Desmos Shared
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Here you will find Desmos Simulations of varying quality that I have created to model primarily physics scenarios.
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daniel_hosey@pittsford.monroe.edu
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TPT: Modeling a High Road Low Road Race Quantitatively Using DesmosIn this simulation, the time to finish a "High Road vs Low Road" Race is computed. Points are dragged on an image of the two tracks. Energy conservation and constant acceleration are used.
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Video, Photogate and video analysis of the race.
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IDDescriptionLinkCommentsYoutube
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1.001Simulation of two masses oscillating on one spring.Two masses connected by a single compressed spring and released. Also shows reduced mass equivalent.
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1.002Same simulation of two masses of oscilting on one spring.Identical to 1.001, but the playback speed is determined by the raw simulation time rather than the number of cycles. This way this change in period is more visual as masses are changed.
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1.2Simple Harmonic Motion - 1 Mass on a Spring
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1.202Simple Harmonic Motion - 1 Mass on a Spring*Changed Simulation to run for a specific amount of time rather than the previous version, which was for a specific number of cycles. Trying to better show visually the effects of changing m & k.
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2.1Hosey 2.100 Bocce Pendulum Theory vs Reality and Effect of Launch Angle
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2.1Hosey 2.2 Bocce Pendulum Simulation
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3.005Terminal VelocityTerminal Velocity
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4.001Rotating Fish SimulationBased on, definitely a work in progress. http://serc.carleton.edu/dmvideos/videos/rotating_fish.htmlBased On:
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5.001Standing Waves and BeatsStanding Waves and Beats.  e.g. make f1 50, and f2 52 for 2 beats.
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5.002Standing Waves and Beats (Examine Different A)Just a tweak that makes it easier to look at what happens when slightly different amplitudes.2/5/2021
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6.001Speed of Sound LabSpeed of Sound Lab Calculator
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7.001Rolling Down Incline with Blinking LEDBased on Dan Burns demonstration from here:
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8.001Simuation of AP Physics 1 Problem 3Angular momentum of Disk/Rod system after inelastic collision.
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8.002Simulation of AP 1 Prob 3, adapted for C 2020Angular momentum of a Disk/Rod system after inelastic collision
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8.003Simulation of AP 1 Prob 3, Adapted to Explore Collision ProcessAngular momentum of a Disk/Rod system after inelastic collision, Adapte for Physics C to find optimum strike location, and further adapted to model the collision process as a constant force process and to determine the time of impact
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9.003Circular Orbit2 Satellites in Orbit
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10.001Adjustable Rotation Problem (Caoursel)
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11.001Deviation of Surface Force from NormalHow much the Surface force deviate from the normal force on a spinning planet earth.
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12.0011 D Collision in Lab and CM Frames perfectly and partially elastic
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13.001Physical Pendulum Data FitHere is some Data from a physical pendulum Lab.  The data is linearized, plotted, and fit.
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14.003Force and Potential EnergyEnter E(x), show force, TME, K, Area of F(x)11/2/2022
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15.0012 Projectiles Simultaneously
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15.0022 Projectiles Elevated Launch Many Directions at Once
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15.003Elevated Projectile into Moving Target ChallengeModifcation of 15.001. I added a delay parameter for both projectiles to demonstrate the flight of a projectile into a moving target vehicle to match a projectile challenge I picked up from Brad Allen. Projectiles can also now have different values of g. Ie when comparing a moon launch with and earth launch.
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15.004Graph of Required Delay vs Launch AngleSee 15.003
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15.007Projectile Rings HelperThis is a helper for setting up rings for a projectile to pass through. It also simulates the flight against a picture of the setup. Desmos contains links to a video of an actual launch, and a video of the physical setup.
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16.001Linearization Simluation for C vs Diameter "Measurements"Just taking a look at how uncertainty in measurement and Diameter might affect the slope of a Circumference vs Diamter Graph.  There are 9 "Random" sets of data.
