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Grade 11Mechanics

Experiment rotating a book after the fashion of Fig. but this time use angular displacements of 1800 rather than 900 What do you conclude about the final positions of the book? Does this change your mind about whether (finite) angular displacements can be treated as vectors?
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11 Years agoGrade 11
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Profile image of Kevin Nash
11 Years ago
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