Component Vectors
Pythagorean theorem
X2 + Y2 = V2
Determination of direction from component vectors
Dot product
A · B = |A| |B| cosθ
Cross product
A × B = |A| |B| sinθ
Instantaneous velocity
Average velocity
Universal gravitation equation
Static friction
0 ≤ fs ≤ μsN
Kinetic friction
fk = μkN
Force of gravity (weight on Earth)
Fg = mg
Center of mass
Average acceleration
Instantaneous acceleration
Newton’s first law
Fnet = ma = 0
Newton’s second law
Fnet = ma
Newton’s third law
FAB = –FBA
Kinematics (no displacement)
v = v0 + at
Kinematics (no final velocity)
Kinematics (no time)
v2 = v02 + 2ax
Kinematics (no acceleration)
Components of gravity on an inclined plane
Centripetal force
Torque
τ = r × F = rF sinθ