jmath.physics package¶

Submodules¶

jmath.physics.circuits module¶

jmath/physics/circuits.py

Author: Jordan Hay Date: 2021-06-22

Tools for circuit analysis

class jmath.physics.circuits.Circuit¶

Bases: jmath.discrete.Graph

add_components(*components)¶

Add components to circuit

*components (Components) - Components to add to circuit

loops()¶: Returns a list of the loops in the circuit around the primary node

class jmath.physics.circuits.Component(id, weight=0)¶

Bases: jmath.discrete.Node

connect(neighbour)¶

Adds a neighbouring component

neighbour (Component) - Neighbouring component to add

class jmath.physics.circuits.DCSupply(id, voltage, current)¶: Bases: jmath.physics.circuits.Component

class jmath.physics.circuits.Loop(components)¶: Bases: jmath.discrete.Loop

class jmath.physics.circuits.Resistor(id, resistance)¶

Bases: jmath.physics.circuits.Component

power(current)¶

Calculate power consumption from current

current (float) - Current in amps flowing through resistor

jmath.physics.mechanics module¶

jmath/physics/mechanics.py

Author: Jordan Hay Date: 2021-06-17

Tools for mechanical systems

class jmath.physics.mechanics.PhysEnv¶

Bases: object

Creates an environment for physical objects

Author: Jordan Hay Date: 2021-06-22

add_object(new_obj)¶

Add a new Physics Object to the environment

Parameters: new_obj (jmath.physics.mechanics.PhysObj) – Object to add to environment
Return type: None

increment_time(increment)¶

Increments the time by the given value

Parameters: increment (float) – The amount to increase the time by
Return type: None

class jmath.physics.mechanics.PhysObj(env, position, velocity, mass=0, charge=0)¶

Bases: object

Creates an object with physical properties.

Parameters

env (jmath.physics.mechanics.PhysEnv) – The environment that the object exists in
position (jmath.linearalgebra.vectors.Point) – The initial position of the object
velocity (jmath.linearalgebra.vectors.Vector) – The initial velocity of the object in metres per second
mass (float) – The mass of the object in kilograms
charge (float) – The electric charge of the object in coulombs

acceleration()¶

Calculates the current acceleration on the object

Return type: jmath.linearalgebra.vectors.Vector

electrostatic(other)¶

Calculates the force given by charge between two objects

Parameters: other (jmath.physics.mechanics.PhysObj) – Other physics object
Return type: jmath.linearalgebra.vectors.Vector

force()¶

Calculates all the forces currently on the object

Return type: jmath.linearalgebra.vectors.Vector

gravity(other)¶

Calculates the force of gravity between two objects

Parameters: other (jmath.physics.mechanics.PhysObj) – Other physics object
Return type: jmath.linearalgebra.vectors.Vector

momentum()¶

Calculates the momentum of the object

Return type: jmath.linearalgebra.vectors.Vector

update_position(time=0.1)¶

Increments the position kinematically over a time interval. DOES NOT update velocity.

Parameters: time (float) – The time interval to approximate over.

update_velocity(time=0.1)¶

Updates the velocity kinematically over a time interval. DOES NOT update position.

Parameters: time (float) – The time interval to approximate over.

jmath.physics.mechanics.electrostatic_force(charge1, charge2, distance)¶

Calculates the electrostatic force between two charges

Parameters

charge1 (float) – The charge in coulombs
charge2 (float) – The other charge in coulombs
distance (float) – The distance between the charges in m

Return type

float

jmath.physics.mechanics.gravitational_force(mass1, mass2, distance)¶

Calculates the force of gravity between two masses

Parameters

mass1 (float) – The mass of one object in kg
mass2 (float) – The mass of the other object in kg
distance (float) – The distance between the objects in m

Return type

float

jmath.physics.mechanics.kinematic_position(position, velocity, acceleration, time)¶

Calculates the new position from position, velocity, acceleration, and time

Parameters

position (jmath.linearalgebra.vectors.Point) – The initial position.
velocity (jmath.linearalgebra.vectors.Vector) – The inital velocity.
acceleration (jmath.linearalgebra.vectors.Vector) – The acceleration.
time (float) – The time to approximate over

Return type

jmath.linearalgebra.vectors.Point

jmath.physics.mechanics.kinematic_velocity(velocity, acceleration, time)¶

Calculates the new velocity from velocity, acceleration, and time.

Parameters

velocity (jmath.linearalgebra.vectors.Vector) – The inital velocity.
acceleration (jmath.linearalgebra.vectors.Vector) – The acceleration.
time (float) – The time to approximate over

Return type

jmath.linearalgebra.vectors.Vector

jmath.physics.prefixes module¶

jmath/physics/prefixes.py

Author: Jordan Hay Date: 2021-07-22

SI prefixes, kilo, yotta etc.

jmath.physics.simulation module¶

Module contents¶

jmath/physics/__init__.py

Tools for physical simulations. By default includes mechanics and prefixes.

Default Packages¶

jmath.physics.mechanics: Provides tools for modelling mechanical systems, particularly static systems with gravity and electromagnetism.
jmath.physics.prefixes: Set of SI prefixes used in physics.

Optional Packages¶

jmath.physics.circuits: Circuit modelling based on jmath.discrete. In development. Not provided by default.
jmath.physics.simulation: A graphical approach to kinematic/gravitational/charged system modelling.