Ch 9 Rotation Rotational Variables Rigid Body: definition and motion Kinetic energy of rotation and...

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Ch 9 Rotation • Rotational Variables • Rigid Body: definition and motion • Kinetic energy of rotation and moment of inertia • Parallel Axis Theorem • Newton’s 2 nd Law for Rotation • (Rolling Motion)

Transcript of Ch 9 Rotation Rotational Variables Rigid Body: definition and motion Kinetic energy of rotation and...

Page 1: Ch 9 Rotation Rotational Variables Rigid Body: definition and motion Kinetic energy of rotation and moment of inertia Parallel Axis Theorem Newton’s 2.

Ch 9 Rotation

• Rotational Variables• Rigid Body: definition and motion• Kinetic energy of rotation and moment of inertia• Parallel Axis Theorem• Newton’s 2nd Law for Rotation• (Rolling Motion)

Page 2: Ch 9 Rotation Rotational Variables Rigid Body: definition and motion Kinetic energy of rotation and moment of inertia Parallel Axis Theorem Newton’s 2.

Ch 9 Rotation Rotational Variables

Page 3: Ch 9 Rotation Rotational Variables Rigid Body: definition and motion Kinetic energy of rotation and moment of inertia Parallel Axis Theorem Newton’s 2.

Ch 9 Rotation Rotational Variables

Page 4: Ch 9 Rotation Rotational Variables Rigid Body: definition and motion Kinetic energy of rotation and moment of inertia Parallel Axis Theorem Newton’s 2.

Ch 9 Rotation Rotational Variables

Page 5: Ch 9 Rotation Rotational Variables Rigid Body: definition and motion Kinetic energy of rotation and moment of inertia Parallel Axis Theorem Newton’s 2.

Ch 9 Rotation Rigid Body: Definition and Motion

Page 6: Ch 9 Rotation Rotational Variables Rigid Body: definition and motion Kinetic energy of rotation and moment of inertia Parallel Axis Theorem Newton’s 2.

Ch 9 Rotation Rigid Body: Definition and Motion

Page 7: Ch 9 Rotation Rotational Variables Rigid Body: definition and motion Kinetic energy of rotation and moment of inertia Parallel Axis Theorem Newton’s 2.

Ch 9 Rotation Rigid Body: Definition and Motion

Page 8: Ch 9 Rotation Rotational Variables Rigid Body: definition and motion Kinetic energy of rotation and moment of inertia Parallel Axis Theorem Newton’s 2.

Ch 9 Rotation Kinetic Energy of Rotation and Moment of Inertia I

Page 9: Ch 9 Rotation Rotational Variables Rigid Body: definition and motion Kinetic energy of rotation and moment of inertia Parallel Axis Theorem Newton’s 2.

Ch 9 Rotation Kinetic Energy of Rotation and Moment of Inertia I

Page 10: Ch 9 Rotation Rotational Variables Rigid Body: definition and motion Kinetic energy of rotation and moment of inertia Parallel Axis Theorem Newton’s 2.

Ch 9 Rotation Kinetic Energy of Rotation and Moment of Inertia I

Page 11: Ch 9 Rotation Rotational Variables Rigid Body: definition and motion Kinetic energy of rotation and moment of inertia Parallel Axis Theorem Newton’s 2.

Ch 9 Rotation Kinetic Energy of Rotation and Moment of Inertia I

Page 12: Ch 9 Rotation Rotational Variables Rigid Body: definition and motion Kinetic energy of rotation and moment of inertia Parallel Axis Theorem Newton’s 2.

Ch 9 Rotation Kinetic Energy of Rotation and Moment of Inertia I

Page 13: Ch 9 Rotation Rotational Variables Rigid Body: definition and motion Kinetic energy of rotation and moment of inertia Parallel Axis Theorem Newton’s 2.

Ch 9 Rotation Parallel Axis Theorem

Page 14: Ch 9 Rotation Rotational Variables Rigid Body: definition and motion Kinetic energy of rotation and moment of inertia Parallel Axis Theorem Newton’s 2.

Ch 9 Rotation Parallel Axis Theorem

Page 15: Ch 9 Rotation Rotational Variables Rigid Body: definition and motion Kinetic energy of rotation and moment of inertia Parallel Axis Theorem Newton’s 2.

Ch 9 Rotation Newton's 2nd Law for rotation of Rigid Body

Page 16: Ch 9 Rotation Rotational Variables Rigid Body: definition and motion Kinetic energy of rotation and moment of inertia Parallel Axis Theorem Newton’s 2.

Ch 9 Rotation Newton's 2nd Law for rotation of Rigid Body

Page 17: Ch 9 Rotation Rotational Variables Rigid Body: definition and motion Kinetic energy of rotation and moment of inertia Parallel Axis Theorem Newton’s 2.

Ch 9 Rotation Newton's 2nd Law for rotation of Rigid Body

Page 18: Ch 9 Rotation Rotational Variables Rigid Body: definition and motion Kinetic energy of rotation and moment of inertia Parallel Axis Theorem Newton’s 2.

Ch 9 Rotation Newton's 2nd Law for rotation of Rigid Body

Page 19: Ch 9 Rotation Rotational Variables Rigid Body: definition and motion Kinetic energy of rotation and moment of inertia Parallel Axis Theorem Newton’s 2.

