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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.

An introduction to Rotational Equilibrium with a review of Translational Equilibrium and demonstrations. Wait there’s more … Static Equilibrium! Want Lecture Notes? This is an AP Physics 1 Topic. Content Times: 0:07 Reviewing Translational Equilibrium 1:21 Visualizing Translational Equilibrium 2:07 Rotational Equilibrium Introduction 3:09 Visualizing Rotational Equilibrium 4:22 Static Equilibrium Next Video: Introductory Rotational Equilibrium Problem Multilingual? Please help translate Flipping Physics videos! Previous Video: (2 of 2) Measuring the Rotational Inertia of a Bike Wheel Please support me on Patreon! Thank you to Scott Carter, Christopher Becke, and Jonathan Everett for being my Quality Control Team for this video.

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1) Calculating if our answer makes sense. 2) Why can’t we sum the torques on everything? 3) Finding the force of tension. Want Lecture Notes? This is an AP Physics 1 Topic. Content Times: 0:01 Reviewing from last time 1:08 Does it make sense? 2:41 Calculating the fraction 3:41 Sum the torques on everything? 6:07 Solving for force of tension 8:24 Testing our answer Next Video: Rotational Equilibrium Introduction (and Static Equilibrium too!!) Multilingual? Please help translate Flipping Physics videos! Previous Video: (1 of 2) Measuring the Rotational Inertia of a Bike Wheel Please support me on Patreon! Thank you to Scott Carter, Christopher Becke, and Jonathan Everett for being my Quality Control Team for this video.

That’s right, we actually measure the rotational inertia of a bicycle wheel. How cool is that? Want Lecture Notes? This is an AP Physics 1 Topic. Content Times: 0:10 Basic setup 0:44 Free Body Diagram 1:30 Finding net torque 3:10 Finding force of tension 4:51 Linear and angular acceleration 5:42 Uniformly angularly accelerated motion 7:00 What do we need to know? 7:35 Solving the problem Next Video: (2 of 2) Measuring the Rotational Inertia of a Bike Wheel Multilingual? Please help translate Flipping Physics videos! Previous Video: Introductory Rotational Form of Newton's Second Law Problem Please support me on Patreon! Thank you to Scott Carter, Christopher Becke, Jonathan Everett, and Faiaz Rahman for being my Quality Control Team for this video.

A basic rotational form of Newton’s Second Law problem with only one force. Want Lecture Notes? This is an AP Physics 1 Topic. Content Times: 0:08 The problem 1:17 Free Body Diagram 1:37 Summing the torques 3:44 The direction Next Video: (1 of 2) Measuring the Rotational Inertia of a Bike Wheel Multilingual? Please help translate Flipping Physics videos! Previous Video: Introductory Rotational Form of Newton's Second Law Problem Please support me on Patreon! Thank you to Scott Carter, Christopher Becke, Jonathan Everett, and Faiaz Rahman for being my Quality Control Team for this video.

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 rotational inertia
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Thank you to Arbor Scientific for letting me borrow their Rotational Inertia Demonstrator to … uh … demonstrate rotational inertia. Want Lecture Notes? This is an AP Physics 1 Topic. Content Times: 0:22 The Rotational Inertia Demonstrator 0:58 Rotational Inertia 1:40 Demonstration #1 2:00 Demonstration #2 2:55 Why always balanced? 4:30 Demonstration #3 5:27 Demonstration #4 Next Video: Introductory Rotational Form of Newton's Second Law Problem Want a Rotational Inertia Demonstrator? Multilingual? Please help translate Flipping Physics videos! Previous Video: Rotational Form of Newton's Second Law  Introduction Please support me on Patreon! Thank you to Scott Carter, Christopher Becke, Jonathan Everett, and Faiaz Rahman for being my Quality Control Team for this video.

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The moment of inertia of a system of particles equation is used to estimate six different moments of inertia of rigid objects with constant density. Want Lecture Notes? This is an AP Physics 1 topic. Content Times: 0:10 Visualizing the examples 1:09 How we estimate 2:16 Thin rod  center of mass 2:57 Thin rod  one end 4:00 Thin, hollow cylinder  long cylindrical axis 6:32 Solid cylinder  long cylindrical axis 8:23 Solid sphere  center of mass 9:11 Thin, hollow sphere  center of mass 10:31 Important review points Next Video: Torque Introduction Multilingual? Please help translate Flipping Physics videos! Previous Video: Eggs in a Carton Moment of Inertia Problem Please support me on Patreon! Thank you to Christopher Becke, Andres Ramos, and Aarti Sangwan for being my Quality Control Team for this video.

