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183_projects:problem8_fall2021_b [2021/11/02 14:09] – created pwirving | 183_projects:problem8_fall2021_b [2021/11/04 13:28] – pwirving | ||
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====== Project 8 A: Post-Apocalypse Now ====== | ====== Project 8 A: Post-Apocalypse Now ====== | ||
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+ | <WRAP info> | ||
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+ | ==== Project 8: Learning goals ==== | ||
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+ | * For single-particle systems where little or no heat is exchanged with the surroundings, | ||
+ | * For multi-particle systems where little or no heat is exchanged with the surroundings, | ||
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+ | </ | ||
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{{ 183_projects: | {{ 183_projects: | ||
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Your team is attacked by [[183_notes: | Your team is attacked by [[183_notes: | ||
- | Your team takes refuge near a fantastic oil fire (you can google temp of oil fire). It's getting cold and you are hungry. Willard suggests you cook the beast using an age old technique: boiling water in a dirt pit. You'd like to avoid the carcinogens associated with cooking the beast directly over the oil fire. Your team finds a pile of hard and soft rocks (soft rocks are esseentially clay) near the oil fire. To properly cook the beast, you need to achieve a cooking temperature of 370K. You dig a pit that is a semi hemisphere - you must design it so that water does not escape and that you acheive the cooking temperature with the boar tiger meet in the water filled pit. . | + | Your team takes refuge near a fantastic oil fire (you can google temp of oil fire). It's getting cold and you are hungry. Willard suggests you cook the beast using an age old technique: boiling water in a dirt pit. You'd like to avoid the carcinogens associated with cooking the beast directly over the oil fire. Your team finds a pile of hard and soft rocks (soft rocks are esseentially clay) near the oil fire. To properly cook the beast, you need to achieve a cooking temperature of 370K. You dig a pit that is a hemisphere - you must design it so that water does not escape and that you acheive the cooking temperature with the boar tiger meet in the water filled pit. . |
^ ^ Hard rock ^ Soft rock ^ | ^ ^ Hard rock ^ Soft rock ^ | ||
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====== Project 8 Part B : Engineering a movie stunt ====== | ====== Project 8 Part B : Engineering a movie stunt ====== | ||
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+ | <WRAP info> | ||
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+ | ==== Project 9: 5 Questions to test pre reading ==== | ||
+ | * What is meant by inertia? | ||
+ | * What is moment of inertia dependent on? | ||
+ | * What is translational kinetic energy? | ||
+ | * If you have a coin rolling across a table, what type of energies will it have? | ||
+ | * What is the equation for rotational kinetic energy? | ||
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+ | </ | ||
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You and your team have been hired by Marvel Entertainment to develop a stunt for the next offering in the Marvel Cinematic Universe -- Squirrel Girl - New Warrior. This film introduces a new character: Squirrel Girl. | You and your team have been hired by Marvel Entertainment to develop a stunt for the next offering in the Marvel Cinematic Universe -- Squirrel Girl - New Warrior. This film introduces a new character: Squirrel Girl. | ||
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Remember this is Hollywood, so make sure the stunt is exciting! | Remember this is Hollywood, so make sure the stunt is exciting! | ||
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+ | ====== Project 8 Part C : Engineering a movie stunt ====== | ||
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+ | <WRAP info> | ||
+ | ==== Project 10B: Learning issues ==== | ||
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+ | * Rotational and Translational Kinetic Energy | ||
+ | * Moment of Inertia | ||
+ | * Conservation of Energy | ||
+ | * Relationship between Linear and Angular Velocity | ||
+ | * Point Particle versus Real Systems | ||
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+ | </ | ||
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+ | {{ 183_projects: | ||
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+ | Your success with the previous stunt has lead to your being hired by Marvel Entertainment again for the new Doctor Strange film (a film that some have waited nearly 20 years to be released). Benedict Cumberbatch is Doctor Stephen Vincent Strange, a neurosurgeon who protects the Earth from magical threats both foreign and domestic. | ||
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+ | In one of the final scenes, Doctor Strange has been captured by Nightmare and has been sent to the Dark Dimension using a teleportation system constructed by Dormammu. The teleportation system is located on a small island above the Arctic circle. Ms. Marvel and Spiderman arrive to save Doctor Strange by crossing into the Dark Dimension. They find a sled that can be used to launch them into the teleportation system. Spidey uses his web shooters to attach a web strand to the teleportation system and accelerate he and Ms. Marvel into the teleportation system. | ||
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+ | For this stunt, the current plan is to use a sled ($M_{\rm sled} = 1500\,{\rm kg}$) with a wire reel system attached to the front end. The wire will be attached to a snowmobile and the sled will be dragged across the ice while the wire unwinds from the reel. The sled must be traveling with a speed of 30 m/s at a distance of 100 m from its starting location. | ||
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+ | Unfortunately, | ||
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+ | The reel is hoop-shaped, | ||
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+ | $$\omega_{\rm reel} = \dfrac{M_{\rm sled}}{m_{\rm reel}}\dfrac{v_{\rm sled}}{R_{\rm reel}}$$ | ||
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+ | {{ 183_projects: |