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17.001Critical Speeds on a Banked TurnMaximum and Mininum speeds on a Banked Turn.
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17.002Critical Speeds on a Banked TurnMinor Update
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17.003Critical Speeds on a Banked TurnAdded Speeds in mph, added inspection angle.
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18.001Car Overtaking Another
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19.001Does it matter how you linearize? SimulationSimulation to Linearize Data 2 ways. I think it does matter.
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20.001Energy Race - 2 Tracks
Based on AP Physics 1 Question 4. 2 Tracks with the same starting and ending point, but different paths Race.
Based on AP 1 2017 Q4: https://secure-media.collegeboard.org/ap/pdf/ap-physics-1-frq-2017.pdf
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20.002Energy Race - 2 Tracks vs Real World
Extension of 20.001. Here a real world marble race is simulated and compared with a real photogate timed race.
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21.001Crude Simulation of Electromagnetic Forming of CoinElectromagnetic Forming of a Quarter
Loosely based on www.capturedlightning.com
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22.0014 Methods to Curve/Scale Scores4 Methods for Curving/Scaling an exam score are compared. You can interactively change each fit by "picking' at the graph. You can type in or paste your own scores and the distributions are immediately upated.
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22.0023 Methods to Curve/Scale (Simpler)Simpler than the previous.
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23.01g and energy near earth
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25.0024 Stacked Ball Drop
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26.001Harmonics Simulation
Simulation of standing waves. Tranverse and Longitudinal as well as pressure.
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26.002Harmonics SimulationUpdated to show Displacement and Pressure Nodes
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26.003Harmonics SimulationUpdated to add buttons and to show particles
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26.501Longitudinal Harmonics SimulaitonAdded ablity to switch direction of component waves
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27.001Mass Falling on SpringSimulation and graphs for a Mass Falling on a spring, then undergoing SHM
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28.003Collisions in Lab vs CM FRame4 Cars undergo a 1D collision. Viewed in the Lab Frame and the CM Frame.
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29.03LC SimulationUpdated with graphs and tickers4/22/2024
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30.001Rubber Band Hysteresis Data
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30.002Rubber Band vs Spring Energy Decay
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30.003Rubber Band Data Files
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31.004Rope with Mass or Space Train
A look at the forces of 5 connected objects as a force is applied. This is like a train problem, but can also be used to represent a rope with mass.
10/4/2024
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32.022D CollisionA simulation of a 2D collision. The coefficient of restitution can be varied from 0 (completely inelastic) to 1 (completely elastic). The collision is assumed to be at the centers of the objects, not off axis.
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33.01Sliding to Rolling Transition of Bowling Ball SimulationSimulation of Bowling Ball Transitioning from Sliding to Rolling.
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33.02Sliding to Rolling TransitionGraphs Zoomed in - Sliding to Rolling of Bowling Ball Transition
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34.004SHM of Falling Through Earth TunnelUpdated again with link to non-uniform mass density.1/24/2021
Updated again with link to non-uniform mass density.
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35.021D Collision in Phase Space
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36.06Rolling Up Incline - No Slipping vs No FrictionAdded even more sliders, also sim speed
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36.07Rolling Up Incline - No Slipping vs No Friction
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37.01Standing Wave and Oscillator PlacementSimulation showing how the the amplitude and frequency of the oscillator affect the location of the first node relative to the oscillator for a string.
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38.01Double Slit Interference PatternShowing the regions of constructive and destructive interference for double slit interference.
