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We use integrals to derive the #rotationalinertia of a uniform, long, thin rod. And we demonstrate our answer is correct using a Rotational Inertia Demonstrator. Want Lecture Notes? This is an AP Physics 😄 Mechanics Topic. Content Times: 0:15 Rotational Inertia 0:42 Linear Mass Density 1:51 About Center of Mass 3:02 About an End 4:27 Rotational Inertia Demonstrator (RID) 6:09 About Center of RID 7:03 Comparing our answers 7:43 Demonstrating our answer Next Video: 2 Masses on a Pulley  Torque Demonstration Multilingual? Please help translate Flipping Physics videos! Graphing the Rotational Inertia of an Irregular Shape Previous Video: How the Force of Tension on a Pulley Changes with Acceleration Please support me on Patreon! Thank you to Christopher Becke and Faiaz Rahman for being my Quality Control Team for this video.

The concept of kinetic energy applied to a stationary, rotating wheel is used to define Moment of Inertia and derive Rotational Kinetic Energy. Moment of Inertia is demonstrated. Want Lecture Notes? This is an AP Physics 1 topic. Content Times: 0:07 Kinetic Energy of rotation 2:24 Defining Moment of Inertia 3:00 Defining Rotational Kinetic Energy 4:29 “Rotational Mass” 5:44 Demonstration #1 6:45 Demonstration #2 Next Video: Introductory Moment of Inertia and Rotational Kinetic Energy Problem Multilingual? Please help translate Flipping Physics videos! Previous Video: Conical Pendulum Demonstration and Problem Please support me on Patreon! Thank you to Scott Carter, Kevin Kulka, Jonathan Everett, and Christopher Becke for being my Quality Control Team for this video.

 demonstration
 egg carton
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Deriving the velocity and acceleration equations for an object in simple harmonic motion. Uses calculus. Want Lecture Notes? This is an AP Physics 1 topic. Content Times: 0:01 Reviewing the position equation 2:08 Deriving the velocity equation 3:54 Deriving the acceleration equation Next Video: Simple Harmonic Motion  Graphs of Position, Velocity, and Acceleration Multilingual? Please help translate Flipping Physics videos! Previous Video: Simple Harmonic Motion  Position Equation Derivation Please support me on Patreon! Thank you to Scott Carter, Christopher Becke, and Sawdog for being my Quality Control Team for this video. Thank you to Youssef Nasr for transcribing the English subtitles of this video.

 chain rule
 derivative
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Deriving the position equation for an object in simple harmonic motion. Want Lecture Notes? This is an AP Physics 1 topic. Content Times: 0:01 Reviewing circular motion vs. simple harmonic motion 0:24 Defining x position 1:13 Using angular velocity 3:18 The position equation 3:31 Visualizing the position equation 5:16 The phase constant 6:49 Angular frequency Next Video: Simple Harmonic Motion  Velocity and Acceleration Equation Derivations Multilingual? Please help translate Flipping Physics videos! Previous Video: Comparing Simple Harmonic Motion to Circular Motion  Demonstration Please support me on Patreon! Thank you to Andres Ramos, Sawdog, Christopher Becke, Scott Carter, and Jonathan Everett for being my Quality Control Team for this video. Thank you to Youssef Nasr for transcribing the English subtitles of this video.

 angular frequency
 circular motion
 (and 9 more)

