User:Cjcampo/ENES 100/Escher
Problem edit
Escher drawings can be made into 3D objects that if looked at in the right lighting, at the right angle, create an illusion ... typically of water going up hill or balls rolling up hill. These illusions make great demonstration devices that illustrate engineering and art to kids and start interesting conversations.
Conceive edit
Escher drawings can be drawn in 3D software and then physically modeled so their percularities become more exposed. Project doesn't have to include a water pump.
- This project has to have a chin rest system so the eye lines create the illusion.
- Videoing the illusion is a must
- Lighting is going to be very important
Design edit
Ball up hill
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Build work:
Build Instructions:
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Waterfall
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Build work:
Waterpump work: Goal is to build method pumping Water up 1 foot. Here are some photos of making the siphon of different types.
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Objective edit
Creating a visional illusion against people's common sense of gravity.
Background Design edit
Background design incorporated in the initial prototype
Second Background design Instead of tilting one side of the bottom, for the second background design, two sides of the bottom were tilted 15 degrees, which means there is a corner touching the ground.
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Escher background front view
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Escher background1 back view
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Escher background side view
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Escher background top view
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Escher background (bird-eye)
Technical drawings for the assembling the background
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Technical drawing for the "walls" of background
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Technical drawing for the assembly of background
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Technical drawing for the final product
Track Design edit
CAD on Autodesk Inventor
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V-Shaped Track: Isometric Model on Inventor
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V-Shaped Track: multi-view IDW drawing with dimensions
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Slider Track: CAD Isometric Model
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Slider Track: multi-view IDW drawing with dimensions
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Intersection Track: CAD Isometric Model
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Intersection Track: multi-view IDW drawing with dimensions
Friction edit
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Project prototype with sandpaper on top. It has a 3 degree angle.
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Plain track
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Painter's tape on the track
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Aluminum foil on the track
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100 grit sandpaper on the track
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220 grit sandpaper on the track
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Aluminum foil at a 5 degree angle
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100 grit sandpaper at a 10 degree angle
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Painter's tape at a 20 degree angle
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100 grit sandpaper on a 30 degree angle
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Test objects
The way friction was tested in this project was by taking a big marble, a little marble, a glass marble, a domino, a piece of wood, a Jenga block and a piece of styrofoam and running them down tracks covered in painter's tape, 100 and 220 grit sandpaper and aluminum foil. Then comparing the time to the plain track. This was done at 3, 5, 10, 20 and 30 degree angles. The average time was taken in seconds over three separate trails.
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At 3 Degree Angle | The material that had the fastest time was the small marble on the plain track. The material that had the slowest time was the small marble on 100 grit sandpaper. |
At 5 Degree Angle | The material that had the fastest time was the glass marble on the plain track. The material that had the slowest time was the small marble on 100 grit sandpaper. |
At 10 Degree Angle | The material that had the fastest time was the big marble on the plain track. The material that had the slowest time was the small marble on 100 grit sandpaper. |
At 20 Degree Angle | The material that had the fastest time was a domino on the painter's tape. The material that had the slowest time was a Jenga block on the plain track. |
At 30 Degree Angle | The materials that had the fastest time were a domino, a piece of wood and a Jenga block on the painter's tape. The material that had the slowest time was a piece of styrofoam on the painter's tape. |
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Bumper Track Plain
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Bumper Track With Aluminum Foil
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Bumpr Track With 100 Grit Sandpaper
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Bumper Track With 220 Grit Sandpaper
The way friction was tested in this part of the project was by taking a big marble, a little marble and a glass marble and running them down the bumper track covered in 100 and 220 grit sandpaper and aluminum foil. Then comparing the time to the plain track. The average time was taken in seconds over three separate trails.
The 220 grit sandpaper was the material that made the most difference for all three marbles. It had the fastest time with the small marble and the slowest time with the big marble.
Sliding Friction Data Tables and Videos
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Different Surfaces at a 20 Degree Angle A Piece of Wood on Taped Track Different Surfaces at a 30 Degree Angle A Piece Styrofoam on a Taped Track A Piece of Wood on Plain Track A Domino on an Aluminum Foil Track
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Rolling Friction Data Tables and Videos
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Different Surfaces at a 5 Degree Angle The Big Marble on Aluminum Foil The Small Marble on 100 grit sandpaper The Glass Marble on 220 grit sandpaper Different Surfaces at a 10 Degree Angle The Small Marble on Aluminum Foil The Glass Marble on 100 grit sandpaper The Big Marble on 220 grit sandpaper
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Bumper Track Data Tables and Videos
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Different Surfaces on the Bumper Track The Big Marble on the Plain Bumper Track The Glass Marble on the Aluminum Foil The Small Marble on 100 Grit Sandpaper The Big Marble on 220 Grit Sandpaper
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Friction Formulas and Calculations
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Rolling Friction Formula is F= (I×α)÷R The I= (2÷5) MR² and stands for rotational inertia. The α= (5×g×sin θ)÷ 7R and stands for angular acceleration. The final formula for F= (2×g×sin θ) ÷ 7 g= 9.8
Sliding Friction Formula Ff = (μ)(N) N= (g)(m)(cos ϴ) Ff = (μ)( g)(m)(cos ϴ) where Ff = frictional force μ = static (μs) or kinetic (μk) frictional coefficient N = normal force Ff - Frictional Force μ - coefficient of friction on different surfaces g - acceleration due to gravity which is constant at 9.8 m - mass of the object cos ϴ - angle of the board or whatever surface the object is sliding down
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Ball/Water flowing Uphill
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Our design is based off of an MC Escher waterfall drawing. The bottom track will be flush with the ground. The second tier of the project is the part which looks like the illusion. The bottom track is about 2 inches wide and is roughly a total length of like 21 inches. The angles will be at about 45 degrees when the design is completely finished. Also the design will be extruded so it looks more like a track but the picture is a birds eye view of what it will look like and those are the dimensions of the bottom track. This track is made of balsa wood which is very light which means it is very brittle in the sense that it could fall apart if water is added to it. Might have to find a substitute like a ball or marbles. If water is added it may show lots of leaks and a solution might be to have to add a caulk like material to seal off the edges of the track. Also this shows a Rough view of what the illusion will look like when the camera is on the track.
2.5in by 10in 2.5in by 8in: Twice 2.5in by 6in: Twice 2.5in by 4in Attach pieces using duct tape to create bottom track and 3rd level upper tier of the design. Measure and cut 8 pieces of foam board, these will make up the side rails of the tracks: 1.25in by 10in: twice 1.25in by 8in: Four times 1.25in by 6in: Four times 1.25in by 4in: twice Attach pieces on either side of the tracks as side rails to help keep the marble from rolling off.
Trial 1: 3.63 seconds Trial 2: 3.67 seconds Trial 3: 3.59 seconds Trial 4: 3.63 seconds Trial 5: 3.65 seconds Trial 6: 3.71 seconds
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Implement edit
Escher Demo Projectː Marble rolling against gravity
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Prototypes
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Operate edit
Escher Demo Projectː Marble rolling against gravity
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Links to demo videos on Youtubeː
Initial Prototype Demo with Dual Track and Two Same Size Marbles
Initial Prototype Demo with Dual Track and Two Different Size Marbles
Revelation of the Whole Design Structure
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Demo edit
Escher Demo Projectː Marble rolling against gravity
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Next Steps edit
Ball/Water Flowing Uphill
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Ball up hill
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