MIT2_00AJs09_res01B

# MIT2_00AJs09_res01B - MIT OpenCourseWare http:/ocw.mit.edu...

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MIT OpenCourseWare http://ocw.mit.edu 2.00AJ / 16.00AJ Exploring Sea, Space, & Earth: Fundamentals of Engineering Design Spring 2009 For information about citing these materials or our Terms of Use, visit: http://ocw.mit.edu/terms .

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NAME: ___________________________ Lab Section: W or F (circle one) 2.00AJ/16.00AJ FUN da MENTALS of Engineering Design: Explore Space, Sea, and Earth Pre-“test” Technical Questions Homework #1 Due THURSDAY February 5, 2009 This exercise is an individual, closed book exercise designed to generally assess your knowledge at the beginning of this course. This will NOT be marked for a grade, however completion of the exercise will be noted. You may find that you do not understand some of the questions or that others are very basic – this is intentional, do not worry . Try to complete this exercise without stopping and make a note of the time you spent working on it. You can make your marks directly on this paper. Approximate time to complete exercises: ______ minutes (to the nearest 5 minutes) 1) Given a function f(x) , expand f(x) using Taylor Series Expansion (to third order): 2) Given a continuously differentiable scalar function f(x,y) define its vector gradient. What does this mean qualitatively? 3) Given a continuously differentiable vector function v (x,y) define its divergence. What does this mean qualitatively? 4) Give an equation for the moment of inertial for the following objects (label your chosen variables):
NAME: ___________________________ Lab Section: W or F (circle one) 5) You throw a 1.5 kg ball up into the air. At its highest point, the ball’s

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## This note was uploaded on 11/05/2011 for the course ENG T 101 taught by Professor Spakovszky during the Fall '09 term at MIT.

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MIT2_00AJs09_res01B - MIT OpenCourseWare http:/ocw.mit.edu...

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