Physics Formulas. The Components of a Vector Can resolve vector into perpendicular components using a two-dimensional coordinate system:

Slides:



Advertisements
Similar presentations
Angular Quantities Correspondence between linear and rotational quantities:
Advertisements

R2-1 Physics I Review 2 Review Notes Exam 2. R2-2 Work.
Angular Momentum The vector angular momentum of the point mass m about the point P is given by: The position vector of the mass m relative to the point.
Rotational Motion Chapter Opener. Caption: You too can experience rapid rotation—if your stomach can take the high angular velocity and centripetal acceleration.
Chapter 10 Rotational Motion
Rotational Equilibrium and Rotational Dynamics
Physics: Principles with Applications, 6th edition
Dynamics of Rotational Motion
© 2005 Pearson Prentice Hall This work is protected by United States copyright laws and is provided solely for the use of instructors in teaching their.
Chapter 10 Rotational Motion and Torque Angular Position, Velocity and Acceleration For a rigid rotating object a point P will rotate in a circle.
Chapter 10: Rotation. Rotational Variables Radian Measure Angular Displacement Angular Velocity Angular Acceleration.
Phy 211: General Physics I Chapter 10: Rotation Lecture Notes.
Chapter 8: Rotational Kinematics Lecture Notes
Rotational Kinematics
Chapter 10 Rotational Motion
1/18/ L IAP 2007  Last Lecture  Pendulums and Kinetic Energy of rotation  Today  Energy and Momentum of rotation  Important Concepts  Equations.
Semester Physics 1901 (Advanced) A/Prof Geraint F. Lewis Rm 560, A29
Physics 111: Elementary Mechanics – Lecture 9 Carsten Denker NJIT Physics Department Center for Solar–Terrestrial Research.
Chapter 8 Rotational Equilibrium and Rotational Dynamics.
Rotational Motion Chap NEW CONCEPT ‘Rotational force’: Torque Torque is the “twisting force” that causes rotational motion. It is equal to the.
Work Let us examine the work done by a torque applied to a system. This is a small amount of the total work done by a torque to move an object a small.
© 2007 Pearson Prentice Hall This work is protected by United States copyright laws and is provided solely for the use of instructors in teaching their.
College of Physics Science & Technology YANGZHOU UNIVERSITYCHINA Chapter 11ROTATION 11.1 The Motion of Rigid Bodies Rigid bodies A rigid body is.
Give the expression for the velocity of an object rolling down an incline without slipping in terms of h (height), M(mass), g, I (Moment of inertia) and.
Chapter 7 Rotational Motion & Law of Gravity
Chapters 10, 11 Rotation and angular momentum. Rotation of a rigid body We consider rotational motion of a rigid body about a fixed axis Rigid body rotates.
Chapter 10 Rotational Kinematics and Energy. Units of Chapter 10 Angular Position, Velocity, and Acceleration Rotational Kinematics Connections Between.
Rotational Kinematics and Energy
Chapter 10 Rotation of a Rigid Object about a Fixed Axis.
Rotation Rotational Variables Angular Vectors Linear and Angular Variables Rotational Kinetic Energy Rotational Inertia Parallel Axis Theorem Newton’s.
Chapter 9: Rotational Dynamics
Chapter 10 - Rotation Definitions: –Angular Displacement –Angular Speed and Velocity –Angular Acceleration –Relation to linear quantities Rolling Motion.
Chapter 8 Rotational Motion.
Chapter 8 Rotational Motion.
Tangential and Centripetal Accelerations
Rotational Kinematics Chapter 8. Expectations After Chapter 8, students will:  understand and apply the rotational versions of the kinematic equations.
Rotational Motion Comparison of Angular Motion with One-dimensional Horizontal Motion Distance traveled is replaced by the angle traveled around the circle.
Circular Motion Topics Angular Measure Angular Speed and Velocity Uniform Circular Motion and Centripetal Acceleration Angular Acceleration.
Chapter 8: Rotational Kinematics Essential Concepts and Summary.
4.1 The Position, Velocity, and Acceleration Vectors 4.1 Displacement vector 4.2 Average velocity 4.3 Instantaneous velocity 4.4 Average acceleration 4.5.
How do you relate the angular acceleration of the object to the linear acceleration of a particular point? There are actually two perpendicular components.
© 2005 Pearson Prentice Hall This work is protected by United States copyright laws and is provided solely for the use of instructors in teaching their.
Chapter 8 Rotational Motion.
Rotational kinematics and energetics
Rotational Kinetic Energy An object rotating about some axis with an angular speed, , has rotational kinetic energy even though it may not have.
© 2005 Pearson Prentice Hall This work is protected by United States copyright laws and is provided solely for the use of instructors in teaching their.
Angular Motion Chapter 10. Figure 10-1 Angular Position.
1 Work in Rotational Motion Find the work done by a force on the object as it rotates through an infinitesimal distance ds = r d  The radial component.
Bellringer: What would be the net acceleration of a 15 g toy car down a 30 degree incline if the acceleration due to friction is 1.8 m/s 2 ? Include a.
© 2014 Pearson Education, Inc. This work is protected by United States copyright laws and is provided solely for the use of instructors in teaching their.
Rotational Motion – Dynamics AP Physics. Rotational and Translational Equalities Rotational Objects roll Inertia TORQUE Angular Acceleration Rotational.
Rotational Motion AP Physics C. Definitions and Formulas.
-Angular and Linear Quantities -Rotational Kinetic Energy -Moment of Inertia AP Physics C Mrs. Coyle.
Physics 111 Lecture Summaries (Serway 8 th Edition): Lecture 1Chapter 1&3Measurement & Vectors Lecture 2 Chapter 2Motion in 1 Dimension (Kinematics) Lecture.
Chapter 10 Lecture 18: Rotation of a Rigid Object about a Fixed Axis: II.
Copyright © 2010 Pearson Education, Inc. Lecture Outline Chapter 10 Physics, 4 th Edition James S. Walker.
Motion in Two and Three Dimensions Chapter 4. Position and Displacement A position vector locates a particle in space o Extends from a reference point.
© 2005 Pearson Prentice Hall This work is protected by United States copyright laws and is provided solely for the use of instructors in teaching their.
Rotational Motion.
Chapter 8 Rotational Motion
Lecture Outline Chapter 10 Physics, 4th Edition James S. Walker
Chapter 8 Rotational Motion
Rotational Kinematics and Energy
Physics: Principles with Applications, 6th edition
8-1 Angular Quantities In purely rotational motion, all points on the object move in circles around the axis of rotation (“O”). The radius of the circle.
Chapter 8 Rotational Motion.
Lecture Outline Chapter 10 Physics, 4th Edition James S. Walker
Physics: Principles with Applications, 6th edition
Lecture Outline Chapter 10 Physics, 4th Edition James S. Walker
Chapter 8 Rotational Motion
Presentation transcript:

