A Physics Toolbox


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What is a Force?

Discovery or invention?

 

Force is a tool we can use to predict motion 

(...which includes deformation)

Free body diagrams


These are diagrams used to identify and simplify the forces acting on something...

Free Body Diagrams


...a tool to simplify complex systems into a few resultant forces

Newtons Second Law

The alteration of motion is ever proportional to the motive force impressed; and is made in the direction of the right line in which that force is impressed
The change of momentum of a body is proportional to the impulse impressed on the body, and happens along the straight line on which that impulse is impressed 


Moments


Moments

...take into account the position of forces

...tell us if something is going to rotate





How do we figure out where gravity acts from on a complex shape?



So...

  1. Free body diagrams show us the forces (we need to find the CoM to do this, and we need to identify any moments in the system)
  2. Forces (with mass) give us the acceleration 
  3. Acceleration allows us to predict the motion using... 

Equations of Linear Motion (or SUVATs)

Linear Motion means constant acceleration - this is our assumption we always need to keep this in mind!

  • s = displacement
  • u = initial velocity
  • v = final velocity
  • a = acceleration
  • t = time

 




Aerodynamic Forces


Lift = Coefficient of Lift x (Density of Air / 2) x Wing area x Velocity x Velocity

Drag = Coefficient of Drag x (Density of Air / 2) x Wing area x Velocity x Velocity

Aerodynamic Coefficients


Usually the coefficients are found either from experiment or simulation


Lift Curves




...the drag force changes with velocity so acceleration is not constant

 

A Physics Toolbox

By Sean Walton

A Physics Toolbox

In this lecture we will discuss some basic tools from physics which will help your design process.

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