Newton's Laws:

• F_net = ma = 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)g/(m1+m2)
• T = 2m1m2g/(m1+m2)

Block on Table + Hanging Mass:

• a = m_hang*g/(m_table + m_hang) [smooth]
• T = m_tablem_hangg/(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}]