physics of...
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![Page 1: Physics of SPHERESstatic.zerorobotics.mit.edu/docs/tutorials/IntroToPhysics.pdfPhysics’and’Zero’Robo5cs’ • To’compete’successfully’in’Zero’Robo5cs,’you’ will’need’to’putyour’knowledge’of’physics’to’](https://reader035.vdocuments.net/reader035/viewer/2022071503/61231f39e65c2f2e2c09350e/html5/thumbnails/1.jpg)
Physics of SPHERES
![Page 2: Physics of SPHERESstatic.zerorobotics.mit.edu/docs/tutorials/IntroToPhysics.pdfPhysics’and’Zero’Robo5cs’ • To’compete’successfully’in’Zero’Robo5cs,’you’ will’need’to’putyour’knowledge’of’physics’to’](https://reader035.vdocuments.net/reader035/viewer/2022071503/61231f39e65c2f2e2c09350e/html5/thumbnails/2.jpg)
Physics and Zero Robo5cs
• To compete successfully in Zero Robo5cs, you will need to put your knowledge of physics to use, especially dynamics (the study of mo5on and changes in mo5on.)
• If you haven’t yet taken a physics course in school, don’t worry. These tutorials will guide you, and you will learn along the way as the compe55on progresses.
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![Page 3: Physics of SPHERESstatic.zerorobotics.mit.edu/docs/tutorials/IntroToPhysics.pdfPhysics’and’Zero’Robo5cs’ • To’compete’successfully’in’Zero’Robo5cs,’you’ will’need’to’putyour’knowledge’of’physics’to’](https://reader035.vdocuments.net/reader035/viewer/2022071503/61231f39e65c2f2e2c09350e/html5/thumbnails/3.jpg)
Physics in Space • When programming your SPHERES, you do not have to worry about forces like fric5on and air resistance in the simula5on.
• Even in the 2-‐D phase of the compe55on, it is as if the SPHERES are in zero gravity but can only move in one plane.
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![Page 4: Physics of SPHERESstatic.zerorobotics.mit.edu/docs/tutorials/IntroToPhysics.pdfPhysics’and’Zero’Robo5cs’ • To’compete’successfully’in’Zero’Robo5cs,’you’ will’need’to’putyour’knowledge’of’physics’to’](https://reader035.vdocuments.net/reader035/viewer/2022071503/61231f39e65c2f2e2c09350e/html5/thumbnails/4.jpg)
Weightlessness
• Weight is the force with which gravity pulls on an object. It varies depending on the object’s loca5on in the universe.
• For all prac5cal purposes, the SPHERES are weightless on board the Interna5onal Space Sta5on. You will program your satellites to move weightlessly in space.
• However, no weight does not mean no mass. Mass is the amount of maPer in an object, and is constant everywhere in the universe.
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![Page 5: Physics of SPHERESstatic.zerorobotics.mit.edu/docs/tutorials/IntroToPhysics.pdfPhysics’and’Zero’Robo5cs’ • To’compete’successfully’in’Zero’Robo5cs,’you’ will’need’to’putyour’knowledge’of’physics’to’](https://reader035.vdocuments.net/reader035/viewer/2022071503/61231f39e65c2f2e2c09350e/html5/thumbnails/5.jpg)
Rigid Bodies
• When your satellite moves, all parts of the satellite are moving together. The satellite does not change shape, so it is called a rigid body.
• Although each satellite occupies a space larger than one point and has considerable volume, we will consider the posi5on of the satellite to be the point at which its center is located.
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![Page 6: Physics of SPHERESstatic.zerorobotics.mit.edu/docs/tutorials/IntroToPhysics.pdfPhysics’and’Zero’Robo5cs’ • To’compete’successfully’in’Zero’Robo5cs,’you’ will’need’to’putyour’knowledge’of’physics’to’](https://reader035.vdocuments.net/reader035/viewer/2022071503/61231f39e65c2f2e2c09350e/html5/thumbnails/6.jpg)
Transla5on and Rota5on
• Transla4on and rota4on are the two essen5al types of mo5on. Both are crucially important to controlling your satellite.
• Transla5on is change in posi5on (forward, sideways, up, down, etc).
• Rota5on is movement about an axis or a fixed point.
• A6tude, or orienta5on, describes how much an object has rotated from its original posi5on.
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![Page 7: Physics of SPHERESstatic.zerorobotics.mit.edu/docs/tutorials/IntroToPhysics.pdfPhysics’and’Zero’Robo5cs’ • To’compete’successfully’in’Zero’Robo5cs,’you’ will’need’to’putyour’knowledge’of’physics’to’](https://reader035.vdocuments.net/reader035/viewer/2022071503/61231f39e65c2f2e2c09350e/html5/thumbnails/7.jpg)
Transla5on and Rota5on
Original Transla5on Rota5on Both
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