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MIT 8.01: Physics I: Classical Mechanics

Contents · 70

  1. 01-Powers of 10, Units, Dimensions, Uncertainties, Scaling ArgumentsIntroduces powers of ten, measurement units, dimensional analysis, uncertainty, and scaling arguments.
  2. 01-Powers of 10, Units, Dimensions, Uncertainties, Scaling ArgumentsIntroduces SI units, fundamental dimensions, derived quantities, and measurement uncertainty through examples and demonstrations.
  3. 02-1D Kinematics - Speed, Velocity, AccelerationDefines average velocity and speed, explains how sign conventions affect velocity, and derives instantaneous velocity as the derivative of position with respect to time.
  4. 02-1D Kinematics - Speed, Velocity, AccelerationDefines average and instantaneous velocity and acceleration, distinguishing velocity from speed and explaining sign conventions and position-time graphs.
  5. 03-Vectors - Dot Products - Cross Products - 3D KinematicsVector addition and subtraction, vector components in 3D, dot and cross products, and applying vectors to three-dimensional kinematics.
  6. 03-Vectors - Dot Products - Cross Products - 3D KinematicsIntroduces vectors, distinguishes them from scalars, and explains vector addition and subtraction using head-to-tail and parallelogram methods.
  7. 04-3D Kinematics, Free Falling Reference FramesDerives the projectile’s parabolic path, maximum height, and the times to reach its peak and return to the ground.
  8. 04-3D Kinematics, Free Falling Reference FramesDerives the parabolic trajectory, time to maximum height, and maximum height of a projectile using its horizontal and vertical motion.
  9. 05-Circular Motion, Centripetal Forces, Perceived GravityUniform circular motion, angular speed and period, centripetal acceleration, and the pushes or pulls that keep an object moving in a circle.
  10. 05-Circular Motion, Centripetal Forces, Perceived GravityDefines period, frequency, angular velocity, and centripetal acceleration in uniform circular motion, with a rotor example and discussion of the pushes and pulls that produce circular motion.
  11. 06-Newton's LawsIntroduces Newton’s first and second laws, inertial reference frames, and experiments relating force, mass, and acceleration.
  12. 06-Newton's LawsNewton’s laws of motion, inertial reference frames, and how Earth’s rotation and orbit produce small accelerations. Begins an explanation of Newton’s second law using a spring.
  13. 07-Weight, Weightlessness in Free Fall, Weight in OrbitDefines weight as the support force measured by a scale, and explains how acceleration changes apparent weight, including weightlessness in free fall and orbit.
  14. 07-Weight, Weightlessness in Free Fall, Weight in OrbitDefines apparent weight as the support force from a scale or string, and explains how elevator acceleration and free fall change what a scale reads.
  15. 08-FrictionExplains static and kinetic friction, maximum friction force, normal force, and measuring static friction using an inclined plane.
  16. 08-FrictionExplains static and kinetic friction, normal force, and measuring the static friction coefficient with an inclined plane.
  17. 09-First Exam ReviewScaling laws for animal bones, dot products and their geometric interpretation, and cross products’ magnitude, direction, and properties.
  18. 09-First Exam ReviewReviews scaling laws for animal bones and introduces vector dot products, including component and angle-based definitions.
  19. 10-Hooke's Law, Springs, Pendulums, Simple Harmonic MotionHooke’s law, measuring spring constants, elastic limits, and the mass and amplitude dependence of spring oscillation periods.
  20. 10-Hooke's Law, Springs, Pendulums, Simple Harmonic MotionIntroduces Hooke’s law and spring constants, including static measurement, elastic limits, and the start of oscillation experiments.
  21. 11-Work, Kinetic & Potential Energy, Gravitation, Conservative ForcesDefines work in one and three dimensions and explains the work-energy theorem, kinetic energy, and examples involving gravity and lifting objects.
  22. 11-Work, Kinetic & Potential Energy, Gravitation, Conservative ForcesWork and energy, including the work–energy theorem, kinetic energy, and how gravity and applied forces do work in one and three dimensions.
  23. 12-Air Drag, Resistive Forces, Conservative Forces, Terminal VelocityDescribes viscous and pressure drag on spheres, terminal velocity, critical speed, and how drag regimes depend on object size and medium.Explains viscous and pressure drag on spheres, terminal velocity, critical speed, and how drag regimes depend on object size and medium.
  24. 12-Air Drag, Resistive Forces, Conservative Forces, Terminal VelocityExplains viscous and pressure drag on spheres, terminal velocity, and the critical speed separating drag regimes.
  25. 13-Potential Energy, Derive Simple Harmonic Motion using EnergyGravitational potential energy near Earth and at planetary distances, the relation between force and potential energy, and spring force and elastic potential energy.
  26. 13-Potential Energy, Derive Simple Harmonic Motion using EnergyExplains gravitational and spring potential energy, how work relates to changes in potential energy, and how forces point toward decreasing potential energy.
