Wednesday, March 10, 2010
   
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1 units, dimensions, measurements and associated uncertainties, dimensional analysis, and scaling arguments
2 introduction to kinematics
3 how to add, subtract, decompose and multiply vectors.
4 motion of projectiles (if air drag can be ignored). The objects experience a constant vertical acceleration due to the acceleration of gravity
5 uniform circular motion. There is a constant radial acceleration (centripetal acceleration) but constant tangential speed
6 Newton's First (inertia), Second (F=ma) and Third (action=-reaction) Laws.
7 weight, perceived gravity, weightlessness, free fall, zero perceived gravity in orbit.
8 frictional forces
9 reviews selected topics
10 restoring force of a spring (Hooke's Law) which leads to an equation of motion that is characteristic of a simple harmonic oscillator (SHO). Using the small angle approximation, a similar expression is reached for a pendulum.
11 work, conservative forces, potential energy, kinetic energy, mechanical energy, and Newton's law of universal gravitation.
12 resistive forces such as air drag. It includes the viscous (linear in velocity) and pressure (quadratic in velocity) terms. Quantitative demonstrations with balloons and with ball bearings dropped in syrup are shown.
13 The conservation of mechanical energy can be used to derive the equation of motion for simple harmonic oscillators (SHO).
14 Bound and unbound orbits; escape velocity. Various sources of energy, energy storage, energy conversion, and the world's energy consumption are discussed.
15 Momentum and its conservation during collisions is introduced. Kinetic energy can decrease or increase during collisions. When kinetic energy is conserved, we call it an elastic collision.
16 Elastic and Inelastic Collisions
17 The momentum of individual objects can change in a variety of ways.
18 This lecture reviews selected concepts previously covered in lectures 6 through 15.
19 Rotating Rigid Bodies, Moments of Inertia, Parallel Axis and Perpendicular Axis Theorem. The moment of inertia for a rigid body around an axis of rotation is introduced, and related to its rotational kinetic energy. Flywheels can be used to store energy.
20 Angular momentum (a vector) is introduced. The rate of change of angular momentum is related to the torque (also a vector). In the absence of an external torque, angular momentum is conserved.
21 In the absence of a net external torque on an object, angular momentum is conserved. When an object oscillates about an axis of rotation, there is a variable restoring torque acting on the object.
22 Kepler's Laws, Elliptical Orbits, Change of Orbits, and the famous passing of a Ham Sandwich.
23 Doppler Effect, Binary Stars, Neutron Stars and Black Holes.
24 Rolling Motion, Gyroscopes, Very Non-intuitive.
25 Static Equilibrium, Stability, Rope Walker. Static equilibrium is only achieved when the net external force AND net external torque on an object are both zero.
26 Elasticity and Young's Modulus.
27 Concepts covered in this lecture include gases and incompressible liquids, Pascal's Principle, hydrostatic and barometric pressure.
28 Concepts covered in this lecture include Hydrostatics, Archimedes' Principle, Fluid Dynamics, What makes your Boat Float?, and Bernoulli's Equation.
29 This lecture reviews selected concepts previously covered in lectures 16 through 24.
30 The simple harmonic oscillations (SHO) of suspended solid bodies are related to their geometry. The torsional pendulum oscillates in the horizontal plane; the SHO does NOT depend on the small angle approximation.
31 Systems consisting of pendulums and springs can freely oscillate at their natural frequencies (also called normal modes).
32 Heat raises the temperature, and usually the volume of the material that absorbs the heat. The linear and cubical thermal expansion coefficients of metals
33 The ideal-gas law is introduced, and the rate of momentum transfer from the gas molecules to the vessel walls is related to pressure.
34 Classical Mechanics, in spite of all of its impressive predictive power, fails to explain many microscopic behaviors. This led to the development of Quantum Mechanics
35 Professor Lewin talks about some of the highlights from his early days at MIT. It began with balloon flights at very high altitude to make observations of the stars in X-rays.
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