The internal energy u and temperature t are

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Unformatted text preview: net ⋅ ds = ΔK o • Wtot = Wtot net ⋅ ds = ∫F tan So for a constant torque o Wtot = τ (θ 2 − θ1 ) = τΔθ R dθ = ∫ τ dθ 18 Physics 1001 Notes • Note that for ( α =const) : o τΔθ = IαΔθ o o o 2 ω 2 = ω12 + 2αΔθ 2 2 Or Δθ = (ω 2 − ω1 ) / 2α 1 2 2 So Wtot = I (ω 2 − ω1 ) 2 = ΔK o o The rotational work- KE theorem Angular momentum • Angular momentum L is defined as o L= r x p = r x mv For motion in the xy- plane: L = mvr sin θ = mvl o l = r sin θ is perpendicular distance to origin L depends on the choice of the origin • For circular motion v = vtan • • o • • Lz = mvr For a rigid plane body of particles rotating o ⇒ sin θ = 1 so Lz = ∑ mi vi ri = (∑ mi ri 2 )ω z = Iω z o For which is the counterpart of p=mv For a non-...
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