Final TH 2011

# Final TH 2011 - Phys601/F11/Final Take-Home ~ 72 hours 1....

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1 Phys601/F11/Final Take-Home ~ 72 hours 1. Work independently but can consult any text, etc 2. Return only this exam booklet, with boxes filled out. Do your scratch work elsewhere but then collect all important steps and summarize these in the booklet, succinctly and neatly. If extra space is needed (it should not be), use the back sides. Do not attach other pages unless you absolutely have to. 3. Fill in the boxes as instructed. The boxes may ask for intermediate steps. 4. Send email to me for any clarifications/typos.

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2 Problem 1 Torque (20 points) (Goldstein Ch5 Problem 18) This problem is to be done in 3 ways, 1.1 to 1.3 below First, on this page, draw some pictures, to show x^, y^, z^, e 1 ^, e 2 ^, e 3 ^, ω , θ , etc.
3 1.1 In this part, find the torque using body-based dynamical equations. Show the torque, in body based system. Show the important components of the Inertia tensor. Specify if body-based, space-based, etc.

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4 1.2 Now, calculate in the space based system and evaluate N from this. Show the important components of the Inertia tensor. Specify if body-based, space-based, etc. Show the torque and compare with the body based system.
1.3 Use free-body diagrams to note that there must be an additional force on each mass to make the system rotate as specified; find this force and therefore find N . Show a sketch depicting any extra forces and then specify the torque

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## This note was uploaded on 12/29/2011 for the course PHYSICS 601 taught by Professor Hassam during the Fall '11 term at Maryland.

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Final TH 2011 - Phys601/F11/Final Take-Home ~ 72 hours 1....

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