In cylindrical coordinates, a particle has position vector F = rê, + ze = r cos(0)i +rsin(0)j + zk. Show that velocity and acceleration of the particle are given by V = rê, + roep. 10 = (ř — rẻ²) ê, + (rë + +2řØ)êø + ¤k.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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In cylindrical coordinates, a particle has position vector
F = rê, + ze = r cos(0)i + r sin(0)j + zk.
Show that velocity and acceleration of the particle are given by
7 =
rê, +roeg.
a =
(† — r0²) êr + (rö + +2řØ)êø + k.
Transcribed Image Text:In cylindrical coordinates, a particle has position vector F = rê, + ze = r cos(0)i + r sin(0)j + zk. Show that velocity and acceleration of the particle are given by 7 = rê, +roeg. a = († — r0²) êr + (rö + +2řØ)êø + k.
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