Calculus based review of Universal Gravitation including Newton’s Universal Law of Gravitation, solving for the acceleration due to gravity in a constant gravitational field, universal gravitational potential energy, graphing universal gravitational potential energy between an object and the Earth, three example problems (binding energy, escape velocity and orbital energy), and Kepler’s three laws. For the calculus based AP Physics C mechanics exam. Want Lecture Notes? At 6:01 this video addresses an error in the Universal Gravitational Potential Energy Graph from the video's previous iteration. Content Times: 0:10 Newton’s Universal Law of Gravitation 1:52 Solving for the acceleration due to gravity 2:02 Universal Gravitational Potential Energy 4:52 Graph of Universal Gravitational Potential Energy between an object and the Earth 6:01 Correcting the Universal Gravitational Potential Energy Graph 7:30 Binding Energy Example Problem 9:41 Escape Velocity Example Problem 11:19 Orbital Energy Example Problem 13:52 Kepler’s Three Laws 14:17 Kepler’s First Law 16:19 Kepler’s Second Law 16:42 Deriving Kepler’s Third Law Multilingual? Please help translate Flipping Physics videos! AP Physics C Review Website Next Video: AP Physics C: Simple Harmonic Motion Review (Mechanics) Previous Video: AP Physics C: Rotational vs. Linear Review (Mechanics) Please support me on Patreon! Thank you to Aarti Sangwan, Sawdog, and Frank Geshwind for being my Quality Control team for this video.

 universal gravitation
 newtons universal law of gravitation
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Calculus based review of moment of inertia for a system of particles and a rigid object with shape, the derivation of rotational kinetic energy, derivations of the following moments of inertia: Uniform Thin Hoop about is Cylindrical Axis, Uniform Rigid Rod about its Center of Mass and about one end, also the parallel axis theorem, torque, the rotational form of Newton’s Second Law, pulleys with mass and the force of tension, the Right Hand Rule for direction of torque, and rolling with and without slipping. For the calculus based AP Physics C mechanics exam. Want Lecture Notes? Content Times: 0:10 Moment of Inertia of a system of particles derivation 1:46 Rotational Kinetic Energy derivation 2:49 Moment of Inertia of a rigid object with shape derivation 3:52 Moment of Inertia of a Uniform Thin Hoop about its Cylindrical Axis derivation 5:31 Moment of Inertia of a Uniform Rigid Rod about its Center of Mass derivation 8:02 Moment of Inertia of a Uniform Rigid Rod about one end derivation 9:16 The Parallel Axis Theorem 11:29 Torque 12:21 Simple torque diagram 14:14 Rotational form of Newton’s Second Law 15:07 Pulleys with mass and the Force of Tension 15:33 The Right Hand Rule the for the direction of torque 16:56 Rolling without Slipping 17:40 Rolling with Slipping Multilingual? Please help translate Flipping Physics videos! AP Physics C Review Website Next Video: Review of Rotational Dynamics for AP Physics C: Mechanics  Part 2 of 2 Previous Video: AP Physics C: Rotational Kinematics Review (Mechanics) Please support me on Patreon! Thank you to Sawdog for being my Quality Control individual for this video.

 rolling without slipping
 moment of inertia

(and 20 more)
Tagged with:
 rolling without slipping
 moment of inertia
 system of particles
 objects with shape
 rigid
 rotational kinetic energy
 derivation
 uniform thin hoop
 rigid rod
 cylindrical axis
 center of mass
 end
 parallel axis theorem
 rotational
 torque
 form
 newtons second law
 pulley
 force of tension
 right hand rule
 torque direction
 rolling with slipping

Calculus based review of the cross product torque equation, how to do a unit vector cross product problem, rotational equilibrium, the rotational form of Newton’s second law, the angular momentum of a particle and of a rigid object with shape, the derivation of conservation of angular momentum, and a conservation of angular momentum example problem which reviews a lot of the pieces necessary to understand conservation of angular momentum. For the calculus based AP Physics C mechanics exam. Want Lecture Notes? Content Times: 0:15 The cross product torque equation 1:10 Unit vector cross product example problem 3:32 Rotational equilibrium definition 4:55 Rotational form of Newton’s second law 5:37 Angular momentum of a particle 7:08 Angular momentum of a rigid object with shape 7:49 Conservation of angular momentum derivation 8:57 Conservation of angular momentum example problem 10:57 Visualizing the problem 12:04 The conservation of angular momentum equation 12:54 Solving for the constant value of the variable y. 14:04 Substituting in known values 15:38 Does our variable answer make sense? Multilingual? Please help translate Flipping Physics videos! AP Physics C Review Website Next Video: AP Physics C: Rotational vs. Linear Review (Mechanics) Previous Video: AP Physics C: Rotational Dynamics Review  1 of 2 (Mechanics) Please support me on Patreon! Thank you to Sawdog for being my Quality Control individual for this video.