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Two equal mass eggs are placed at either end in an egg carton of negligible mass. The egg carton is initially rotated about its middle. If the egg carton is now rotated about one end, what is the final moment of inertia of the eggs relative to their initial moment of inertia? Want Lecture Notes? This is an AP Physics 1 topic. Content Times: 0:07 Translating the problem 0:47 Initial moment of inertia 1:52 Final moment of inertia 2:46 This is a rough estimate Next Video: Moments of Inertia of Rigid Objects with Shape Multilingual? Please help translate Flipping Physics videos! Previous Video: Introductory Moment of Inertia and Rotational Kinetic Energy Problem Please support me on Patreon! Thank you to Christopher Becke for being my Quality Control Team for this video.

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Three 20.0gram masses are 9.4 cm from an axis of rotation and rotating at 152 revolutions per minute. What is the moment of inertia of the threeobject system? The strings holding the masses are of negligible mass. Rotational Kinetic Energy is also solved for and correct units are determined. Want Lecture Notes? This is an AP Physics 1 topic. Content Times: 0:02 Demonstration 0:14 Translating the problem 0:57 Solving the problem 2:40 Moment of Inertia and angular velocity 3:35 Rotational Kinetic Energy 4:04 Fixing the units 6:27 Solving for joules 7:17 Comparing to Gravitational Potential Energy Next Video: Eggs in a Carton Moment of Inertia Problem Multilingual? Please help translate Flipping Physics videos! Previous Video: Moment of Inertia Introduction and Rotational Kinetic Energy Derivation Please support me on Patreon! Thank you to Scott Carter, Jonathan Everett, and Christopher Becke for being my Quality Control Team for this video.

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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.

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 egg carton
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The concept of moment of inertia is demonstrated by rolling a series of cylinders down an inclined plane. Visit physicsworld.com for more videos, webinars and podcasts. http://physicsworld.com/cws/channel/m...

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Name: Walter Lewin Demonstrates Moment of Inertia Category: Rotation Date Added: 20171205 Submitter: FizziksGuy The concept of moment of inertia is demonstrated by rolling a series of cylinders down an inclined plane. Visit physicsworld.com for more videos, webinars and podcasts. http://physicsworld.com/cws/channel/m... Walter Lewin Demonstrates Moment of Inertia

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Name: AP Physics C: Equations to Memorize (Mechanics) Category: Vector Math Date Added: 20170430 Submitter: Flipping Physics Calculus based review of equations I suggest you memorize for the AP Physics C: Mechanics Exam. Please realize I abhor memorization, however, there are a few equations which I do recommend you memorize. I also list equations NOT to memorize and ones which I suggest you know how to derive. Also a note about Moments of Inertia and the AP Exam. For the calculus based AP Physics C mechanics exam. Want Lecture Notes? Content Times: 0:22 Equations to Memorize 2:06 Derivative as an Integral Example 6:52 Equations NOT to memorize 8:10 Equations to know how to derive 10:14 Moments of Inertia and the AP Exam Multilingual? Please help translate Flipping Physics videos! AP Physics C Review Website Previous Video: AP Physics C: Simple Harmonic Motion Review (Mechanics) Please support me on Patreon! Thank you to Aarti Sangwan, Sawdog, Romail Pervez Bhatti, and Lisa Greene for being my Quality Control team for this video. AP Physics C: Equations to Memorize (Mechanics)

Calculus based review of equations I suggest you memorize for the AP Physics C: Mechanics Exam. Please realize I abhor memorization, however, there are a few equations which I do recommend you memorize. I also list equations NOT to memorize and ones which I suggest you know how to derive. Also a note about Moments of Inertia and the AP Exam. For the calculus based AP Physics C mechanics exam. Want Lecture Notes? Content Times: 0:22 Equations to Memorize 2:06 Derivative as an Integral Example 6:52 Equations NOT to memorize 8:10 Equations to know how to derive 10:14 Moments of Inertia and the AP Exam Multilingual? Please help translate Flipping Physics videos! AP Physics C Review Website Previous Video: AP Physics C: Simple Harmonic Motion Review (Mechanics) Please support me on Patreon! Thank you to Aarti Sangwan, Sawdog, Romail Pervez Bhatti, and Lisa Greene for being my Quality Control team for this video.

