Phys220_Formulae

Phys220_Formulae - FORMULAE FOR INTRODUCTORY NEWTONIAN...

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FORMULAE FOR INTRODUCTORY NEWTONIAN MECHANICS Kinematics Average velocity: v ave = Δ r / Δ t Instantaneous velocity: v = d r /dt Average acceleration: a ave = Δ v / Δ t Instantaneous acceleration: a = d v /dt Constant acceleration: Δ x(t) = x(t) – x 0 = v 0 t + (1/2)at 2 = (1/2)(v 0 +v)t v(t) = v 0 + at v 2 – v 0 2 = 2a Δ x Uniform circular motion w/ radius r, period T: Angular speed: ω = 2 π /T Tangential velocity: |v tan | = 2 π r/T = ω r Centripetal acceleration: |a cent | = v tan 2 /r = ω 2 r Newton’s 2 nd Law: Σ F = m a Weight: W = mg Static friction: f S μ S |N| Kinetic friction: f K = μ K |N| Impulse: I = F dt = F ave Δ t Linear momentum: p = m v Impulse-Momentum theorem: I = Δ p Newton’s 2 nd Law: F ext = d P tot /dt Center of mass : r com = (1/M tot ) Σ m i r i Center of mass motion: v com = P tot /M tot , a com = F ext /M tot Work (general): W = F dr Work (constant force): W = F ⋅Δ r = F || Δ r =F Δ r || = F
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