A molecular dynamic simulation, where you wish to calculate the motion of individual atoms in a material ... For this case, the basis vectors are constant (independent of time) and so This is really ...

The gradient of a velocity-time graph at a particular time gives the acceleration of the object at that time. \(\text{Gradient} = \frac{{change\,in\,velocity ...

Dynamics with Debye spectral densities as well as underdamped and overdamped Brownian oscillator baths. Integration of the equations of motion with an adaptive short iterative Arnoldi (SIA) integrator ...

Biomechanics, meaning “life mechanics”, makes use of several key equations which are listed below. For examples see the dynamics section of the Mechanics page ...

Keeping >1, experiment with the effects of changing the stiffness of the spring and the value of the mass. Can you explain what is happening mathematically, using the equations of motion and their ...

There are various methods to measure acceleration due to gravity. At Higher level all rely on one of the equations of motion. The measurements required will depend on the equation used.

The solution for the wave equation is then constructed by a method which makes use of functional equations. The solution is observed to be periodic in time, and a modal decomposition of it is derived.

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The initial and final states have certain smoothness and the transfer must occur over a given time interval. We address this motion planning problem by first discretizing the spatial derivatives in ...