LEVEL 3 ENGINEERING PRINCIPLES – DYNAMIC SYSTEMS EQUATIONS Linear Equations of Motion Subject
Equation
Variables and Units
Displacement
đ?’” = đ?’—đ?’•
s = displacement in meters (m)
(đ?’– + đ?’—) đ?’• đ?&#x;?
đ?’”=
đ?&#x;? đ?’” = đ?’–đ?’• + đ?’‚đ?’•đ?&#x;? đ?&#x;? Velocity
đ?’—=
v = final velocity in meters per second (m/s) t = time in seconds (s) u = initial velocity in meters per second (m/s) a = uniform acceleration in meters per second squared (m/s2)
đ?’” đ?’•
đ?’— = đ?’– + đ?’‚đ?’• Velocity 2
đ?’—đ?&#x;? = đ?’–đ?&#x;? + đ?&#x;?đ?’‚đ?’”
Acceleration
đ?’‚=
đ?’—−đ?’– đ?’•
Newton’s Second Law Equation Subject Sum of Forces Acting on Object
Equation đ?‘ = đ?’Žđ?’‚,
đ?’˜đ?’‰đ?’†đ?’? đ?’‚ ≠đ?&#x;Ž
Variables and Units F = force in Newtons (N) m = mass in kilograms (kg) a = acceleration in meters per second squared (m/s2)