1 Kinematics & Dynamics Flashcards
linear motion
velocity and acceleration along line of motion (one-dimensional)
linear motion equations
VAT:
v = v(0) + at
VAX:
v^2 = v(0)^2 + 2ax
TAX:
x = v(0)t + (at^2 / 2)
average velocity with uniform acceleration
x = vt
projectile motion
2-dimensional motion
motion in each plane analyzed independently
projectile motion equations
v(y) = v sin(theta) v(x) = v cos(theta)
inclined planes
one-dimensional, but not in the same direction as largest force (gravity)
F(parallel) = mg sin(theta)
F(N) = mg cos(theta)
if angle of incline is known
circular motion equations
F(c) = mv^2 / r a(c) = v^2 / r
dynamics =
forces and torques
DRAW FREE BODY DIAGRAMS
translational equilibrium
vector sum of all forces = 0
constant speed and direction (velocity) NOT sitting still
rotational equilibrium
torque (instead of force)
equal and opposite torques
pivot point = fulcrum
T = rF sin(theta)