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39.012019 AP 1 Problem 1Model of 2019 AP Physics 1 FRQ #1
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40.02Multiple Moveable Pulley SimulationSimulation of fixed and moveable pulleys with a mechanical advantage from 1 to 6.Pulley Pictures
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41.04Traffic Light Tension ProblemDrag the Stoplight to examine how the Tensions Change.
updated: 10/19/2021
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42.01Conical Pendulum SimulationConical Pendulum Simulation
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43.01One Lane Bridge - Graph of Cars Per Minute vs Size of Pack
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43.02One Lange Bridge Simulation (including animation)
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44.02Optimal Pulling Angle Block with FrictionAdded Vectors
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46.03Tower of Lire
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47.01Moment of Inertia of a Disk
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48.01Fourier is Like Adding CirclesInspired By Smater Every Day Video
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49.001Slipping on Angularly Accelerating Disk
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50.01Van De Graff
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51.03Indced Charge
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52.2Geometric Optics (Lenses and Spherical Mirrors)Spherical Lenses and Mirrors
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53.01Up to 3 Charges on a Line 1D V and E
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54.01RC Charging with 2 Resistors
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55.03Block on Frictionless Incline on Frictionless Table (Accelerating Reference Frame)
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55.04Graphs of Block on Frictionless Incline on Frictionless Table.
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56Spherical Non Conductor E and V
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57Smart Fan Car on Incline (non constant acceleration)
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58Template for Plotting Data with Error Bars and using a custom fit function.
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59.02Motion Graph MatchingAdded Animation of Cars
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60Particle F vs XEnter X(t) Function and mass of particle. A parametric equation of F vs X is graphed. V,A,F,Power are computed/graphed (hidden). Also a simulation of the motion is shown along with instantaneous values.
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61.03Ladeer Wall EquilibriumCritical Angle and Forces on Ladder (Added Vectors and Ladder Picture)3/30/2022
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62Driving Time DifferenceDifference in Driving Time for 2 speeds
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63Falling Meter Sticks
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64Polynomial "Sketcher"
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65Ladybug on Rotating Disk
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66Ladybug Walking Inward on Rotating Disk
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67Chord Tunnel SHM Earth Transit
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68Custom Animated Colors
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70Angular Momentum About Point* Inspired by
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71Pendulum with massive 'String' (treated like a rod)
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72Physical Pendulum SimulationRod with adjustable rotation axis. A point mass can also be added.4/7/2021
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73Quantized Acceleration PlayInclines with quantized accelerations4/20/2021
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74Slip N Fly - Water SlideSimulation of Slip N Fly Waterslide: https://youtu.be/kIHQqW0Srew?t=204 6/5/2021
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75Fading Parametric EquationsAnimated Parametric Equation using Brian Frank's Fading Algorithm6/11/2021
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76Direction from Origin to Point.Functions can now take Points! Cool. This give the direction of a point, and works in degree and radian mode.6/15/2021
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77Balls Bouncing in a BoxBalls Bouncing around a Box
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78Motion Graph Maker
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79Randomly Place People in Grid
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80Projectiles as falling Circle9/24/2021
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81EKGShow an animation of an EKG. Used it to make a "Moton Graph of an EKG" in Logge Pro9/29/2021
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82.1Vector AdditionVector Addition (Added a Target and Score using Actions)10/22/2021
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83.1CM PlaySimulation of Center of Mass of up to 100 randomized mass moving with randomized intial positions and velocities.10/22/2021
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84Many Projectiles SimultaneouslySimulation of Many projectiles simultaneously. Also Actions, and List Comprehension to replicate a 2D Array10/24/2021
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85Drawing Vectors in BulkA formula that will return a drawing of an array, and an example showing how this function can be used to draw Many Vectors simultaneously from a list or lists of points.10/26/2021
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86Force and Potential AnimationAn animation of a particle moving accoring to a potential energy curve11/21/2021
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87[12/13/2021] This is a repurposing of my [DH 1] to show two masses oscillating on a spring as the CM moves at a constant velocity. It was inspired by this Demonstration: https://www.youtube.com/watch?v=amfw2nABke4 12/13/2021
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88.2Large Angle Pendulum[3/12/2022] Angular position, Velocity, and Acceleration are calculated using Runge Kutta. The number of length of simulation and number of steps can be varied. A driving force and damping can also be turned on.Now with U,K,TME.