  27. 14-Escape Velocities, Circular Orbits, Bound and Unbound Orbits, PowerDerives Earth’s escape velocity and explains bound versus unbound motion, circular orbital speed, and the relationship between orbital radius and period, with shuttle and Moon examples.
  28. 14-Escape Velocities, Circular Orbits, Bound and Unbound Orbits, PowerDerives Earth’s escape velocity and distinguishes bound from unbound orbits, then calculates circular satellite speeds and periods, including the Space Shuttle’s near-Earth orbit.
  29. 15-Momentum, Conservation of Momentum, Center of MassDefines momentum as mass times velocity and derives its conservation for isolated systems, then applies it to objects that stick together in a collision.
  30. 15-Momentum, Conservation of Momentum, Center of MassIntroduces momentum, Newton’s second and third laws, and conservation of total momentum in isolated systems, with a one-dimensional collision example.
  31. 16-Elastic & Inelastic Collisions, Center of Mass Frame of ReferenceDerives velocity equations for one-dimensional elastic collisions and compares elastic, inelastic, and superelastic collisions, including the limiting case of a heavy mass striking a very light one.
  32. 16-Elastic & Inelastic Collisions, Center of Mass Frame of ReferenceExplains elastic, inelastic, and superelastic collisions, deriving one-dimensional elastic-collision velocities and examining extreme mass ratios.
  33. 17-Impulse, RocketsExplains how a ballistic pendulum uses momentum and energy conservation to estimate bullet speed, including the small-angle displacement method and measurement uncertainties.
  34. 17-Impulse, RocketsDerives the ballistic pendulum method for estimating bullet speed using momentum conservation, energy conservation, small-angle geometry, and measurement uncertainty.
  35. 18-2nd Exam ReviewWork-energy theorem and mechanical energy conservation; friction on an incline, free-body diagrams, static and kinetic friction, acceleration, and final speed.
  36. 18-2nd Exam ReviewReviews work-energy and mechanical energy conservation, then applies free-body diagrams, static and kinetic friction, and Newton’s laws to motion on an incline.
  37. 19-Rotating Objects, Moment of Inertia, Rotational KE, Neutron StarsAngular acceleration and rotational kinematics, rotational kinetic energy, and moments of inertia for disks, spheres, and rods.
  38. 19-Rotating Objects, Moment of Inertia, Rotational KE, Neutron StarsRelates angular acceleration and linear kinematics to circular motion, then derives rotational kinetic energy and moment of inertia for a rotating disk.
  39. 20-Angular Momentum, Torques, Conservation of Angular MomentumDefines angular momentum relative to a chosen point and explains how its value and conservation depend on that choice, using projectile motion and Earth’s orbit as examples.
  40. 20-Angular Momentum, Torques, Conservation of Angular MomentumIntroduces angular momentum and torque, defining angular momentum relative to a chosen point and explaining how its magnitude and direction depend on position and velocity. Uses projectile motion and Earth’s orbit to illustrate when angular momentum changes or remains constant. ^(37 words) Introduces angular momentum and torque, showing how angular momentum depends on the chosen reference point and how its magnitude and direction behave in projectile motion and orbital motion.
  41. 21-Torques, Oscillating Bodies, Physical PendulumsReviews angular momentum and torque, explains how they depend on the chosen reference point, and applies conservation to orbital motion and rotation.
  42. 21-Torques, Oscillating Bodies, Physical PendulumsIntroduces angular momentum and torque, including their definitions, dependence on the chosen reference point, conservation laws, and applications to orbital motion and rotation.
  43. 22-Kepler's Laws, Elliptical Orbits, Satellites, Orbital ChangesReviews circular-orbit mechanics, Kepler’s three laws, and elliptical-orbit geometry, energy, and changing speed and distance.
  44. 22-Kepler's Laws, Elliptical Orbits, Satellites, Orbital ChangesIntroduces elliptical orbits and Kepler’s three laws, reviewing circular-orbit speed, period, energy, and escape velocity. Defines ellipse geometry and the names for closest and farthest orbital points.
  45. 23-Doppler Effect, Binary Stars, Neutron Stars & Black HolesExplains the Doppler effect for sound, showing how motion changes observed frequency and how frequency shifts reveal an object's speed, rotation period, and radius. Begins introducing Doppler shifts in electromagnetic waves.
  46. 23-Doppler Effect, Binary Stars, Neutron Stars & Black HolesExplains the Doppler effect for moving sound sources, including how frequency shifts reveal an object's speed, rotation period, and radius.
  47. 24-Rolling Motion, Gyroscopes, VERY NON-INTUITIVEDerives the acceleration of a cylinder rolling without slipping down an incline, using torque, friction, and moment of inertia.
  48. 24-Rolling Motion, Gyroscopes, VERY NON-INTUITIVEPure rolling down an incline, including the no-slip condition, torque and force equations, and how a cylinder’s moment of inertia determines its acceleration.
