Mechanics
An object in motion stays in motion unless acted on by another force.
What is Newtons First Law
This measures the instantaneous rate of change.
This tells whether a statement is true or not
What is a proof?
This system represents systems where dimensions are negligible
What is a point mass system?
A method to verify equations by matching units.
Dimensional Analysis
Force = Mass times this
What is Acceleration
This is the area under a curve
What is an integral
A statement proven through logic.
What is a theorem
Representation of a system where dimensions are not negligible
What is a free-body diagram.
Imperial unit of Mass.
What is a slug?
This quantity is conserved in an isolated System
What is Momentum
Function that equals its own derivative and integral
What is ex
What is a linear manipulation?
A force spreads across a body.
A unit so small that it is almost always scaled by 1 million.
What is a pascal?
Kinematics
The theorem links derivatives and integrals
What is the Fundamental Theorem of Calculus
A mathematical representation of complex systems.
Permanent change in an object due to an external force.
What is plastic deformation?
This unit measures “radioactive decay activity,” but sounds like a villain power level
becquerel
Acts on a lever arm in rotational systems.
What is Torque
Most direct test for convergence.
What is the Ratio Test.
The behavior of an equilibrium point and the area around it.
What is stability?
Internal force that acts parallel to the surface of measurement.
What is shear force?
A dimensionless group that compares inertial forces to gravitational forces in open-channel flow
What is the Froude number?