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Formula Sheets / Physics

Chapter 5

Laws of Motion

Revise with flashcards Download this chapter (PDF) All Physics formulas (PDF)

Newton's laws Friction Pulleys, constraints and pseudo force

Newton's laws

$F = \frac{d p}{d t} = m a,$ $J = \int F d t = Δ p$
Lift
apparent weight $= m (g + a)$ going up with $a;$ $m (g - a)$ going down

Friction

$f_{s} \leq μ_{s} N,$ $f_{k} = μ_{k} N$
Angle of repose
$tan θ = μ_{s}$
Block on an incline
$a = g (sin θ - μ_{k} cos θ)$ sliding down

Pulleys, constraints and pseudo force

Atwood machine
$a = \frac{( m _{1} - m _{2} ) g}{m _{1} + m _{2}},$ $T = \frac{2 m _{1} m _{2} g}{m _{1} + m _{2}}$
Pseudo force
$F_{pseudo} = - m a_{frame}$ (in an accelerating frame)
String constraint
$\sum T \cdot v = 0$ (inextensible strings)

Motion in Two Dimensions Circular Motion