MS1 - W24

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University of Michigan *

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ME240

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Mechanical Engineering

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Feb 20, 2024

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ME250 | W24 | University of Michigan MS1: Strategy Proposal (56 pts) Due Friday, January 19th by 11:59 pm on Canvas This is an individual assignment. Your assignment must be submitted as a PDF to Canvas by the above due date. This assignment must be completed on your own . Your milestone assignment will be evaluated on content and overall quality (i.e. organization, clarity, and readability). The purpose of this milestone is to brainstorm strategies to play (and conquer) the Space Race. The strategy is a way to play the game and win; what the RMPs in each zone should be doing rather than how they should be doing it. To be creative and explore all the possible strategies, you should avoid any specific machine design concept at this stage in the design process. For example, instead of saying “an all-wheel-drive RMP will use an arm to lift the cube” (how to do something), the strategy should just include statements like “the RMP will lift the cube” (what it should be doing). As a result, your strategy won’t constrain the design to one with wheels and an arm. You want to think on a broader, higher level at this point. You are encouraged to generate many strategies in Parts 1 and 2 of this assignment, but only choose two to submit. The submission requirements are detailed below. Make a copy of the template provided on canvas and save it to your computer to complete this assignment. TEMPLATE: https://docs.google.com/document/d/1qZJLakpfXVm4fbfdMlcSkcnIzBmLcmNLtCcBlkYBXlg/edit?usp= sharing 1. Read the rules document on the Home page of Canvas, and make sure you are familiar with the overall challenge of the game, the game rules, and the scoring scheme. Come up with TWO different strategies for the Space Race competition with each strategy involving a total of four RMPs. These strategies should be written in complete sentences as either a paragraph or bulleted list. Your strategies should at least include the decisions on the following items: a. Picking up cubes: the number of cubes to pick up at a time and the priority of the cubes ( i.e. , from the RMP’s own zone or from other zones). b. Transporting cubes through the course: the routes that the RMP will take and the way to overcome the challenges along the routes. c. Delivering cubes to different zones or to the GOAL: the number of cubes to deliver at a time and the location of delivery, including your choice of GOAL. d. How can you take advantage of the number of cubes in each zone?

e. How should your RMPs prioritize cubes of different colors and GOALs of different multipliers? f. In each zone, is there any interaction required between RMPs? For example, will one RMP require the next RMP to be at a specific place in the next zone to complete the delivery? 2. Answer the following to reflect on BOTH of the generated strategies, and narrow down to a strategy to pitch to the rest of the squad. a. Discuss advantages and disadvantages of each strategy, leveraging the scoring and rules of the game. Provide at least one advantage (strength) and at least one disadvantage (weakness) for each strategy. b. Determine which of the strategies you think is the best, and why? i. Feel free to list an additional strategy that combines aspects from both strategies if comparing the two generates any new ideas ii. Describe the reason why you selected your chosen strategy iii. Using the worksheets on the last pages , sketch the movement of each RMP according to your chosen strategy. Choose four significant moments, and draw the snapshots of those moments to describe the motion over time. Draw RMPs as squares, and use arrows and text to indicate the motions that each RMP will take during the game. ( Note: Each moment should include all four RMPs doing something ) 3. List at least three risks for your selected squad strategy described in Part 2 (what could go wrong), and methods of addressing each of the risks (how your squad could react). 4. Consider possible outcomes from the risks in Part 3 and list the best, the average, and the worst outcomes you would expect. Predict a score and probability for each outcome. Write one or two sentences justifying your choice of the score and probability for each outcome. Expected score for your strategy can be calculated using the formula below: ------------------------------------------------- Below is an example ---------------------------------------------

Best outcome: Everything works well; each RMP can transport cubes through zones… ● Flag is planted by RMP 2 ● RMP 4 passes all 10 alien cubes to the rocket ● … (include details for all other RMPs) Delivery Location Area 51 Rocket Mineral Cube Alien Power Source Mineral Cube Alien Power Source Number of Cubes 10 10 5 Score 2 8 4 Disrupting the Asteroid 10 pts. Planting the Flag 15 pts. Artificial Stars 1 pt. Each Bonus for all Stars 5 pts. Total Points (Max): 120+10+15+10+5=160 PREDICTED SCORE = 160

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Average outcome: All cubes get placed in Area 51… ● Asteroid disrupted by RMP 1 ● Flag is not planted by RMP 3 ● … (include details for all other RMPs) Delivery Location Area 51 Rocket Mineral Cube Alien Power Source Mineral Cube Alien Power Source Number of Cubes 10 10 5 Score 1 4 2 Disrupting the Asteroid 10 pts. Planting the Flag 15 pts. Artificial Stars 1 pt. Each Bonus for all Stars 5 pts. Total Points 60+10+10+5=85 points PREDICTED SCORE = 85

Worst outcome: Most strategies do not work ( be more specific )… ● No cubes are scored by RMP 1,2,3 ● Stars are all activated by RMP 4 ● … (include details for all other RMPs) Delivery Location Area 51 Rocket Mineral Cube Alien Power Source Mineral Cube Alien Power Source Number of Cubes Score Disrupting the Asteroid 10 pts. Planting the Flag 15 pts. Artificial Stars 1 pt. Each Bonus for all Stars 5 pts. Total Points (Max): 10+5= 15 points PREDICTED SCORE = 15

In this example, we expect the average outcome would have a 50% chance. And for the other half of the probability, the squad would have an equal chance to do very well or rather poorly. Therefore, the probability of 100% would be distributed into the three outcomes: 50% for the average, 25% for the best, and 25% for the worst. (Your probability values may be different, but they must add up to 100%.) So, the expected score can then be calculated as shown below: ------------------------------------------------- Above is an example -------------------------------------------- Be prepared to discuss the results of your expected score with your squad in the lab. This expected score technique should help in deciding the strategies you and your team will move forward with throughout the semester.

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