 derivation
 cross product
 (and 14 more)

Name: AP Physics C: Universal Gravitation Review (Mechanics) Category: Oscillations & Gravity Date Added: 20171222 Submitter: Flipping Physics Calculus based review of Universal Gravitation including Newton’s Universal Law of Gravitation, solving for the acceleration due to gravity in a constant gravitational field, universal gravitational potential energy, graphing universal gravitational potential energy between an object and the Earth, three example problems (binding energy, escape velocity and orbital energy), and Kepler’s three laws. For the calculus based AP Physics C mechanics exam. Want Lecture Notes? At 6:01 this video addresses an error in the Universal Gravitational Potential Energy Graph from the video's previous iteration. Content Times: 0:10 Newton’s Universal Law of Gravitation 1:52 Solving for the acceleration due to gravity 2:02 Universal Gravitational Potential Energy 4:52 Graph of Universal Gravitational Potential Energy between an object and the Earth 6:01 Correcting the Universal Gravitational Potential Energy Graph 7:30 Binding Energy Example Problem 9:41 Escape Velocity Example Problem 11:19 Orbital Energy Example Problem 13:52 Kepler’s Three Laws 14:17 Kepler’s First Law 16:19 Kepler’s Second Law 16:42 Deriving Kepler’s Third Law Multilingual? Please help translate Flipping Physics videos! AP Physics C Review Website Next Video: AP Physics C: Simple Harmonic Motion Review (Mechanics) Previous Video: AP Physics C: Rotational vs. Linear Review (Mechanics) Please support me on Patreon! Thank you to Aarti Sangwan, Sawdog, and Frank Geshwind for being my Quality Control team for this video. AP Physics C: Universal Gravitation Review (Mechanics)

 universal gravitation
 newtons universal law of gravitation
 (and 21 more)

Name: AP Physics C: Rotational Dynamics Review  2 of 2 (Mechanics) Category: Rotational Motion Date Added: 20170428 Submitter: Flipping Physics Calculus based review of the cross product torque equation, how to do a unit vector cross product problem, rotational equilibrium, the rotational form of Newton’s second law, the angular momentum of a particle and of a rigid object with shape, the derivation of conservation of angular momentum, and a conservation of angular momentum example problem which reviews a lot of the pieces necessary to understand conservation of angular momentum. For the calculus based AP Physics C mechanics exam. Want Lecture Notes? Content Times: 0:15 The cross product torque equation 1:10 Unit vector cross product example problem 3:32 Rotational equilibrium definition 4:55 Rotational form of Newton’s second law 5:37 Angular momentum of a particle 7:08 Angular momentum of a rigid object with shape 7:49 Conservation of angular momentum derivation 8:57 Conservation of angular momentum example problem 10:57 Visualizing the problem 12:04 The conservation of angular momentum equation 12:54 Solving for the constant value of the variable y. 14:04 Substituting in known values 15:38 Does our variable answer make sense? Multilingual? Please help translate Flipping Physics videos! AP Physics C Review Website Next Video: AP Physics C: Rotational vs. Linear Review (Mechanics) Previous Video: AP Physics C: Rotational Dynamics Review  1 of 2 (Mechanics) Please support me on Patreon! Thank you to Sawdog for being my Quality Control individual for this video. AP Physics C: Rotational Dynamics Review  2 of 2 (Mechanics)

 derivation
 cross product
 (and 14 more)

