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Mechanics

Free fall with linear drag

Alfredo Louro
This system models the equation of motion of a projectile in the horizontal (x) and vertical (y) directions, with a linear drag force. The drag is quantified by a drag coefficient C, which can be set by means of a slider.
Note that the equation has been made non-dimensional by measuring time in units of v_0/g, and distance in units of v_0^2/g. In these units, the acceleration due to gravity is simply 1. Also the "seconds" in the time axis of the graphs really means the time units defined here. Also in these units the initial speed is simply 1. 
The inclination has been fixed at Pi/2. A later version will let this change with a slider.
One of the displays is y vs. x, which shows the trajectory of the projectile. 

Physics Mechanics Drag

  • 4 years 2 months ago

Simple harmonic oscillator with damping 2

Alfredo Louro
This shows the motion of a damped harmonic oscillator, described in terms of the undamped natural frequency, and a frequency gamma that reflects the degree of damping, parameterized as a damping ratio gamma/natural frequency. An accurate solution requires a small time step and RK4 as the integration algorithm.

Physics Mechanics

  • 4 years 3 months ago

Driven damped oscillator

Alfredo Louro
This shows the motion of a driven damped harmonic oscillator, described in terms of the undamped natural frequency, and a frequency gamma that reflects the degree of damping, parameterized as a damping ratio gamma/natural frequency. 
The oscillator is driven with a force that is a sine function of time, with a frequency that can be varied, expressed as a forcing ratio driving frequency/natural frequency.
An accurate solution requires a small time step and RK4 as the integration algorithm.

Physics Mechanics

  • 4 years 3 months ago

Clone of Driven damped oscillator

luis gomez
This shows the motion of a driven damped harmonic oscillator, described in terms of the undamped natural frequency, and a frequency gamma that reflects the degree of damping, parameterized as a damping ratio gamma/natural frequency. 
The oscillator is driven with a force that is a sine function of time, with a frequency that can be varied, expressed as a forcing ratio driving frequency/natural frequency.
An accurate solution requires a small time step and RK4 as the integration algorithm.

Physics Mechanics

  • 5 months 4 weeks ago