ES3004 – Take-Home Exam 1: May 31-June 2, 2017 Name (Print):_______________________ -DUE ONLINE (myWPI Canvas) BY MIDNIGHT ON FRIDAY, JUNE 2, 2017. PLEASE SUBMIT YOUR EXAM SOLUTION AS A SINGLE PDF FILE with filename yourfulllnameexam1.pdf. -INCLUDE THESE FOUR EXAM PAGES (WITH YOUR FINAL ANSWERS) AS THE FIRST FOUR PAGES IN YOUR PDF FILE. Clearly show your work in detail the extra blank pages. Place final answers on the provided lines or spaces. By signing below I confirm that I have not received help from any other person when completing this exam. __________________________________ You are allowed to use notes, homework, and your fluid mechanics textbook to solve this exam. Use fundamental concepts and equations. Answer each question as completely as possible; partial credit will be given. 1. (25 points) An automobile is trying to climb a hill covered with ice in winter. A thin film of water exists between the spinning tires and the ice. Assume that any friction between the tires and ice is due to this water film and that no ‘dry’ frictional forces occur. The automobile’s forward velocity up the hill is zero. It is a four-wheel drive vehicle and all four wheels are spinning. Hint: Assume that the gap between the tire and ice is small so that a linear velocity profile results. a) The angular rotation rate of the tires ? necessary to keep the automobile stationary depends on st the several parameters listed in the 1 column of the table. Fill in the table. Briefly explain your th answers for the 4 column (Analysis Prediction) at the end of your solution for part b) below. You do not need to justify your answers for the rest of the table. If the Your Analysis Does Your Independent Prediction Prediction: Prediction Independent Variable From Match the Variables Increases Physical Analysis Intuition: Prediction? (with all other Does the Does your parameters Write YES to held constant) angular answer for...
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