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Unformatted text preview: 1.053J/2.003J Dynamics and Control I Fall 2006 Exam 1 30 th October, 2006 Important Notes: 1. You are allowed to use one letter-size sheet (two-sides) of notes. 2. There are three problems on the exam. You have 80 minutes to solve them. Cite as: Sanjay Sarma, Nicholas Makris, Yahya Modarres-Sadeghi, and Peter So, course materials for 2.003J/1.053J Dynamics and Control I, Fall 2007. MIT OpenCourseWare (http://ocw.mit.edu), Massachusetts Institute of Technology. Downloaded on [DD Month YYYY]. 1. A space shuttle orbiter and an astronaut Figure 1 A space shuttle is orbiting the earth in a circular orbit with a constant angular speed as shown in Figure 1. A point Q fixed on the space shuttle is at distance R from the origin O. Frame A is fixed. Frame B is attached to the space shuttle. The space shuttle orbits such that the basis vector b 2 always remains tangential to the orbit as shown in the figure. Clearly, = ....
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- Spring '05