Table of contents
- 0. Math Review
- 1. Intro to Physics Units
- 2. 1D Motion / Kinematics
- Vectors, Scalars, & Displacement
- Average Velocity
- Intro to Acceleration
- Position-Time Graphs & Velocity
- Conceptual Problems with Position-Time Graphs
- Velocity-Time Graphs & Acceleration
- Calculating Displacement from Velocity-Time Graphs
- Conceptual Problems with Velocity-Time Graphs
- Calculating Change in Velocity from Acceleration-Time Graphs
- Graphing Position, Velocity, and Acceleration Graphs
- Kinematics Equations
- Vertical Motion and Free Fall
- Catch/Overtake Problems
- 3. Vectors
- Review of Vectors vs. Scalars
- Introduction to Vectors
- Adding Vectors Graphically
- Vector Composition & Decomposition
- Adding Vectors by Components
- Trig Review
- Unit Vectors
- Introduction to Dot Product (Scalar Product)
- Calculating Dot Product Using Components
- Intro to Cross Product (Vector Product)
- Calculating Cross Product Using Components
- 4. 2D Kinematics
- 5. Projectile Motion
- 6. Intro to Forces (Dynamics)
- 7. Friction, Inclines, Systems
- 8. Centripetal Forces & Gravitation
- Uniform Circular Motion
- Period and Frequency in Uniform Circular Motion
- Centripetal Forces
- Vertical Centripetal Forces
- Flat Curves
- Banked Curves
- Newton's Law of Gravity
- Gravitational Forces in 2D
- Acceleration Due to Gravity
- Satellite Motion: Intro
- Satellite Motion: Speed & Period
- Geosynchronous Orbits
- Overview of Kepler's Laws
- Kepler's First Law
- Kepler's Third Law
- Kepler's Third Law for Elliptical Orbits
- Gravitational Potential Energy
- Gravitational Potential Energy for Systems of Masses
- Escape Velocity
- Energy of Circular Orbits
- Energy of Elliptical Orbits
- Black Holes
- Gravitational Force Inside the Earth
- Mass Distribution with Calculus
- 9. Work & Energy
- 10. Conservation of Energy
- Intro to Energy Types
- Gravitational Potential Energy
- Intro to Conservation of Energy
- Energy with Non-Conservative Forces
- Springs & Elastic Potential Energy
- Solving Projectile Motion Using Energy
- Motion Along Curved Paths
- Rollercoaster Problems
- Pendulum Problems
- Energy in Connected Objects (Systems)
- Force & Potential Energy
- 11. Momentum & Impulse
- Intro to Momentum
- Intro to Impulse
- Impulse with Variable Forces
- Intro to Conservation of Momentum
- Push-Away Problems
- Types of Collisions
- Completely Inelastic Collisions
- Adding Mass to a Moving System
- Collisions & Motion (Momentum & Energy)
- Ballistic Pendulum
- Collisions with Springs
- Elastic Collisions
- How to Identify the Type of Collision
- Intro to Center of Mass
- 12. Rotational Kinematics
- 13. Rotational Inertia & Energy
- More Conservation of Energy Problems
- Conservation of Energy in Rolling Motion
- Parallel Axis Theorem
- Intro to Moment of Inertia
- Moment of Inertia via Integration
- Moment of Inertia of Systems
- Moment of Inertia & Mass Distribution
- Intro to Rotational Kinetic Energy
- Energy of Rolling Motion
- Types of Motion & Energy
- Conservation of Energy with Rotation
- Torque with Kinematic Equations
- Rotational Dynamics with Two Motions
- Rotational Dynamics of Rolling Motion
- 14. Torque & Rotational Dynamics
- 15. Rotational Equilibrium
- 16. Angular Momentum
- Opening/Closing Arms on Rotating Stool
- Conservation of Angular Momentum
- Angular Momentum & Newton's Second Law
- Intro to Angular Collisions
- Jumping Into/Out of Moving Disc
- Spinning on String of Variable Length
- Angular Collisions with Linear Motion
- Intro to Angular Momentum
- Angular Momentum of a Point Mass
- Angular Momentum of Objects in Linear Motion
- 17. Periodic Motion
- 18. Waves & Sound
- 19. Fluid Mechanics
- 20. Heat and Temperature
- Temperature
- Linear Thermal Expansion
- Volume Thermal Expansion
- Moles and Avogadro's Number
- Specific Heat & Temperature Changes
- Latent Heat & Phase Changes
- Intro to Calorimetry
- Calorimetry with Temperature and Phase Changes
- Advanced Calorimetry: Equilibrium Temperature with Phase Changes
- Phase Diagrams, Triple Points and Critical Points
- Heat Transfer
- 21. Kinetic Theory of Ideal Gases
- 22. The First Law of Thermodynamics
- 23. The Second Law of Thermodynamics
- 24. Electric Force & Field; Gauss' Law
- 25. Electric Potential
- 26. Capacitors & Dielectrics
- 27. Resistors & DC Circuits
- 28. Magnetic Fields and Forces
- 29. Sources of Magnetic Field
- 30. Induction and Inductance
- 31. Alternating Current
- 32. Electromagnetic Waves
- 33. Geometric Optics
- 34. Wave Optics
- 35. Special Relativity
13. Rotational Inertia & Energy
Parallel Axis Theorem
13. Rotational Inertia & Energy
Parallel Axis Theorem
13:46
Learn with other creators
Practice this topic
- Textbook Question
A thin uniform rod of mass M and length L is bent at its center so that the two segments are now perpendicular to each other. Find its moment of inertia about an axis perpendicular to its plane and passing through the point where the two segments meet.
1523views - Textbook Question
Find the moment of inertia of a hoop (a thin-walled, hollow ring) with mass M and radius R about an axis perpendicular to the hoop's plane at an edge.
1871views - Textbook Question
A thin, rectangular sheet of metal has mass M and sides of length a and b. Use the parallel-axis theorem to calculate the moment of inertia of the sheet for an axis that is perpendicular to the plane of the sheet and that passes through one corner of the sheet.
2301views - Textbook Question
A uniform bar has two small balls glued to its ends. The bar is 2.00 m long and has mass 4.00 kg, while the balls each have mass 0.300 kg and can be treated as point masses. Find the moment of inertia of this combination about an axis parallel to the bar and 0.500 m from it.
1025views