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ω = d θ / dt

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ω = d θ / dt

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α = d ω / dt

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v = (dθ/dt) × r = ω × r

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¶µÛ½è¤ßÂ઺ÂI¡A¨ä¨¤¦ì²¾¥i¥Ñ©tªø s ¤Î ½èÂI»P¶b¤ß¶ZÂ÷ r

s = θ r ¡]©tªøµ¥©ó¨¤«×­¼¤W¥b®|¡^

 

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ds/dt = r dθ/dt

v = ωr

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v = ω× r

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p = mv = m ω r

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P = Sigma pi = Sigma mi vi = Sigma mi omega ri

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a = α r

a = r × α¡]¦V¶qªí¥Üªk¡^

±`¨ã¯S¨Ò¡G§¡¤Ã¶ê©P¹B°Êªº¦V¤ß¥[³t«×¬O a = v2/r¡A ®M¥Î v = ω r ªº¤½¦¡¡A´N±o¨ì a = ω2/ r

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at = α r

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ar = ω2/ r

 

 

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K = Σ (1/2) mi vi2

¦¹®É v = ωr

K = Σ (1/2) mi vi2 = Σ (1/2) mi(ωri)2 = (1/2) ω2 [ Σmi ri2 ]

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I = Σmi ri2

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K = (1/2) I ω2

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I = Σmi ri2

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I = ∫r2 dm

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I = Icom + M h2

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¤O»P¤O¯x

¦A¦¸¥Ñ½èÂI¨t²Î¥Xµo¡A±q F = ma ¦³ Ft = m at

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τ= (r) (F sin (φ) ) = r Ft = (r sin(φ)) F

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τnet = I α

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Ft = m at

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τ = r Ft = r m at

= r m (α r) = mr2 α = I α

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Δ K = Kf -Ki = W = ∫ τ d θ

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W = ∫ τ d θ

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W = τ(θf - θi)

 

 

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