Physics’1210’ Spring2016’ Prof.’Jang2Condell’...
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Physics 1210 Spring 2016 Prof. JangCondell Equation Sheet For Exam #2 v avg = x 2 − x 1 t 2 − t 1 = Δ x Δ t a avg = v 2 − v 1 t 2 − t 1 = Δ v Δ t a rad = v 2 R = 4π 2 R T 2 x 1 = x 0 + v 0 t + 1 2 at 2 v 1 = v 0 + at v 1 2 = v 0 2 + 2 a( x 1 − x 0 ) v = d r dt a = d v dt F ∑ = m a w = m g f s ≤ μ s N f k = μ k N f = kv f = Dv 2 f spring = −kx Work/Energy W = F ⋅ s = Fs cosθ W = ΔK K = 1 2 mv 2 U spring = 1 2 kx 2 U grav = mgy P = ΔW Δ t = F ⋅ v F = − dU dx Momentum/Impulse p = m v K 1 + U 1 + W other = K 2 + U 2 J = Δ( mv ) = F Δt x cm = m i ∑ x i m ∑ i Angular Motion Kinematics θ 1 = θ 0 + ω 0 t + 1 2 α t 2 ω 1 = ω 0 + α t ω 2 1 = ω 0 2 + 2α ( θ 1 − θ 0 ) I = m i r i 2 i ∑ I = I cm + Md 2 ω = d θ dt α = dω dt s = r θ v = r ω a tan = r α a rad = ω 2 r 2π = 360 g = 9.80 m/s 2
Transcript of Physics’1210’ Spring2016’ Prof.’Jang2Condell’...
Physics 1210 Spring 2016
Prof. Jang-‐Condell
Equation Sheet For Exam #2
vavg =x2 − x1t2 − t1
=ΔxΔ t
aavg =v2 − v1t2 − t1
=ΔvΔ t
arad =v2
R=4π 2RT 2x1 = x0 + v0t + 1
2 at2 v1 = v0 + at v1
2 = v02 + 2a(x1 − x0 )
v = drdt
a = dvdt
F∑ =ma
w =m g fs ≤ µsN fk = µkN f = k v f = Dv2 fspring = −kx
Work/Energy W =
F ⋅ s = Fscosθ
W = ΔK K = 12mv
2 Uspring = 12 kx
2 Ugrav =mgy
P = ΔWΔ t
=F ⋅ v
F = − dUdx
Momentum/Impulse p =mv
K1 +U1 +Wother = K2 +U2
J = Δ(mv) = FΔt xcm =mi∑ xim∑ i
Angular Motion
Kinematics
θ1 =θ0 +ω 0 t + 12α t
2 ω1 =ω 0+α t ω 21 =ω0
2 + 2α (θ1 −θ0 )
I = miri2
i∑ I = Icm +Md
2
ω =dθdt
α =dωdt s = rθ v = rω atan = rα arad =ω
2r 2π = 360
g = 9.80 m/s2