This note covers the following topics: Projectile
Motion, scillations: Mass on a Spring, forced Oscillations, Polar co-ordinates,
Simple Pendulum, Motion Under a Central Force, Kepler’s Laws, Polar equations of
motion, Differential Equation for the Particle Path, Planetary motion, Momentum,
Angular Momentum and Energy, Particle Motion under Gravity on Surface of
Revolution with Vertical Axis of Symmetry, Stability and Instability, Rotating
Systems, Many particle systems, Rigid body motion, Axisymmetric top.
Author(s): Prof. Sheila Widnall, Prof. John Deyst and Prof. Edward
Greitzer
This note describes the following topics: Equation of motion, Equations of motion for an inviscid fluid,
Bernoulli equation, The vorticity field, Two dimensional flow of a homogeneous,
incompressible, inviscid fluid and boundary layers in nonrotating fluids.
The contents of this pdf include : Introduction
to Mechanical Vibrations, Vibration Under Harmonic Forcing Conditions,
Vibration Under General Forcing Conditions, Two and Multi - Dof System,
Continuous Systems.
Author(s): G S D Madhav,
Assistant Professor, Y Shwetha, Assistant Professor, G Ram Vishal,
Assistant Professor, Department of Aeronautical Engineering, Institute
of Aeronautical Engineering
Dynamics
is the study of motion through phase space. The phase space of a given
dynamical system is described as an N-dimensional manifold, M. The topics
covered in this pdf are: Reference Materials, Dynamical Systems,
Bifurcations, Two-Dimensional Phase Flows, Nonlinear Oscillators,
Hamiltonian Mechanics, Maps, Strange Attractors, and Chaos, Ergodicity and
the Approach to Equilibrium, Front Propagation, Pattern Formation, Solitons,
Shock Waves.
Author(s): Daniel
Arovas, Department of Physics, University of California, San Diego
This note explains the following topics: Introduction to the
dynamics and vibrations of lumped-parameter models of mechanical systems,
Work-energy concepts, Kinematics, Force-momentum formulation for systems of
particles and rigid bodies in planar motion, Lagrange's
equations for systems of particles and rigid bodies in planar motion,
Virtual displacements and virtual work, Linearization of equations of
motion, Linear stability analysis of mechanical systems.
Author(s): Prof. Nicholas Hadjiconstantinou, Prof. Peter So, Prof. Sanjay Sarma and Prof.
Thomas Peacock
Molecular dynamics is a
computer simulation technique where the time evolution of a set of interacting
particles is followed by integrating their equation of motion. Topics covered
includes: Classical mechanics, Statistical averaging, Physical models of the
system, The time integration algorithm, Average properties, Static properties,
Dynamic properties.
This note covers the
following topics: Kinematics of Particles, Rectilinear, Curvilinear x-y,
Normal-tangential n-t, Polar r-theta, Relative motion, Force Mass Acceleration,
Work Energy, Impulse Momentum, Kinematics of Rigid Bodies, Rotation, Absolute
Motion, Relative Velocity, Relative Acceleration, Motion Relative to Rotating
Axes, Force Mass Acceleration and Kinetics of Rigid Bodies.
This note describes the following topics: Newtonian
mechanics, Forces and dynamics, Motion in one dimension, Motion in higher
dimensions, Constrained systems, The Kepler problem, Systems of particles,
Rotating frames and rigid bodies.
This note
provides a broad introduction to Newtonian dynamics of particles and rigid
bodies with applications to engineering design. Topics covered includes:
kinematics and dynamics of particles and rigid bodies, conservation laws,
vibrations of single degree of freedom systems, and use of MATLAB to solve
equations of motion and optimize engineering designs.
This note the explains the following
topics: Newton’s Laws of Motion, One-Dimensional Motion, Multi-Dimensional
Motion, Planetary Motion, Two-Body Dynamics, Rotating Reference Frames, Rigid
Body Rotation, Lagrangian Dynamics, Hamiltonian Dynamics, Coupled
Oscillations, Gravitational Potential Theory, Lunar Motion and The
Chaotic Pendulum.