Damping force is proportional to velocity

Damping force is an external (relative to an object) force that drains energy from the object, reducing the motion of the object. It is a model used, for example, to describe the motion of an oscillator.

Links:

  1. Physics LibreTexts, formula 8.3.1.

damping_constant

Non-negative damping constant.

Symbol:

b

damping_force_definition(velocity_)[source]

Vector of damping force exerted on the object.

Law:

F = -1 * b * v

Latex:
\[\vec F = -b \vec v\]
Parameters:

velocity_

velocity vector of the object.

Symbol: v

Latex: \(\vec v\)

Dimension: velocity

Returns:

vector of damping force.

Symbol: F

Latex: \(\vec F\)

Dimension: force

velocity_law(damping_force_)[source]

Velocity of the object which the damping force is exerted on.

Law:

v = -1/b * F

Latex:
\[\vec v = - \frac{\vec F}{b}\]
Parameters:

damping_force_

damping force exerted on the object.

Symbol: F

Latex: \(\vec F\)

Dimension: force

Returns:

velocity vector of the object.

Symbol: v

Latex: \(\vec v\)

Dimension: velocity