Introductory Physics - Systems of Linear Equations

Flashcards covering key vocabulary and concepts in systems of linear equations as applied to introductory physics.

System of Linear Equations

A collection of linear equations that can be solved together to find the values of unknown variables.

Unique Solution

A condition where a system of equations has exactly one set of values for the unknowns.

Coefficients

The known numerical factors that multiply the variables in a linear equation.

Homogeneous vs Non-Homogeneous

Homogeneous equations are equal to zero; non-homogeneous equations have a non-zero constant on one side.

Free Body Diagram

A visual representation of all the forces acting on an object, used to solve for unknowns.

Newton's Second Law (N2)

States that the net force acting on an object equals the mass of the object multiplied by its acceleration.

Graphical Interpretation

In a system of linear equations, the solution corresponds to the point where the lines intersect on a graph.

Negative/Positive Coefficients

Indicates the direction and nature of the relationship between variables in a linear equation.

Condition for Unique Solution

An equation that, if satisfied, indicates the system has a unique solution, e.g. A1B2 - B1A2 ≠ 0.

Acceleration

The rate of change of velocity of an object, often denoted as 'a' in physics equations.

Tension (T)

The force exerted along a rope or string when it is pulled tight by forces acting from opposite ends.