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breakfight
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Is there a non-iterative way to solve for the motion of an object under the influence of a time-dependent, position-dependent force?
Here is an example problem:
A bead on a straight wire is subjected to a net force.
There is no friction between the bead and the wire.
The bead and the wire do not experience any gravitational forces.
The bead has a mass of 1kg.
The net force acts along the wire, and is position and time dependent. It can be represented as
F = 9x2 + 5xt - 10t2
The bead starts at rest at x = 0.
Where is the bead after 30 seconds have elapsed?
How would one go about solving a problem like this numerically?
Here is an example problem:
A bead on a straight wire is subjected to a net force.
There is no friction between the bead and the wire.
The bead and the wire do not experience any gravitational forces.
The bead has a mass of 1kg.
The net force acts along the wire, and is position and time dependent. It can be represented as
F = 9x2 + 5xt - 10t2
The bead starts at rest at x = 0.
Where is the bead after 30 seconds have elapsed?
How would one go about solving a problem like this numerically?