
Elements Of Electromagnetics
7th Edition
ISBN: 9780190698614
Author: Sadiku, Matthew N. O.
Publisher: Oxford University Press
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Transcribed Image Text:Learning Goal:
To describe the angular and linear velocity of systems
under translational and rotational motion using the
instantaneous center of zero velocity.
The velocity of any point B in a rigid body can be
described by
VB = VA +w X rBA
where w is the angular velocity, rBA is the relative
position vector from point A to point B, and vĄ is the
velocity of point A. Choosing point A to have zero
velocity, VA = 0, simplifies the equation to
VB = w X FBA
The point chosen such that the velocity is zero is called
the instantaneous center of zero velocity (IC). The IC
lies along the instantaneous axis of zero velocity, which
is perpendicular to the plane of motion. The intersection
of the axis and plane of motion define the location of
the IC. Because we chose point A as the IC, the
equation becomes
VB = wX FBIC
Point B revolves around the IC. Because of this
circular motion the direction of vg must always be
perpendicular to 1BIC and vg's magnitude becomes
VB = WTBIC
Figure
1 of 1
VC

Transcribed Image Text:ICIO
VBIC
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Previous Answers
v Correct
Part B
At the instant shown, determine wBC, the magnitude of the angular velocity of link BC. Use the same values from Part A: 0 = 50.0 ° , vc = 4.30 ft/s, l1 = 3.80 ft , and l2 = 1.00 ft .
Express your answer numerically in radians per second to three significant figures.
• View Available Hint(s)
vec
WBC =
rad/s
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