Newton's Laws:

• $F_{net}$ = ma = $\frac{dp}{dt}$ [$MLT^{-2}$]
• Impulse: J = F*$delta_t$ = $delta_p$ [$MLT^{-1}$]
• Action = -Reaction (on different bodies)

Friction:

• Static: $f_s$ <= $mu_s$ * N (self-adjusting)
• Kinetic: $f_k$ = $mu_k$ * N (constant)
• Angle of repose: tan(alpha) = $mu_s$
• Angle of friction: tan(lambda) = $mu_s$

Inclined Plane:

• Along incline: mg*sin(theta)
• Normal: N = mg*cos(theta)
• Smooth: a = g*sin(theta)
• Rough (down): a = g(sin(theta) - $mu_k$*cos(theta))
• Rough (up): a = g(sin(theta) + $mu_k$*cos(theta))

Atwood Machine:

• a = (m1-m2)$\frac{g}{m1+m2}$
• T = 2m1m2$\frac{g}{m1+m2}$

Block on Table + Hanging Mass:

• a = $m_{hang}$*$\frac{g}{m_table + m_hang}$ [smooth]
• T = $m_{table}$$m_{hang}$$\frac{g}{m_table + m_hang}$

Elevator:

• Up acceleration: N = m(g+a)
• Down acceleration: N = m(g-a)
• Free fall: N = 0

Spring: F = -kx, k in N/m [$MT^{-2}$]