png ├── Figures.pptx ├── SpeedingSlowing.png ├── TrainABC.png ├── VelociraptorQuestion.png ├── accelerationproblem.png ├── manSittingbw.ink ├── personstandingbackwardbw.ink ├── personwalkingbw.ink ├── trainbw.ink ├── trainseat.ink ├── velocitypositionsolution.png ├── xfromacheckpoint.png └── xfromacheckpoint_raw.png ├── DescribingMotionInND ├── 2drel.png ├── CowboyQuestionGiven.png ├── CowboySolution.png ├── CowboyVectorAddition.png ├── Figures.pptx ├── HandPolarCoordinates.png ├── HurdleQuestion.png ├── MonkeyTreeExample.png ├── aperpv.png ├── circle.png ├── deltav.png ├── monkeybw.ink ├── parabola.png ├── personthrowing.ink ├── tree.ink ├── tree.png ├── twocircles.png ├── vcircle.png └── xydrvec.png ├── Figures.pptx ├── FluidMechanics ├── Figures.pptx ├── airfoil.png ├── barometer.png ├── barometer2.png ├── barometer_abs.png ├── bernoulli.png ├── buoyant.png ├── continuous.png ├── faucet.ink ├── fingerpress.png ├── glasses.png ├── ivneedle.png ├── ivneedleheight.png ├── lift.png ├── manometer.png ├── necking.png ├── notthetitanic.png ├── notthetitanic_fbd.png ├── parallel.png ├── piston.png ├── pressure.png ├── pressure_edge.png ├── pressure_gravity.png ├── pressure_gravity2.png ├── river.png ├── roof.png ├── sailboat.png ├── straw.png ├── turbulent.png ├── viscosity.png ├── water tower.ink └── watertower.png ├── Gauss ├── 2surfaces_1.png ├── 2surfaces_2.png ├── Figures.pptx ├── Screenshot (139).png ├── Screenshot (140).png ├── chargedensity.png ├── chargedsphere.png ├── choosecylinder.png ├── choosesphere.png ├── coaxial_triangle.png ├── coaxial_triangle_side.png ├── dontchoosecylinder.png ├── flux.png ├── fluxangle.png ├── fluxconductingplane.png ├── fluxdA.png ├── fluxlinecharge.png ├── fluxlinx.png ├── fluxplane.png ├── fluxsphere.png ├── irregularfield.png ├── linecharge.png ├── plane.png ├── sphere_fieldlines.png ├── spherecube.png ├── spherein.png ├── sphereout.png ├── sphereshell.png ├── spheresymmetry.png ├── squaregauss.png ├── squaretriangle.png ├── trianglegauss.png └── ~$Figures.pptx ├── Gravity ├── Figures.pptx ├── apparentweight.png ├── apparentweight2.png ├── barricadeanalogy.png ├── conical.png ├── eccellipses.png ├── elevator.ink ├── elevator.png ├── ellipse.png ├── ellipse2.png ├── fieldAB.png ├── gauss.png ├── gauss2.png ├── gvectors.png ├── ladybug.ink ├── ladybuganalogy.png ├── periapogee.png ├── potential.png ├── rodfield.png └── rodfieldsoln.png ├── Induction ├── Figures.pptx ├── areaup.png ├── avro.png ├── avro_ink.ink ├── backemf.pdf ├── backemf.png ├── backemf.tex ├── faraday.png ├── generator.png ├── inducedE.png ├── inducedE2.png ├── lenzs_example.png ├── loopout.png ├── magneticbrake.png ├── powerplant.png ├── rail.png ├── skyline_ink.ink └── transformer.png ├── Introduction ├── fillintheories.png ├── galaxies_in_Coma_cluster.jpeg └── theoriesanswers.png ├── MagneticForce ├── Figures.pptx ├── Tracing_2019-07-31-103441.png ├── barfield.png ├── bentwire.png ├── crt.png ├── cyclotron.png ├── dcmotor.png ├── deflection.png ├── galvanometer.png ├── hallV.png ├── helix.png ├── horseshoe_magnet.ink ├── horseshoemagnet.png ├── loopfield.png ├── looptorque.png ├── loudspeaker_ink.ink ├── magnetcut.png ├── massspec.png ├── microforce.png ├── momenthand.png ├── motor.ink ├── proof1.png ├── proof2.png ├── rectangleloop.png ├── rhr.png ├── semicircle.png ├── semicircle_sol.png ├── speaker.png └── vselector.png ├── MagneticSource ├── 2wire_rhr.png ├── Ampere_circulation.png ├── Figures.pptx ├── amperecable.png ├── amperesolenoid.png ├── amperesolenoid2.png ├── amperetoroid.png ├── amperewire.png ├── amperewireloop.png ├── biotsavart.png ├── bsring.png ├── bsring_1.png ├── bsring_2.png ├── bsring_3.png ├── bsring_4.png ├── bsring_all.png ├── bsring_all2.png ├── bswire.png ├── circulation.png ├── helmholtzcoil.png ├── helmholtzdiagram.png ├── loop.png ├── oppositecurrent.png ├── oppositewires.png ├── ringfield.png ├── solenoid1.png ├── solenoid2.png ├── squareloop.png ├── twowires.png └── wirefield.png ├── ModelAndExperiment ├── Figures.pptx ├── chelseashoes.png ├── closet.ink ├── ruler.png ├── schoolbus.ink ├── schoolbusestimate.png └── tvssqx.png ├── MomentumAndCM ├── 1delastic.png ├── 2particles.png ├── Figures.pptx ├── ballistic.png ├── cmbowl.png ├── cmbowlsoln.png ├── cmframe.png ├── cmparabola.png ├── cmraft.png ├── curvedwire.png ├── dumbell.ink ├── figureskater.ink ├── labframe.png ├── personthrowing.ink ├── protonnucleus.png ├── protonproton.png ├── raft.ink ├── rod.png ├── skatermale.ink ├── skaters.png ├── springcollision.png ├── sunearthmars.png ├── train.png ├── trainbw.ink └── vsum.png ├── NewtonsLaws ├── 2blocksHI.png ├── 2blocksHI_fbd_m1.png ├── 2blocksHI_fbd_m2.png ├── 2blocksI.png ├── 2blocksI_fbd.png ├── 2blocksI_fbd_m1.png ├── 2blockswedge.png ├── 2blockswedge_fbd.png ├── 2blockswedge_forces.png ├── FBD123.png ├── FBD23.png ├── FBDbox23.png ├── Figures.pptx ├── blockH.png ├── blockH_forces.png ├── blockI.png ├── blockI_forces.png ├── car.png ├── car_fbd.png ├── car_fbd2.png ├── elevator_fbd.png ├── friction.png ├── fsurfaces.png ├── gravity_fbd.png ├── katieforces.png ├── katiesnowboarding.png ├── normal.png ├── snowboard.ink ├── spring.png ├── tension.png ├── threeboxes 2.png ├── threeboxes.png ├── twoboxes.png ├── twoboxes_fbd.png └── weight.png ├── Potential ├── 1pos.png ├── 2pos1neg.png ├── Figures.pptx ├── Screenshot (126).png ├── capacitors.png ├── chargeblob.png ├── electrostaticenergy.png ├── eqn_grid.png ├── eqn_grid_point.png ├── eqn_grid_pointcrop.png ├── eqn_gridcrop.png ├── gravvselec.png ├── infinitewire.png ├── knife_ink.ink ├── nestedcylinders.png ├── nestedcylinderssolution.png ├── parallelplates.png ├── polarizeddipoles.png ├── potential.png ├── ring.png ├── twospheres.png └── ~$Figures.pptx ├── PotentialECons ├── Figures.pptx ├── blockI.png ├── blockspring.png ├── crateab.png ├── externalagentex.png ├── gravitydl.png ├── gravityvertical.png ├── massdropspring.png ├── massoscillating.png ├── pendulumvelocity.png ├── potential.png ├── potentialcheckpoint.png ├── potentialpath.png ├── rollercoaster.png ├── rollercoasterflat.ink ├── springE.png └── table.png ├── Preface ├── Emma.jpg ├── Olivia.png ├── Olivia_original.JPG ├── Ryan.png ├── Ryan_original.jpg ├── josh.png └── license.png ├── Python ├── functionplot.png ├── positiontime.png └── tvssqx.png ├── RotationalDynamics ├── Figures.pptx ├── ant.png ├── axis.png ├── blob.png ├── disk.png ├── diskI.png ├── dumbbell.png ├── dumbbell_2m.png ├── dumbbell_CM.png ├── dumbbell_end.png ├── fplane.png ├── internaltau.png ├── omegar.png ├── parallel.png ├── pointaxis.png ├── righthandruleaxial.png ├── ring.png ├── rocket.png ├── rocket_fbd.png ├── rocketbw.ink ├── rod.png ├── rotatingdisk.png ├── scale.png ├── scale_fbd.png ├── sign.png ├── sign_fbd.png ├── skater.png ├── skater_fbd.png ├── skater_fbdcm.png ├── speeesksterbw.ink ├── vcircle.png └── vline.png ├── SimpleHarmonicMotion ├── 2springs.png ├── Figures.pptx ├── circleshm.png ├── circularmotionprojection.png ├── oscillatingquestion.png ├── physicalp.png ├── playground1.png ├── playground2.png ├── playgroundfbd.png ├── simplep.png ├── spring.png ├── torsionalpendulum1.png ├── torsionalpendulum2.png ├── vertspring.png └── xvtshm.png ├── SpecialRelativity ├── Figures.pptx ├── alice_arms.png ├── alice_arms_png.png ├── alphatrip.png ├── archer.ink ├── arrow.png ├── barn.png ├── clock_moving.png ├── clock_rest.png ├── cones.png ├── current.png ├── current_force.png ├── current_ions.png ├── fourtwenty.png ├── fourtwenty_1.png ├── fourtwenty_2.png ├── fourtwenty_3.png ├── fourtwenty_4.png ├── laser.png ├── lorentz.png ├── lorentz_simul.png ├── man_standing_ink.ink ├── platform_moving.png ├── platform_rest.png ├── spaceliketimelike.png ├── spacetime.png ├── traincart.ink ├── translation.png ├── twowire_chargedensity.png ├── twowire_electric.png ├── twowire_magnetic.png └── woman_standing.ink ├── Vectors ├── 1daxistrain.png ├── 3dcoords.png ├── Figures.pptx ├── acomponents.png ├── aplusbvec.png ├── carwheelmirror.png ├── carwheelrotation.png ├── cylindricalcoordinates.png ├── dvec.png ├── polarp.png ├── righthandrule.ink ├── righthandrule.png ├── righthandruleaxial.png ├── scalarproduct.png ├── sphericalcoordinates.png ├── torque_vectorprod.png ├── vecadd.png ├── vector3d.png ├── vectororder.png ├── work_scalarprod.png ├── xydvec.png ├── xyp.png ├── xyslant.png └── xyzaxis.png ├── Waves ├── Figures.pptx ├── clarinet.png ├── clarinetmodel.png ├── ear.ink ├── hand3.ink ├── interference.png ├── pulse.png ├── reflectioncoeff.png ├── reflectioncoeffgiven.png ├── reflectionfixed.png ├── reflectionfree.png ├── rope.png ├── sinewave.png ├── sinewaveaxes.png ├── sinewaveposition.png ├── sinewavepositionshm.png ├── sinewavetime.png ├── sinewavetimeshm.png ├── slinky.png ├── soccer.png ├── soccerfan1.ink ├── soccerfan3.ink ├── soccerfan5.ink ├── sound.png ├── speaker.png ├── sphericalshell.png ├── sphericalwave.png ├── standing.png ├── 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