Name: AP Physics C: Rotational Dynamics Review  1 of 2 (Mechanics) Category: Rotational Motion Date Added: 20170428 Submitter: Flipping Physics Calculus based review of moment of inertia for a system of particles and a rigid object with shape, the derivation of rotational kinetic energy, derivations of the following moments of inertia: Uniform Thin Hoop about is Cylindrical Axis, Uniform Rigid Rod about its Center of Mass and about one end, also the parallel axis theorem, torque, the rotational form of Newton’s Second Law, pulleys with mass and the force of tension, the Right Hand Rule for direction of torque, and rolling with and without slipping. For the calculus based AP Physics C mechanics exam. Want Lecture Notes? Content Times: 0:10 Moment of Inertia of a system of particles derivation 1:46 Rotational Kinetic Energy derivation 2:49 Moment of Inertia of a rigid object with shape derivation 3:52 Moment of Inertia of a Uniform Thin Hoop about its Cylindrical Axis derivation 5:31 Moment of Inertia of a Uniform Rigid Rod about its Center of Mass derivation 8:02 Moment of Inertia of a Uniform Rigid Rod about one end derivation 9:16 The Parallel Axis Theorem 11:29 Torque 12:21 Simple torque diagram 14:14 Rotational form of Newton’s Second Law 15:07 Pulleys with mass and the Force of Tension 15:33 The Right Hand Rule the for the direction of torque 16:56 Rolling without Slipping 17:40 Rolling with Slipping Multilingual? Please help translate Flipping Physics videos! AP Physics C Review Website Next Video: Review of Rotational Dynamics for AP Physics C: Mechanics  Part 2 of 2 Previous Video: AP Physics C: Rotational Kinematics Review (Mechanics) Please support me on Patreon! Thank you to Sawdog for being my Quality Control individual for this video. AP Physics C: Rotational Dynamics Review  1 of 2 (Mechanics)
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 rolling without slipping
 moment of inertia

(and 20 more)
Tagged with:
 rolling without slipping
 moment of inertia
 system of particles
 objects with shape
 rigid
 rotational kinetic energy
 derivation
 uniform thin hoop
 rigid rod
 cylindrical axis
 center of mass
 end
 parallel axis theorem
 rotational
 torque
 form
 newtons second law
 pulley
 force of tension
 right hand rule
 torque direction
 rolling with slipping

Calculus based review of instantaneous and average angular velocity and acceleration, uniformly angularly accelerated motion, arc length, the derivation of tangential velocity, the derivation of tangential acceleration, uniform circular motion, centripetal acceleration, centripetal force, nonuniform circular motion, and the derivation of the relationship between angular velocity and period. For the calculus based AP Physics C mechanics exam. Want Lecture Notes? Content Times: 0:10 Instantaneous and Average Angular Velocity and Acceleration 1:14 Uniformly Angularly Accelerated Motion 2:16 Arc Length 3:22 Tangential Velocity Derivation 4:29 Tangential Acceleration Derivation 6:03 Uniform Circular Motion and Centripetal Acceleration 8:04 Centripetal Force 9:20 NonUniform Circular Motion 10:21 Angular Velocity and Period Relationship Derivation Multilingual? Please help translate Flipping Physics videos! AP Physics C Review Website Next Video: AP Physics C: Rotational Dynamics Review  1 of 2 (Mechanics) Previous Video: AP Physics C: Momentum, Impulse, Collisions and Center of Mass Review (Mechanics) Please support me on Patreon! Thank you to Natasha Trousdale, Aarti Sangwan, and Jen Larson for being my Quality Control team for this video.

 centripetal acceleration
 centripetal
 (and 13 more)

