Answered: ZA B хк (a) By considering the angle 0…

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 61PS: A gear train consists of three gears meshed together (Figure 9). The middle gear is known as an...

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This exercise demonstrates a connection between the curl vector and rotations. Let B be a rigid body rotating about the z-axis. The rotation can be described by the vector w = ωk, where ω is the angular speed of B, that is, the tangential speed of any point P in B divided by the distance d from the axis of rotation. Let

r = x, y, z

be the position vector of P.

Find v.

ZA
B
хк
(a) By considering the angle 0 in the figure, find the velocity field of B.
v = curl
w × r
v = w x div r
v = w X r

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