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 0 answersPost by katie kim on July 23, 2015What does alpha represent when you used it as an acceleration for the circle? 0 answersPost by aditya subedi on November 12, 2012THANK YOU SOOO MUCH PROFESSOR 0 answersPost by Rudy Molina on November 12, 2011Can you please put more examples on all your subjects. Two or three examples aren't enough. We would all like ten to twenty examples.

### Rotation of a Rigid Body About a Fixed Axis

• When a particle rotates in a circle, its linear speed is equal to the product of the angular speed and the radius.
• For a rotating rigid body, at any given instant, every part of the body rotates with the same angular speed, but different parts may have different linear speeds.
• For constant angular acceleration, we may write simple equations that connect the angular displacement, angular velocity, angular acceleration, and time.
• The kinetic energy of a rotating rigid body is given by Iw2/2, where I is the moment of inertia of the rigid body, and w is its angular velocity.
• The moment of inertia of a rigid body depends on its mass and shape. For highly symmetric objects such as rods, rings, disks, cylinders, and spheres, simple formulas for the moment of inertia may be easily obtained.

### Rotation of a Rigid Body About a Fixed Axis

Lecture Slides are screen-captured images of important points in the lecture. Students can download and print out these lecture slide images to do practice problems as well as take notes while watching the lecture.

• Intro 0:00
• Particle in Circular Motion 0:11
• Specify a Position of a Particle
• Angular Displacement
• Rotation of a Rigid Body 15:36
• Example: Rotating Disc
• Disk at 5 Revolution/Sec
• Different Points on a Disk Have Different Speeds
• Angular Velocity
• Constant Angular Acceleration: Kinematics 31:11
• Rotating Disc
• Object Moving Along x-Axis (Linear Case)
• If Alpha= Constant
• Rotational Kinetic Energy 42:11
• Rod in X-Y Plane, Fixed at Center
• Kinetic Energy
• Moment of Inertia
• Moment of Inertia for Certain Shapes 54:06
• Rod at Center
• Ring
• Disc
• Cylinder
• Sphere
• Extra Example 1: Rotating Wheel
• Extra Example 2: Two Spheres Attached to Rotating Rod