Transcript One Axis Rotation

Rotation of Objects About a
Single Axis
Prepared by:
Sheryl Sorby, Ph.D.
Amy Hamlin, Ph.D.
Norma Veurink
Funded by a grant from the National Science Foundation. Any opinions, findings, conclusions or recommendations expressed
are those of the authors and do not necessarily reflect the views of the National Science Foundation.
Rotation of Objects about 1 Axis
Rotations
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Right Hand Rule
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Arrow Coding
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Single Rotation
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Multiple Rotations
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Equivalent Rotations
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Computer Module
Object Transformations:
Rotation
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A rotation is a turning of an object about a straight line
known as the axis of rotation.
Direction of Rotation
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A rotation about an axis can be either
positive (counterclockwise) or negative
(clockwise)
Right Hand Rule
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If you place the thumb of your right hand
down the axis of rotation, your fingers will
curl in the direction of the rotation
Arrow Coding
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Object Rotations can be designated by arrow
coding
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An arrow to the right is a positive rotation
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An arrow to the left is a negative rotation
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The axis for the rotation is designated at the right
end of the arrow
X
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The increment for the rotation is always 90o
For each of the following slides,
try to visualize the rotation
Y
Object Transformations:
Rotation
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For multiple rotations about the same axis, use an
arrow for each rotation of 90°.
X
X
Positive 180° rotation about the x-axis
Y
Y
Y
Negative 270° rotation about the y-axis
Object Transformations:
Rotation
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Sometimes one set of rotations can be replaced by a
simpler set.
Y
Y
Y
is equivalent to
Y
Demonstration
Y
Z
Y
X
In-Class Exercise
When finished with this exercise, begin working
through the Rotations about a Single Axis exercises
on the course software
Y
X
Z
Z
Y
Z
X
X
Rotation of Objects about a Single
Axis Homework …
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Complete the following pages in Module 7
rot1–
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1-2
5-6
9 - 10
13 - 14
16 - 18