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AXIS OF ROTATION

Axis Of Rotation

Definition Of Axis Of Rotation

Axis of Rotation is a line about which a three-dimensional object is rotated in space.

More about Axis of Rotation

Axis of rotation of an object can be within the body or outside the body.

Examples of Axis of Rotation

example of  Axis of Rotation

The blue line in the above figure is the axis of rotation of the sphere.

Video Examples: Rotation of Axes: Part A

Solved Example on Axis of Rotation

Ques: Which of the following solid is formed when the given triangle is rotated about X-axis?

example of  Axis of Rotation

Choices:

A. Figure 1
B. Figure 2
C. Figure 3
D. Figure 4
Correct Answer: A

Solution:

Step 1: When a triangle is rotated about X-axis, it forms a cone with its axis of symmetry as the same X-axis.
Step 2: So, Figure 1 is formed when the given triangle is rotated along X-axis.

Quick Summary

  • The axis of rotation is a line.
  • Objects rotate around this line.
  • The axis can be inside or outside the object.
\[ ω = dĪø/dt \]

šŸŽ Teacher Insights

Use physical demonstrations with objects to illustrate the concept of the axis of rotation. Emphasize the difference between rotation around an internal axis and rotation around an external axis.

šŸŽ“ Prerequisites

  • Basic Geometry
  • Understanding of Coordinate Systems
  • Concept of Rotation

Check Your Knowledge

Q1: Which of the following describes the axis of rotation?

Q2: When a triangle is rotated about the X-axis, which solid is formed?

Frequently Asked Questions

Q: Can the axis of rotation change during motion?
A: Yes, in complex motions, the axis of rotation can change over time.

Q: Is the axis of rotation always fixed?
A: No, the axis of rotation can be fixed or changing depending on the situation.

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