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89Field Near Earth vs Parallel PlateZoom in to see how field lines become perpendicular to Surface1/14/2022
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89.2Field and Potential Near SurfaceUpdate to include Potential Lines1/15/2022
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90Half LifeHalf Life Simulation1/20/2022
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91.06Electric Field and Potential, Concentric Spherical and Cylindrical, Conducting and NonAdded Ability to Ground Outside shell and calculate capacitance.
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92.02Electric Field and Potential, Planar, Spherical, Cylindrical, Non Conduct and Conducting, Gauss Surface, Optional DielectricAdded Planar Symmetry...and a lot more.2/28/2022
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92.03Electric Field and Potential, Planar, Spherical, Cylindrical, Non Conduct and Conducting, Gauss Surface, Optional DielectricSteve Stonebraker added vertical lines to the graph.2/1/2024
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93SHM of a Rolling Cylinder on a Spring[3/21/2022] Fun
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94.02Rolling with Attached Point MassesA Disk Roll downhill with point masses attached. Notice, if the attached masses are asymmetric the Disk will "Lurch"4/4/2022
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95Candles in a Bell JarBased on Darek Dewey's Demonstration of 5 successively shorter candles burning out under a bell jar.5/23/2022
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96Guessing Linear Regression Game"Draw" a line of best fit for some randomized Data. Get a score for how close your line comes to the linear regression line.9/18/2022
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97Front vs Rear Tire Forces while Stopping or AcceleratingThe normal and friction forces on the front and rear tires are shown. The CM and acceleration of the vehicle can be varied.11/202022
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98Uphill vs Downhill Normal Force on Block on InclineSimulation of the Uphill and Downhill Normal forces on a Block on an Incline.11/27/2022
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96GGraph of Uphill vs Downhill Normal Force on Block on InclineGraph of Uphill and Downhill Normal forces on a block on an incline vs incline angle.11/27/2022
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99Angular Momentum of a Figure Skater12/19/2024
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100Centripetal AccelerationCentripetal Acceleration1/23/2023
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101RHR Practice Magnetic Force on a Moving ChargeDirections of F V B are generated so that you can test yourself4/5/2023
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102Faradays/Lenz LawPredict direction of induced current4/30/2023
added b induced direction drawn (purple)
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1033D Simulation of Many Conical Pendula at Different Velocities10/4/2023
used segment instead of parametrics to draw strings. much faster running.
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1043D Many Pendula, Wave Snake, Falling Rods with attached mass, Many Large Angles3D. Uses Runge-Kutta. Presets for several types of pendula simulation parameters.10/6/2023
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1053D N Double Pendula, Explore the sensivity to release angle of N Pendula.10/7/2023
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1063D Banked Turn Simulation10/27/2023
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107Coin Paradox (small coin rolls around large)As discussed in veritasium video12/5/2023
updated to add dashed line of circle A center path.
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108Logistic Growth (Population)logistic growth of population12/4/2023
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109Normal Force on Rotating Planet12/13/2023
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110Types of SHM - UCM, Spring, PendulumAnimation, Vectors, Graphs of SHM. Toggle on and off components and type of vector (Pos,Vel,Acc)12/22/2023
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111Area of Polygon3/21/2024
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112Desmos Eclipse Brightness* Original Desmos by my student Aaariv Mody to to show how the overlap area of the moon and sun changes during an eclipse. I added a "perceived" brigthness based on the natural log of this coverage percentage.4/9/2024
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113Rolling on Incline 3dring and ring on frictionless incline comparison with vectors.4/25/2024
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1142024 AP Physics C Mechanics Set 1 Problem 3Equilibrium of a Road Question
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115Length Contraction and Time Dialation
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116Truck Catching Projectiles of varied Speeds same launch angle
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117Coefficient of Resitution of a Bouncing Ball
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1183 Piece Explostion 2D (conserve momentum)
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119Running Pace Chart - Track1/22/2025
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1204 Free Charges - How do they move when released?2/6/2025
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121Capacitor Intuition Builder2/23/2025Ver 5
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122Equilibrium of Rod and Hanging Mass (Rotational and Linear)3/2/2025