Table of contents
- 0. Math Review(0)
- 1. Intro to Physics Units(0)
- 2. 1D Motion / Kinematics(0)
- Vectors, Scalars, & Displacement(0)
- Average Velocity(0)
- Intro to Acceleration(0)
- Position-Time Graphs & Velocity(0)
- Conceptual Problems with Position-Time Graphs(0)
- Velocity-Time Graphs & Acceleration(0)
- Calculating Displacement from Velocity-Time Graphs(0)
- Conceptual Problems with Velocity-Time Graphs(0)
- Calculating Change in Velocity from Acceleration-Time Graphs(0)
- Graphing Position, Velocity, and Acceleration Graphs(0)
- Kinematics Equations(0)
- Vertical Motion and Free Fall(0)
- Catch/Overtake Problems(0)
- 3. Vectors(0)
- Review of Vectors vs. Scalars(0)
- Introduction to Vectors(0)
- Adding Vectors Graphically(0)
- Vector Composition & Decomposition(0)
- Adding Vectors by Components(0)
- Trig Review(0)
- Unit Vectors(0)
- Introduction to Dot Product (Scalar Product)(0)
- Calculating Dot Product Using Components(0)
- Intro to Cross Product (Vector Product)(0)
- Calculating Cross Product Using Components(0)
- 4. 2D Kinematics(0)
- 5. Projectile Motion(0)
- 6. Intro to Forces (Dynamics)(0)
- 7. Friction, Inclines, Systems(0)
- 8. Centripetal Forces & Gravitation(0)
- Uniform Circular Motion(0)
- Period and Frequency in Uniform Circular Motion(0)
- Centripetal Forces(0)
- Vertical Centripetal Forces(0)
- Flat Curves(0)
- Banked Curves(0)
- Newton's Law of Gravity(0)
- Gravitational Forces in 2D(0)
- Acceleration Due to Gravity(0)
- Satellite Motion: Intro(0)
- Satellite Motion: Speed & Period(0)
- Geosynchronous Orbits(0)
- Overview of Kepler's Laws(0)
- Kepler's First Law(0)
- Kepler's Third Law(0)
- Kepler's Third Law for Elliptical Orbits(0)
- Gravitational Potential Energy(0)
- Gravitational Potential Energy for Systems of Masses(0)
- Escape Velocity(0)
- Energy of Circular Orbits(0)
- Energy of Elliptical Orbits(0)
- Black Holes(0)
- Gravitational Force Inside the Earth(0)
- Mass Distribution with Calculus(0)
- 9. Work & Energy(0)
- 10. Conservation of Energy(0)
- Intro to Energy Types(0)
- Gravitational Potential Energy(0)
- Intro to Conservation of Energy(0)
- Energy with Non-Conservative Forces(0)
- Springs & Elastic Potential Energy(0)
- Solving Projectile Motion Using Energy(0)
- Motion Along Curved Paths(0)
- Rollercoaster Problems(0)
- Pendulum Problems(0)
- Energy in Connected Objects (Systems)(0)
- Force & Potential Energy(0)
- 11. Momentum & Impulse(0)
- Intro to Momentum(0)
- Intro to Impulse(0)
- Impulse with Variable Forces(0)
- Intro to Conservation of Momentum(0)
- Push-Away Problems(0)
- Types of Collisions(0)
- Completely Inelastic Collisions(0)
- Adding Mass to a Moving System(0)
- Collisions & Motion (Momentum & Energy)(0)
- Ballistic Pendulum(0)
- Collisions with Springs(0)
- Elastic Collisions(0)
- How to Identify the Type of Collision(0)
- Intro to Center of Mass(0)
- 12. Rotational Kinematics(0)
- 13. Rotational Inertia & Energy(0)
- More Conservation of Energy Problems(0)
- Conservation of Energy in Rolling Motion(0)
- Parallel Axis Theorem(0)
- Intro to Moment of Inertia(0)
- Moment of Inertia via Integration(0)
- Moment of Inertia of Systems(0)
- Moment of Inertia & Mass Distribution(0)
- Intro to Rotational Kinetic Energy(0)
- Energy of Rolling Motion(0)
- Types of Motion & Energy(0)
- Conservation of Energy with Rotation(0)
- Torque with Kinematic Equations(0)
- Rotational Dynamics with Two Motions(0)
- Rotational Dynamics of Rolling Motion(0)
- 14. Torque & Rotational Dynamics(0)
- 15. Rotational Equilibrium(0)
- 16. Angular Momentum(0)
- Opening/Closing Arms on Rotating Stool(0)
- Conservation of Angular Momentum(0)
- Angular Momentum & Newton's Second Law(0)
- Intro to Angular Collisions(0)
- Jumping Into/Out of Moving Disc(0)
- Spinning on String of Variable Length(0)