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

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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.

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Calculus based review and comparison of the linear and rotational equations which are in the AP Physics C mechanics curriculum. Topics include: displacement, velocity, acceleration, uniformly accelerated motion, uniformly angularly accelerated motion, mass, momentum of inertia, kinetic energy, Newton’s second law, force, torque, power, and momentum. Want Lecture Notes? Content Times: 0:12 Displacement 038 Velocity 1:08 Acceleration 1:33 Uniformly Accelerated Motion 2:15 Uniformly Angularly Accelerated Motion 2:34 Mass 3:19 Kinetic Energy 3:44 Newton’s Second Law 4:18 Force and Torque 5:12 Power 5:45 Momentum Multilingual? Please help translate Flipping Physics videos! AP Physics C Review Website Next Video: AP Physics C: Universal Gravitation Review (Mechanics) Previous Video: AP Physics C: Rotational Dynamics Review  2 of 2 (Mechanics) Please support me on Patreon! Thank you to Sawdog for being my Quality Control individual for this video.

Name: AP Physics C: Rotational vs. Linear Review (Mechanics) Category: Rotational Motion Date Added: 20170428 Submitter: Flipping Physics Calculus based review and comparison of the linear and rotational equations which are in the AP Physics C mechanics curriculum. Topics include: displacement, velocity, acceleration, uniformly accelerated motion, uniformly angularly accelerated motion, mass, momentum of inertia, kinetic energy, Newton’s second law, force, torque, power, and momentum. Want Lecture Notes? Content Times: 0:12 Displacement 038 Velocity 1:08 Acceleration 1:33 Uniformly Accelerated Motion 2:15 Uniformly Angularly Accelerated Motion 2:34 Mass 3:19 Kinetic Energy 3:44 Newton’s Second Law 4:18 Force and Torque 5:12 Power 5:45 Momentum Multilingual? Please help translate Flipping Physics videos! AP Physics C Review Website Next Video: AP Physics C: Universal Gravitation Review (Mechanics) Previous Video: AP Physics C: Rotational Dynamics Review  2 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 vs. Linear Review (Mechanics)

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)

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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

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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

Review of the Rotational Dynamics topics covered in the AP Physics 1 curriculum. Want [url="http://www.flippingphysics.com/ap1rotationaldynamicsreview.html"]Lecture Notes[/url]? Content Times: 0:14 Torque 1:30 Moment Arm or Lever Arm 2:55 Net Torque 3:37 Moment of Inertia 4:29 Rotational Kinetic Energy 4:54 Rolling without slipping 6:31 Angular Momentum 7:06 Angular Impulse Multilingual? [url="http://www.flippingphysics.com/translate.html"]Please help translate Flipping Physics videos![/url] Next Video: [url="http://www.flippingphysics.com/ap1gravitationreview.html"]AP Physics 1: Universal Gravitation Review[/url] Previous Video: [url="http://www.flippingphysics.com/ap1rotationalkinematicsreview.html"]AP Physics 1: Rotational Kinematics Review[/url] [url="http://http//www.flippingphysics.com/give.html"]1Â¢/minute[/url]

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Objective: Moment of Inertia by Inquiry Description: Students experimentally determine the moment of inertia of six different objects (2 solid spheres, 2 solid discs, and 2 rings) by rolling them down a ramp. They then compare their experimentally determined values to the theoretical values which they calculate themselves. Equipment: 2 solid spheres 2 solid discs 2 rings (note that these items can be purchased as a group set through lab supply vendors, or you may create your own) stopwatch meter stick protractor string Procedure: Students develop their own procedures for this lab. Note that the students can take one of two paths to determining the moment of inertia of the rolling objects... both result in the same values if derived carefully, and each is a good reinforcement of key concepts students have been studying up to this point in the class.Free


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