LAWS OF MOTION & FRICTION
                            │
          ┌─────────────────┼─────────────────┐
          │                 │                 │
   NEWTON'S LAWS      FRICTION TYPES    APPLICATIONS
          │                 │                 │
   ┌──────┼──────┐    ┌─────┼──────┐   ┌─────┼──────┐
   │      │      │    │     │      │   │     │      │
 1st    2nd    3rd  Static Kinetic Roll Lift  Bank  Road
 Law    Law    Law    f_s    f_k    f_r        ed
  │      │      │     │      │          │      │
Inertia F=ma  A-R   Self-  Fixed   Apparent  tan θ
        dp/dt  pair  adjust μ_k N  weight   = $v^{2}$/rg
          │      │     │
      Momentum  Diff  0 to
         p=mv  bodies μ_s N
          │
      Impulse
      J=F$\Delta t$=$\Delta p$
          │
    Conservation
    m_{1}u_{1}+m_{2}u_{2}
    = m_{1}v_{1}+m_{2}v_{2}

Atwood Machine Branch

Atwood Machine
     │
  ┌──┴───┐
  m_{1}    m_{2}
  (>)   (<)
  │      │
  a = (m_{1}-m_{2})g   T = 2m_{1}m_{2}g
      ─────────       ────────
       m_{1}+m_{2}          m_{1}+m_{2}

Centripetal Force Branch

Circular Motion
     │
     F_c = m$v^{2}$/r
     │
  ┌──┴───────────┐
Level road     Banked road
  │               │
μmg = m$v^{2}$/r   tan θ = $v^{2}$/rg
  │
v_max = √(μrg)