Ch 9 Rotation Newton's 2nd Law for rotation of Rigid Body

Page 20: Ch 9 Rotation Rotational Variables Rigid Body: definition and motion Kinetic energy of rotation and moment of inertia Parallel Axis Theorem Newton’s 2.

Ch 9 Rotation Newton's 2nd Law for rotation of Rigid Body

Page 21: Ch 9 Rotation Rotational Variables Rigid Body: definition and motion Kinetic energy of rotation and moment of inertia Parallel Axis Theorem Newton’s 2.

Ch 9 Rotation Rolling Motion

Optional: see book section 9-8 for material on rolling motion


Rotation and Newton’s Universal Law of Gravitation Chapter 7.

Rotation and Newton’s Universal Law of Gravitation Chapter 7.

Movements of the Earth: Gravity, Inertia, Rotation, Revolution.

Movements of the Earth: Gravity, Inertia, Rotation, Revolution.

Newton’s 1 st Law Law of Inertia. Question? What is Newton’s first law of motion?

Newton’s 1 st Law Law of Inertia. Question? What is Newton’s first law of motion?

Rotational Dynamics IC angle of rotation (rads) angular velocity (rad/s) angular acceleration (rad/s 2 ) torque (N m) moment of inertia (kg m 2 ) Newton’s.

Rotational Dynamics IC angle of rotation (rads) angular velocity (rad/s) angular acceleration (rad/s 2 ) torque (N m) moment of inertia (kg m 2 ) Newton’s.

Chapter 3 Forces. Section 1 Newton’s Second Law Newton’s 3 Laws 1.Law of Inertia 2.Newton’s second law of motion connects force, mass, and acceleration.

Chapter 3 Forces. Section 1 Newton’s Second Law Newton’s 3 Laws 1.Law of Inertia 2.Newton’s second law of motion connects force, mass, and acceleration.

Second Law of Rotation Newton’s First Law of Rotation Newton’s Second Law of Rotation Rotational Inertia / Moment of Inertia Rotational Inertia of extended.

Second Law of Rotation Newton’s First Law of Rotation Newton’s Second Law of Rotation Rotational Inertia / Moment of Inertia Rotational Inertia of extended.

Chapter 4 Newton’s First Law of Motion The Law of Inertia.

Chapter 4 Newton’s First Law of Motion The Law of Inertia.

Newton’s 3 Laws of Motion Unit 2C. Forces cause changes in motion. Newton’s 1 st Law (Inertia )

Newton’s 3 Laws of Motion Unit 2C. Forces cause changes in motion. Newton’s 1 st Law (Inertia )

MEchanics of rotation and moment of inertia

MEchanics of rotation and moment of inertia

NEWTON’S LAWS. Newton’s First Law An example Also called “Newton’s Law of Inertia”

NEWTON’S LAWS. Newton’s First Law An example Also called “Newton’s Law of Inertia”

9 Rotation Rotational Kinematics: Angular Velocity and Angular Acceleration Rotational Kinetic Energy Calculating the Moment of Inertia Newton’s Second.

9 Rotation Rotational Kinematics: Angular Velocity and Angular Acceleration Rotational Kinetic Energy Calculating the Moment of Inertia Newton’s Second.

Chapter 4 Newton’s First Law: The Law of Inertia.

Chapter 4 Newton’s First Law: The Law of Inertia.

Newton’s Laws of Motion Newton’s 1 st Law of Motion (law of inertia)

Newton’s Laws of Motion Newton’s 1 st Law of Motion (law of inertia)

Chapter 14, Lesson 1 Newton’s First Law – The Law of Inertia force inertia friction position speed Newton’s First Law of Motion velocity acceleration incline.

Chapter 14, Lesson 1 Newton’s First Law – The Law of Inertia force inertia friction position speed Newton’s First Law of Motion velocity acceleration incline.

Newton’s Second Law (Lab). Inertia & Mass Inertia The tendency of an object to maintain its state of rest or motion. MASS: A measure of the inertia.

Newton’s Second Law (Lab). Inertia & Mass Inertia The tendency of an object to maintain its state of rest or motion. MASS: A measure of the inertia.

NEXT Chapter 3 Newton’s Law Newton’s Laws Newton’s First Law Law of Inertia Newton’s Second Law F = ma Newton’s Third Law Action Reaction.

NEXT Chapter 3 Newton’s Law Newton’s Laws Newton’s First Law Law of Inertia Newton’s Second Law F = ma Newton’s Third Law Action Reaction.

Inertia and Newton’s 1 st Law of Motion Chapter 2.2 + 2.5.

Inertia and Newton’s 1 st Law of Motion Chapter 2.2 + 2.5.

Newton’s First and Second Laws of Motion, Inertia, Mass, Volume, Weight, centripetal force and rotational inertia. Stations 1-7.

Newton’s First and Second Laws of Motion, Inertia, Mass, Volume, Weight, centripetal force and rotational inertia. Stations 1-7.

© 2010 Pearson Education, Inc. Chapter 2: NEWTON’S FIRST LAW OF MOTION — INERTIA.

© 2010 Pearson Education, Inc. Chapter 2: NEWTON’S FIRST LAW OF MOTION — INERTIA.

4 Newton’s First Law of Motion—Inertia Forces cause changes in motion.

4 Newton’s First Law of Motion—Inertia Forces cause changes in motion.