The problems on this page introduce different elements of the table and briefly capture some of the basic physics analysis of each element. As you progress through the first few weeks of the course, you should complete similar analyses based on your strategies and concepts. But remember, the analysis in each problem and solution covers only the basic physics. In the real world, you must extend these basic physics principles into a complete analysis based on the components in your actual machine and incorporate these results into tools such as a power budget, energy budget, error budget, etc.
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Problem Set |
Pure Physics Focus | Design Challenge: “The Big Dig” 2.007 Contest | Problems | Solutions |
|---|---|---|---|---|
|
1 |
Kinematics: One Dimensional Motion, Velocity and Acceleration | Table Familiarization | problem_1.pdf | None |
|
2 |
Kinematics in One and Two Dimensions | Scoring Strategies: Travel Times to Scoring Zones | problem_2.pdf | Solution_02.pdf |
|
3 |
Newton's Laws of Motion, Motion: Force, Mass, and Acceleration, Vectors in Physics | Scoring Concept Investigation: Shot-Put Vehicle | problem_3.pdf | Solution_03.pdf |
|
4 |
Uniform Circular Motion | Platter Strategies: Ball Liberation | problem_4.pdf | Solution_04.pdf |
|
5 |
Universal Law of Gravitation; Circular Planetary Orbits | Evaluation of Scoring Concepts: Spinner vs. Plower | problem_5.pdf | Solution_05.pdf |
|
6 |
Static Equilibrium and Torque, Work-Kinetic Energy Theorem, Work Done by Friction and other Dissipative Forces | Hockey Puck Handling Strategies | problem_6.pdf | Solution_06.pdf |
|
7 |
Motion With Dissipative Forces, Potential Energy, Conservation of Energy | Hockey Puck Handling Concepts | problem_7.pdf | Solution_07.pdf |
|
8 |
Conservation of Energy: Restoring Forces and Harmonic Motion, Center of Mass, Momentum, Impulse and Newton's Second Law | Ball Pyramid breaking Strategies | problem_8.pdf | Solution_08.pdf |
|
9 |
Momentum and Collision Theory, Rigid Bodies Kinematics | Ball Pyramid breaking Concepts | problem_9.pdf | Solution_09.pdf |
|
10 |
Torque, Rotational Dynamics, Physical Pendulum, Angular Momentum | Paddle Spinning Strategies | problem_10.pdf | Solution_10.pdf |
|
11 |
Angular Momentum, Rotation and Translation | Paddle Spinning Concepts | problem_11.pdf | Solution_11.pdf |
|
12 |
Kinetic Theory, Temperature and Internal Energy and Work Done by Ideal Gas, Second Law of Thermodynamics, Mechanical Equivalent of Heat | Pneumatic Energy Storage Strategy | problem_12.pdf | Solution_12.pdf |
|
13 |
Planetary Motion and Energy Diagrams, Bohr Atom, Applications of Mechanics to Everyday Life | Pneumatic Energy Concept | problem_13.pdf | Solution_13.pdf |
|
14 |
Applications of Mechanics to Everyday Life: The 2.007 Design contest | Assembling Module Concepts into a Final Machine to Realize Your Chosen Contest Wining Strategy! | problem_14.pdf | Solution_14.pdf |