One of Eureqa's initial achievements was identifying the basic laws of motion by analyzing the motion of a double pendulum
As examples of visualization of the problems of engineering mechanics the simulations of motion of virtual four bar linkage, material point on the elliptical trajectory and large oscillations of a virtual double pendulum are considered.
Key words: creativity, interactivity, visualization, engineering mechanics, double pendulum
Motion of a double pendulum can be modeled by the equations of Lagrange of second order or by the equations of Hamilton.
2] are generalized co-ordinates (Wikipedia, 2011), or inclination angles, of the double pendulum (Fig.
In the next section, we will use a double pendulum and obtain its total mechanical energy.
The motors are assumed inactive thus allowing us to model the system as double pendulum and a conservative system.
The double pendulum example is studied in three ways.
In this case the double pendulum is released from the horizontal position ([[theta].
The researchers tested the method with apparatus used in freshman physics courses: a spring-loaded linear oscillator, a single pendulum and a double pendulum
By utilizing two independent bobs connected by hinged tubes, the double pendulum
shows "chaotic" motion within the plane of its swing but still remains within the 16-foot perimeter of its motion.
A variety of physical systems, from electronic circuits to the simple double pendulum
(which consists of two suspended rods, one pivoting from the other), show the sensitive dependence on initial conditions that characterizes chaotic systems.