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Rotation of Objects about a Single Axis

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Presentation on theme: "Rotation of Objects about a Single Axis"— Presentation transcript:

1 Rotation of Objects about a Single Axis
Module 7

2 Session Topics Object Rotations Right Hand Rule Rotation Notation
Single Rotation Multiple Rotations Equivalent Rotations Computer Module

3 Object Rotation A rotation is a turning of an object about a straight line known as the axis of rotation. To visualize a rotation, imagine a door turning about its hinges. The axis of rotation is a line passing through the hinges. The portion of the object that lies along the axis of rotation before rotation remains on the axis of rotation through the rotation.

4 Direction of Rotation A rotation about an axis can be either positive (counterclockwise) or negative (clockwise)

5 Right Hand Rule If you place the thumb of your right hand down the axis of rotation, your fingers will curl in the direction of the rotation

6 Arrow Coding Object Rotations can be designated by arrow coding
A curved counterclockwise arrow is a positive rotation A curved clockwise arrow is a negative rotation The axis for the rotation is included within the notation The increment for the rotation is always 90o

7

8 For each of the following slides, try to visualize the rotation

9 Y

10 Y

11 Y

12

13

14

15 Multiple Rotations For multiple rotations about the same axis, use an arrow for each rotation of 90º. X Positive 180° rotation about the x-axis X Y Negative 270° rotation about the y-axis Y Y

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17 Equivalent Rotations Sometimes one set of rotations can be replaced by a simpler set. Y is equivalent to Y Y Y

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19 To visualize a rotation, think about moving the notation to the positive end of the axis—the arrow will show you the direction of the rotation

20 Course Software… Work through the Rotation of Objects About a Single Axis computer module

21 Rotation of Objects about a Single Axis Homework …
Complete the following pages in Module 7 rot1- 1 - 3 5 - 6 9 - 10


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