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--- 183_projects:problem8_fall2021_b [2021/11/02 14:09] – created pwirving
+++ 183_projects:problem8_fall2021_b [2022/01/18 07:07] (current) – pwirving
@@ Line 1: / Line 1: @@
 ====== Project 8 A: Post-Apocalypse Now ======
+<WRAP info>
+/*
+==== Project 8A: Learning goals ====
+  * For single-particle systems where little or no heat is exchanged with the surroundings, use conservation of energy ( $\Delta E_{\rm sys}=W_{\rm ext}$ ) to explain and/or predict the final state of the system (this includes choosing a system, and setting up initial and final states consistent with that system).
+  * For multi-particle systems where little or no heat is exchanged with the surroundings, use conservation of energy ( $\Delta E_{\rm sys}=W_{\rm ext}$ ) to explain and/or predict the final state of the system (this includes accounting for the potential energy of each pair of interacting particles; gravitational potential energy).
+</WRAP>
 {{ 183_projects:apoc2.jpg??800 }}
@@ Line 13: / Line 24: @@
 Your team is attacked by [[183_notes:supplemental|wild boar-tigers]]. While fighting them off, you manage to slay one of them and collect it for sustenance. Your team returns to the entrance of the bunker only to find it is locked and no one is answering the door.
-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 ^
@@ Line 19: / Line 30: @@
 | Specific Heat Capacity ( $\times 10^{3}\,{\rm J/kg/K}$ ) |   1.0     |    1.4    |
-====== Project 8 Part B : Engineering a movie stunt ======
+====== Project 8 Part C  : Engineering a movie stunt ======
+<WRAP info>
+==== Project 8A: Learning issues ====
+  * Rotational and Translational Kinetic Energy
+  * Local Gravitational Potential Energy
+  * Moment of Inertia
+  * Conservation of Energy
+  * Relationship between Linear and Angular Velocity
+</WRAP>
 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.
@@ Line 28: / Line 56: @@
 Remember this is Hollywood, so make sure the stunt is exciting!
+====== Project 8 Part C : Engineering a movie stunt ======
+<WRAP info>
+==== Project 8C: Learning issues ====
+  * Rotational and Translational Kinetic Energy
+  * Moment of Inertia
+  * Conservation of Energy
+  * Relationship between Linear and Angular Velocity
+  * Point Particle versus Real Systems
+</WRAP>
+{{ 183_projects:drsnightmare.jpg }}
+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.
+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.
+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.
+Unfortunately, the island was chosen for its beauty and not any sort of safety considerations. The island itself is only 2.5 km across at its widest point, so the wire cannot unwind too much or the snowmobile will end up in the frozen arctic waters.
+The reel is hoop-shaped, but its mass has not been chosen. Your team is meant to decide how to proceed with the stunt, and report back to the production company.  Find the appropriate force that the snowmobile should exert on the wire/sled, and determine the mass of the reel. Some initial testing of reels of different masses and radii have shown (for a constant force) that the relationship between the angular speed of the reel and the linear speed of the sled is related to the ratio of the masses of the sled and reel. The equation that best fits this data is given below,
+ $\omega_{\rm reel} = \dfrac{M_{\rm sled}}{m_{\rm reel}}\dfrac{v_{\rm sled}}{R_{\rm reel}}$
+{{ 183_projects:sled_on_ice.001.png }}
+*/