Physics Formulas

The Components of a Vector Can resolve vector into perpendicular components using a two-dimensional coordinate system:

Constant Acceleration Equations of Motion

4-2 Projectile Motion: Basic Equations These, then, are the basic equations of projectile motion:

4-2 Projectile Motion: Basic Equations These, then, are the basic equations of projectile motion:

4-4 General Launch Angle In general, v 0x = v 0 cos θ and v 0y = v 0 sin θ This gives the equations of motion:

4-4 General Launch Angle In general, v 0x = v 0 cos θ and v 0y = v 0 sin θ This gives the equations of motion:

4-4 General Launch Angle In general, v 0x = v 0 cos θ and v 0y = v 0 sin θ This gives the equations of motion:

Kinetic Friction Kinetic friction: the friction experienced by surfaces sliding against one another

10-1 Angular Position, Velocity, and Acceleration

Summary of Chapter 10 Linear and angular equations of motion: Tangential speed: Centripetal acceleration: Tangential acceleration:

Summary of Chapter 10 Rolling motion: Kinetic energy of rotation: Moment of inertia: Kinetic energy of an object rolling without slipping: When solving problems involving conservation of energy, both the rotational and linear kinetic energy must be taken into account.

Lever Arm Always the shortest distance from the rotation axis (axle) to the line of action (applied force).”