Ch. 11 Key Equations - University Physics Volume 1 _ OpenStax.pdf

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Unformatted text preview: 2020/12/7 Ch. 11 Key Equations - University Physics Volume 1 | OpenStax Key Equations Velocity of center of mass of rolling object vCM = Rω Acceleration of center of mass of rolling object aCM = Rα Displacement of center of mass of rolling object d CM = Rθ Acceleration of an object rolling without slipping Angular momentum Derivative of angular momentum equals torque For a system of particles, derivative of angular momentum equals torque Angular momentum of a rotating rigid body Conservation of angular momentum dl ⃗ Precessional angular velocity = ∑ τ ⃗ ⃗ ⃗ ⃗ ⃗ L = l1 + l2 + ⋯ + lN ⃗ dL dt = ∑ τ ⃗ L = Iω ⃗ dL dt Conservation of angular momentum m+(ICM /r2) ⃗ l = r ⃗ × p⃗ dt Angular momentum of a system of particles mg sin θ aCM = = 0 ⃗ ⃗ ⃗ ⃗ L = l 1 + l 2 + ⋯ + l N = constant ωP = rM g Iω 1/1 ...
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