Show that the third derivative with respect to time of the position vector (jerk) of a parti- cle moving in a rotating coordinate system in terms of appropriate derivatives in the rotat- ing system is given by +3wxF'+wxr'+3wx (wx r') F = F +3wxr' +wx (w x r')+2wx (wxr')-w² (wx r')

College Physics
11th Edition
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Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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Show that the third derivative with respect to time of the position vector (jerk) of a parti-
cle moving in a rotating coordinate system in terms of appropriate derivatives in the rotat-
ing system is given by
F = F +3wxr' + 3wx' + xr'+3wx (w x r')
+wx (w x r') + 2wx (wxr')-w² (wxr')
Transcribed Image Text:Show that the third derivative with respect to time of the position vector (jerk) of a parti- cle moving in a rotating coordinate system in terms of appropriate derivatives in the rotat- ing system is given by F = F +3wxr' + 3wx' + xr'+3wx (w x r') +wx (w x r') + 2wx (wxr')-w² (wxr')
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