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.

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.

Trigonometry (MindTap Course List)

8th Edition

ISBN:9781305652224

Author:Charles P. McKeague, Mark D. Turner

Publisher:Charles P. McKeague, Mark D. Turner

Chapter3: Radian Measure

Section3.5: Velocities

Problem 62PS: A two-stage gear train consists of four gears meshed together (Figure 10). The second and third...

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Question

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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