Engineering Mechanics: Dynamics
Engineering Mechanics: Dynamics
8th Edition
ISBN: 9781118885840
Author: James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher: WILEY
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Chapter 1, Problem 12P
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Determine the angle required to experience same force on particle by sun and Jupiter.

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A piston-cylinder device initially contains 0.08 m^3 of nitrogen gas at 130 kPa and 170°C. The nitrogen is expanded to a pressure of 80 kPa via isentropic expansion. Determine the final temperature and the boundary work done by the system during this process.
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From the information in the image, I needed to find the orientation of U relative to Q in vector basis q_hat. I transformed the euler angle/axis representation to euler parameters. Then I got its conjugate in order to get the euler parameter in N frame relative to Q. The problem gave the euler angle/axis representation in Q frame relative to N, so I needed to find the conjugate. Then I used the euler parameter rule of successive rotation to find the final euler parameters that describe the orientation of U relative to Q. However that orientation is in n_hat which is the intermediate frame. How do I get the final result in q_hat?
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