* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Download PES 3210 Classical Mechanics I
Hooke's law wikipedia , lookup
Aharonov–Bohm effect wikipedia , lookup
Modified Newtonian dynamics wikipedia , lookup
Double-slit experiment wikipedia , lookup
Particle filter wikipedia , lookup
Photon polarization wikipedia , lookup
Fictitious force wikipedia , lookup
Symmetry in quantum mechanics wikipedia , lookup
Monte Carlo methods for electron transport wikipedia , lookup
Mean field particle methods wikipedia , lookup
Old quantum theory wikipedia , lookup
Laplace–Runge–Lenz vector wikipedia , lookup
Elementary particle wikipedia , lookup
Relativistic mechanics wikipedia , lookup
Four-vector wikipedia , lookup
Wave packet wikipedia , lookup
Wave function wikipedia , lookup
Path integral formulation wikipedia , lookup
Relativistic quantum mechanics wikipedia , lookup
Brownian motion wikipedia , lookup
Hamiltonian mechanics wikipedia , lookup
Newton's laws of motion wikipedia , lookup
Newton's theorem of revolving orbits wikipedia , lookup
Relativistic angular momentum wikipedia , lookup
Theoretical and experimental justification for the Schrödinger equation wikipedia , lookup
Lagrangian mechanics wikipedia , lookup
Analytical mechanics wikipedia , lookup
Routhian mechanics wikipedia , lookup
Matter wave wikipedia , lookup
Rigid body dynamics wikipedia , lookup
Centripetal force wikipedia , lookup
Classical mechanics wikipedia , lookup
PES 3210 Classical Mechanics I Mid-term Review Material taken from Chapters 1-5 of Taylor and class notes. Problem solution only, no definitions or derivations. 8.5” by 11” cue sheet allowed. Calculators allowed. Any constants needed will be provided. Know how to do the following types of problems: Be able to determine if a force is conservative or not (curl=0 or force can be expressed as the gradient of a potential). Be able to calculate the gradient of a scalar function and the curl of a vector function (Cartesian coordinates only). Given a conservative potential function, know how to find and characterize the equilibrium points and their stability. For a particle falling through the air, know how to choose the drag model (linear or quadratic) that should be used, and be able to use it for a vertically or horizontally moving particle (finding position or speed as a function of time, terminal velocity, etc.). Given the equation of a force in some region, be able to calculate the work it would take to move a particle from one position to another along a specified path. Be able to apply the conservation of linear momentum to a multi-particle system in one or two dimensions (elastic collisions only). Be able to apply the conservation of angular momentum to a particle or a rigid body rotating object about an axis. Be able to find the equations of motion for a particular physical situation. Know the Newtonian method at a minimum in both Cartesian and Polar coordinates. You can use Lagrangian Mechanics, if desired. (It will not be necessary to solve the equations of motion.) Be able to draw a free-body diagram. Know how to select boundary conditions (or initial conditions). Know the solution to the Simple Harmonic Oscillator in whatever form makes sense to you, but be able to use it to find the position, velocity, acceleration, and/or force on the particle, and the kinetic and potential energy in the oscillator. Given the characteristics of a damped oscillating box & spring (mass, spring constant, ballistic coefficient), know how to compute the decay parameter, , and be able to predict the amplitude decay in an underdamped condition. R. Gist 1 of 1 Ver. A, Rev 2