  49. 25-Static Equilibrium, Stability, Rope WalkerDerives the minimum angle for a ladder to remain in static equilibrium, using force and torque balance with friction.
  50. 25-Static Equilibrium, Stability, Rope WalkerExplains static equilibrium, balancing forces and torques, and finding the minimum angle and friction conditions that keep a ladder from slipping.
  51. 26-Elasticity, Young's ModulusDerives Young’s modulus by relating stress to strain, and applies it to compare the extension of steel and nylon rods under load.
  52. 26-Elasticity, Young's ModulusDefines stress, strain, and Young’s modulus, deriving how a rod’s extension depends on force, length, and cross-sectional area, with a steel-rod example.
  53. 27-Fluid Mechanics, Hydrostatics, Pascal's Principle, Atmosph. PressureDefines pressure and Pascal’s principle, explains hydraulic jacks and their energy balance, and begins deriving how gravity changes fluid pressure with depth.
  54. 27-Fluid Mechanics, Hydrostatics, Pascal's Principle, Atmosph. PressureIntroduces Pascal’s principle and hydraulic jacks, then derives how gravity causes pressure to vary with depth in a fluid.
  55. 28-Hydrostatics, Archimedes' Principle, Bernoulli's EquationExplains Archimedes’ principle, buoyant force, methods for finding an object’s density, and why most of an iceberg lies underwater.
  56. 28-Hydrostatics, Archimedes' Principle, Bernoulli's EquationArchimedes’ principle, buoyant force, measuring density by immersion, and the fraction of an iceberg submerged in water.
  57. 29-Third Exam ReviewExplains momentum and kinetic energy in inelastic and elastic collisions, including Newton’s cradle, then introduces the Atwood machine and free-body diagrams.
  58. 29-Third Exam ReviewCovers inelastic and elastic collisions, conservation of momentum and kinetic energy, Newton’s cradle, and an introduction to torque, angular momentum, rotation, and the Atwood machine.
  59. 30-Simple Harmonic Motion, Energy Considerations, Torsional PendulumDerives the small-angle period of a physical pendulum and applies it to a pivoted rod, including its moment of inertia and a one-second pendulum design.
  60. 30-Simple Harmonic Motion, Energy Considerations, Torsional PendulumDerives the small-angle period of a physical pendulum and applies it to a rod using the parallel-axis theorem.
  61. 31-Forced Oscillations, Normal Modes, Resonances, Musical InstrumentsForced oscillations, steady-state amplitude, natural frequency, resonance, phase shifts, and the effects of damping.
  62. 31-Forced Oscillations, Normal Modes, Resonances, Musical InstrumentsExplains forced oscillations, steady-state amplitude, resonance at the natural frequency, phase change, and how damping limits the amplitude.Explains forced oscillations, steady-state amplitude, resonance at the natural frequency, phase change, and how damping limits the amplitude.
  63. 32-Heat, Thermal ExpansionExplains thermal equilibrium and thermometric properties, then introduces Celsius, Fahrenheit, and Kelvin scales and their conversions.Explains thermal equilibrium and thermometric properties, then introduces Celsius, Fahrenheit, and Kelvin temperature scales and their conversions.
  64. 32-Heat, Thermal ExpansionTemperature, thermal equilibrium, thermometric properties, and the origins and conversions of Celsius, Fahrenheit, and absolute temperature scales.
  65. 33-Kinetic Gas Theory, Ideal Gas Law, Phase TransitionsGas compressibility and the ideal-gas law; moles, Avogadro’s number, atomic mass, isotopes, and the molar volume of gases.Gas compressibility and the ideal-gas law, including moles, Avogadro’s number, atomic mass, isotopes, and molar volume.
  66. 33-Kinetic Gas Theory, Ideal Gas Law, Phase TransitionsIntroduces the ideal gas law, moles and Avogadro’s number, atomic mass, and the shared volume of one mole of gas at room temperature and atmospheric pressure.
  67. 34-The Wonderful Quantum World, Breakdown of Classical MechanicsIntroduces quantum mechanics through atomic structure, quantized electron energy levels, and how heating excites electrons.
  68. 34-The Wonderful Quantum World, Breakdown of Classical MechanicsIntroduces atomic structure and the limits of classical physics, explaining quantized electron energy levels and transitions.
  69. 35-Farewell Special, My Early Days in Astrophysics, Huge BalloonsThe history and methods of early X-ray astronomy, including discoveries such as Sco X-1 and balloon-borne telescope research at MIT.
  70. 35-Farewell Special, My Early Days in Astrophysics, Huge BalloonsWalter Lewin’s early MIT research in X-ray astronomy, including the discovery of Sco X-1 and balloon-borne telescope observations.Walter Lewin’s early MIT research in X-ray astronomy, including the discovery of Sco X-1 and balloon-borne observations.