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Chapter 10

Chapter 10

Chapter 10. Rotation. Engineering Physics: Lecture 10 Topics. Rotational Kinematics Analogy with one-dimensional kinematics Kinetic energy of a rotating system Moment of inertia Discrete particles Continuous solid objects Parallel axis theorem. Rotation Introduction.

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???? ( Rotational Motion)

???? ( Rotational Motion)

Chapter 10. ???? ( Rotational Motion). Rotation. 10.2 The Rotational Variables. A rigid body is a body that can rotate with all its parts locked together and without any change in its shape. A fixed axis means that the rotation occurs about an axis that does not move.

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??????. CH9 ????? ???? CH10 ?? ???????????? ??????? ??????? ???? ???? ?? ??????????. 9.11: Collisions in 2-D ( ???? ). If elastic,. Also,. Billiard ball collision in 2-D.

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Rotation of a Rigid Body (Chapter 10)

Rotation of a Rigid Body (Chapter 10)

Rotation of a Rigid Body (Chapter 10). Each particle travels in a circle. The speeds of the particles differ, but each one completes a full revolution in the same time. We describe the rotational motion using angle , angular velocity , and angular acceleration:.

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Roller Coasters

Roller Coasters

Roller Coasters. Uniform or Nonuniform. Centripetal acceleration is constant for uniform circular motion. It changes for nonuniform circular motion. The magnitude increases or decreases. There is a tangential acceleration. Net vector is not antiparallel to radius. Angular Acceleration.

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Angular Motion

Angular Motion

Angular Motion. The radian was defined for circular motion. There are 2 p radians in a complete circle. The distance around a circle is s = r q. Angle vs. Position. Dq. q. r. The angular displacement is Dq. Angular Velocity. Velocity has an angular equivalent. Linear velocity ( v )

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Rotational Energy

Rotational Energy

Rotational Energy. Real objects have mass at points other than the center of mass. Each point in an object can be measured from an origin at the center of mass. If the positions are fixed compared to the center of mass it is a rigid body. Rigid Body. r i.

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