Ejs Ehu Analytical Mechanics Phase Spacejar

The Ejs Phase Space Plotter model displays the dynamics of an ensemble of pendula or simple harmonic oscillators in phase space (velocity versus position). Friction is initially set to zero but can be changed via a textbox as can the number of elements in the ensemble. For the pendulum ensemble,... Platforms: Mac

The Ejs Action for the Harmonic Oscillator model displays the trajectory of a simple harmonic oscillator by minimizing the classical action. The simulation displays the endpoints of the motion (t,x) which can be changed by using the textboxes or dragging, and displays the new trajectory as well... Platforms: Mac

The Ejs Falling Rod Leaning on a Wall model displays the dynamics of a falling rod that is initially leaning against a vertical wall. The rod is dropped from rest while its end points are in contact with a vertical wall and a horizontal table. Friction is neglected. Fall times and the trajectory... Platforms: Mac

The Ejs Duffing Phase model computes the solutions to the non-linear Duffing equation, which reads, x'' + 2?zN*x' - x (1 - x2) = f cos(?Ya* t), where each prime denotes a time derivative. The simulation displays the evolution of a group of oscillators with similar initial parameters on a phase... Platforms: Mac

The Ejs Harmonics and Fourier Series model displays the sum of harmonics via a Fourier series to yield a new wave. The amplitude of each harmonic as well as the phase of that harmonic can be changed via sliders. In addition, several pre-set functions can be chosen to display. You can modify this... Platforms: Mac

The Ejs Quartic Oscillator model displays the motion of a bead moving without friction along a horizontal rod, while tied to two symmetric springs. Both the motion of the masses and the phase space plot are shown in the simulation. The natural length of the springs can be changed via textboxes.... Platforms: Mac

The Ejs Two Source Interference model displays the interference pattern on a screen due to two point sources. The simulation allows an arbitrarily superposition of the two sources and shows both the current intensity and running average of the intensity on the screen. The separation, phase... Platforms: Mac

The Ejs N-body Orbits model displays the dynamics of three to five identical masses orbiting each other subject to Newtonian gravity. The simulation displays the periodic orbital motion of the masses. The initial configuration of the system can be changed via slider. You can modify this... Platforms: Mac

The Ejs Strange Harmonic Oscillator model displays the motion of two masses connected by a massless rigid rod and the masses may move without friction along two perpendicular rails in a horizontal table. The energy of the oscillator system can be changed via a slider. You can modify this... Platforms: Mac

The Ejs Waves and Phasors model displays the motion of a transverse wave on a string and the resulting phasors for the wave amplitude. The simulation allows an arbitrarily polarized wave to be created. The amplitude, period, phase velocity and number of phasors displayed can all be changed via... Platforms: Mac

The Ejs Transverse Wave model displays the motion of a transverse wave on a string. The simulation allows an arbitrarily polarized wave to be created. The magnitude of the components of the wave and the relative phase between the components of the wave can all be changed via sliders. You can... Platforms: Mac

The Ejs Spring Pendulum model displays the model of a hollow mass that moves along a rigid rod that is also connected to a spring. The mass, therefore, undergoes a combination of spring and pendulum oscillations. The initial position and velocities, as well as the spring constant can be changed... Platforms: Mac

The Ejs Quartic Potential Orbit model displays the dynamics of a mass orbiting a much larger mass subject to a quartic potential, C/r4. The simulation displays the motion of the smaller mass and the effective potential energy diagram. The initial energy of the system can be changed via textbox... Platforms: Mac

The EJS Waveguide model displays the motion of a traveling wave forced to move between two walls in a waveguide. The two walls are located at y = 0 and a, so that its normal modes are u(t,x) = A sin(n ?Y?* y/a) cos(k x - ?Ya* t) with n equal to a positive integer. The phase velocity and number of... Platforms: Mac

The Ejs Duffing Chaos model computes the solutions to the non-linear Duffing equation, which reads, x'' + 2?zN*x' - x (1 - x2) = f cos(?Ya* t), where each prime denotes a time derivative. The simulation displays two solutions with different initial positions and a plot of phase. The evolution... Platforms: Mac

The Ejs Orbiting Mass with Spring Force model displays the frictionless dynamics of a mass constrained to orbit on a table due to a spring. The simulation displays the motion of the mass as well as the effective potential energy. The initial velocity, k/m, and the proper or natural length of the... Platforms: Mac

The Ejs Spinning Hoop model displays the model of a bead moving along a hoop which is spinning about its vertical diameter with constant angular velocity ?. Friction is negligible. The simulation displays the motion of the bead as well as a plot of angle vs. time for the bead. The angular... Platforms: Mac

The Ejs Anisotropic Oscillator model displays the dynamics of a mass connected to two opposing springs. The simulation displays the motion of the mass as well as the trajectory plot. The initial position of the mass can be changed by dragging. The unstretched lengths of the springs can changed as... Platforms: Mac

The Ejs Orbiting Mass with Constant Force model displays the dynamics of an orbiting mass due to a constant force (a linear potential energy function). The simulation displays the motion of the mass as well as the effective potential energy. The initial conditions can be changed by dragging the... Platforms: Mac

The Ejs Newtonian Scattering model displays the gravitational scattering of a multiple masses incident on a target mass. The simulation displays the motion of the smaller. The number of particles and their initial spread, the gravitational constant, and the target mass's radius can be changed via... Platforms: Mac