- Angular Collisions with Linear Motion(0)
- Intro to Angular Momentum(0)
- Angular Momentum of a Point Mass(0)
- Angular Momentum of Objects in Linear Motion(0)
- 17. Periodic Motion(0)
- 18. Waves & Sound(0)
- Intro to Waves(0)
- Velocity of Transverse Waves(0)
- Velocity of Longitudinal Waves(0)
- Wave Functions(0)
- Phase Constant(0)
- Average Power of Waves on Strings(0)
- Wave Intensity(0)
- Sound Intensity(0)
- Wave Interference(0)
- Superposition of Wave Functions(0)
- Standing Waves(0)
- Standing Wave Functions(0)
- Standing Sound Waves(0)
- Beats(0)
- The Doppler Effect(0)
- 19. Fluid Mechanics(0)
- 20. Heat and Temperature(0)
- Temperature(0)
- Linear Thermal Expansion(0)
- Volume Thermal Expansion(0)
- Moles and Avogadro's Number(0)
- Specific Heat & Temperature Changes(0)
- Latent Heat & Phase Changes(0)
- Intro to Calorimetry(0)
- Calorimetry with Temperature and Phase Changes(0)
- Advanced Calorimetry: Equilibrium Temperature with Phase Changes(0)
- Phase Diagrams, Triple Points and Critical Points(0)
- Heat Transfer(0)
- 21. Kinetic Theory of Ideal Gases(0)
- 22. The First Law of Thermodynamics(0)
- 23. The Second Law of Thermodynamics(0)
- 24. Electric Force & Field; Gauss' Law(0)
- 25. Electric Potential(0)
- 26. Capacitors & Dielectrics(0)
- 27. Resistors & DC Circuits(0)
- 28. Magnetic Fields and Forces(0)
- 29. Sources of Magnetic Field(0)
- Magnetic Field Produced by Moving Charges(0)
- Magnetic Field Produced by Straight Currents(0)
- Magnetic Force Between Parallel Currents(0)
- Magnetic Force Between Two Moving Charges(0)
- Magnetic Field Produced by Loops and Solenoids(0)
- Toroidal Solenoids aka Toroids(0)
- Biot-Savart Law (Calculus)(0)
- Ampere's Law (Calculus)(0)
- 30. Induction and Inductance(0)
- 31. Alternating Current(0)
- Alternating Voltages and Currents(0)
- RMS Current and Voltage(0)
- Phasors(0)
- Resistors in AC Circuits(0)
- Phasors for Resistors(0)
- Capacitors in AC Circuits(0)
- Phasors for Capacitors(0)
- Inductors in AC Circuits(0)
- Phasors for Inductors(0)
- Impedance in AC Circuits(0)
- Series LRC Circuits(0)
- Resonance in Series LRC Circuits(0)
- Power in AC Circuits(0)
- 32. Electromagnetic Waves(0)
- 33. Geometric Optics(0)
- 34. Wave Optics(0)
- 35. Special Relativity(0)
13. Rotational Inertia & Energy
More Conservation of Energy Problems
13. Rotational Inertia & Energy
More Conservation of Energy Problems: Study with Video Lessons, Practice Problems & Examples
4PRACTICE PROBLEM
A steel cable is connected at one end to a wooden crate that can slide down an inclined ramp. The other end of the cable is wound around a metal solid drum positioned in a groove at the top of the ramp as shown in the diagram. The ramp is inclined at an angle of 30° to the horizontal, and the crate has a mass of 5.0 kg. The solid drum has a mass of 50 kg and a radius of 0.25 m and rotates without slipping as the cable unrolls. Determine the speed of the crate after it has slid 2.0 meters along the ramp, starting from rest, when there is no friction.
![Diagram showing a crate on a 30° ramp connected to a drum, illustrating energy conservation problem.](data:image/png;base64,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)
A steel cable is connected at one end to a wooden crate that can slide down an inclined ramp. The other end of the cable is wound around a metal solid drum positioned in a groove at the top of the ramp as shown in the diagram. The ramp is inclined at an angle of 30° to the horizontal, and the crate has a mass of 5.0 kg. The solid drum has a mass of 50 kg and a radius of 0.25 m and rotates without slipping as the cable unrolls. Determine the speed of the crate after it has slid 2.0 meters along the ramp, starting from rest, when there is no friction.