Name: AP Physics C: Rotational Kinematics Review (Mechanics) Category: Uniform Circular Motion Date Added: 20170409 Submitter: Flipping Physics Calculus based review of instantaneous and average angular velocity and acceleration, uniformly angularly accelerated motion, arc length, the derivation of tangential velocity, the derivation of tangential acceleration, uniform circular motion, centripetal acceleration, centripetal force, nonuniform circular motion, and the derivation of the relationship between angular velocity and period. For the calculus based AP Physics C mechanics exam. Want Lecture Notes? Content Times: 0:10 Instantaneous and Average Angular Velocity and Acceleration 1:14 Uniformly Angularly Accelerated Motion 2:16 Arc Length 3:22 Tangential Velocity Derivation 4:29 Tangential Acceleration Derivation 6:03 Uniform Circular Motion and Centripetal Acceleration 8:04 Centripetal Force 9:20 NonUniform Circular Motion 10:21 Angular Velocity and Period Relationship Derivation Multilingual? Please help translate Flipping Physics videos! AP Physics C Review Website Next Video: AP Physics C: Rotational Dynamics Review  1 of 2 (Mechanics) Previous Video: AP Physics C: Momentum, Impulse, Collisions and Center of Mass Review (Mechanics) Please support me on Patreon! Thank you to Natasha Trousdale, Aarti Sangwan, and Jen Larson for being my Quality Control team for this video. AP Physics C: Rotational Kinematics Review (Mechanics)

 centripetal acceleration
 centripetal
 (and 13 more)

Rearranging Newton’s Second Law to derive the force of impact equation. Want lecture notes? This is an AP Physics 1 Topic. Content Times: 0:09 Newton’s Second Law 1:57 The Force of Impact equation 2:33 The paradigm shift Next Video: Calculating the Force of Impact when Stepping off a Wall Multilingual? Please help translate Flipping Physics videos! Previous Video: You Can't Run From Momentum! (a momentum introduction) Please support me on Patreon!

Name: Force of Impact Equation Derivation Category: Momentum and Collisions Date Added: 20170112 Submitter: Flipping Physics Rearranging Newton’s Second Law to derive the force of impact equation. Want lecture notes? This is an AP Physics 1 Topic. Content Times: 0:09 Newton’s Second Law 1:57 The Force of Impact equation 2:33 The paradigm shift Next Video: Calculating the Force of Impact when Stepping off a Wall Multilingual? Please help translate Flipping Physics videos! Previous Video: You Can't Run From Momentum! (a momentum introduction) Please support me on Patreon! Force of Impact Equation Derivation

Use the integral and derivative to derive the WorkEnergy Theorem or what I prefer to call the Net WorkKinetic Energy Theorem. Want Lecture Notes? This is an AP Physics 1 topic. Content Times: 0:21 The integral definition of work 1:02 Net Work 1:53 Substituting in for acceleration 2:40 Dealing with dv/dt 3:26 Changing the limits 3:50 Substituting in velocity 4:32 Taking the integral 4:56 Kinetic Energy! 5:16 The Theorem 5:42 Other energy equations 6:46 When can we use this equation? Next Video: WorkEnergy Theorem Problem by Billy Multilingual? Please help translate Flipping Physics videos! Previous Video: Work due to Friction equals Change in Mechanical Energy Problem by Billy 1¢/minute

 derivation
 theorem

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Name: Deriving the WorkEnergy Theorem using Calculus Category: Work, Energy, Power Date Added: 20160226 Submitter: Flipping Physics Use the integral and derivative to derive the WorkEnergy Theorem or what I prefer to call the Net WorkKinetic Energy Theorem. Want Lecture Notes? This is an AP Physics 1 topic. Content Times: 0:21 The integral definition of work 1:02 Net Work 1:53 Substituting in for acceleration 2:40 Dealing with dv/dt 3:26 Changing the limits 3:50 Substituting in velocity 4:32 Taking the integral 4:56 Kinetic Energy! 5:16 The Theorem 5:42 Other energy equations 6:46 When can we use this equation? Next Video: WorkEnergy Theorem Problem by Billy Multilingual? Please help translate Flipping Physics videos! Previous Video: Work due to Friction equals Change in Mechanical Energy Problem by Billy 1¢/minute Deriving the WorkEnergy Theorem using Calculus

 net work
 kinetic energy

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