Sections View Full Chapter Figures Tables Videos Annotate Full Chapter Figures Tables Videos Supplementary Content +++ INTRODUCTION ++ Table Graphic Jump Location|Download (.pdf)|Print Force F = ma Weight wt = mag Pressure P = F/A Density ρ = m/V Torque T = Fd⊥ Impulse J = Ft Displacement d = Δ position Velocity v = d/t Acceleration a = Δv/Δt a = (v2 – v1)/(t2 – t1) Equations of constant acceleration v2 = v1 + at d = v1t + ½ at2 v22 = v12 + 2ad Angular displacement θ = Δ angular position Angular velocity ω = θ/Δt Angular acceleration α = Δω/Δt α = (ω2 – ω1)/(t2 – t1) Curvilinear distance s = rΦ Linear—angular velocity v = rω Tangential acceleration at = rα at = (v2 – v1)/t Radial acceleration ar = v2/r Friction F = μR Static friction Fm = μsR Kinetic friction Fk = μkR Linear momentum M = mv Impulse—momentum Ft = ΔM Coefficient of restitution –e = (v1 – v2)/(u1 – u2) Work W = Fd Power P = W/Δt P = Fv Kinetic energy ½ mv2 Potential energy PE = magh PE = (weight)(height) Strain energy SE = ½ kx2 Conservation of mechanical energy (PE + KE) = C Principle of work and energy W = ΔKE + ΔPE + ΔTE Equations of static equilibrium ΣFv = 0 ΣFh = 0 ΣT = 0 Equations of dynamic equilibrium ΣFx – max = 0 ΣFy − may = 0 ΣTG − Iα = 0 Segmental method for CG Xcg = Σ(xs) (ms)/Σms Ycg = Σ(ys) (ms)/Σms Moment of inertia I = mk2 Moment of inertia (local term) Hl = Isωs Moment of inertia (remote term) Hr = mr2ωg Angular momentum H = Iω H = mk2ω Segment angular momentum H = Isωs + mr2ωg Angular impulse Tt = ΔH Tt = (Iω)2 – (Iω)1 Newton’s second law (angular) T = Iα Centripetal force Fc = mv2/r Fc = mrω2 Buoyant force Fb = Vdγ Drag FD = ½CDρApv2 Lift FL = ½CLρApv2 Your MyAccess profile is currently affiliated with '[InstitutionA]' and is in the process of switching affiliations to '[InstitutionB]'. Please click ‘Continue’ to continue the affiliation switch, otherwise click ‘Cancel’ to cancel signing in. Get Free Access Through Your Institution Learn how to see if your library subscribes to McGraw Hill Medical products. Subscribe: Institutional or Individual Sign In Username Error: Please enter User Name Password Error: Please enter Password Forgot Username? Forgot Password? Sign in via OpenAthens Sign in via Shibboleth