13.07.2015 Views

Chapitre 10 Rotation d'un corps rigide

Chapitre 10 Rotation d'un corps rigide

Chapitre 10 Rotation d'un corps rigide

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a) L’accélération linéaire du bloc :• Translation : ∑ F m= ( T − mg)j = −maj(1) T = m g − a( )• <strong>Rotation</strong> : τm= τ + τ ∑= 0 + RT sin 90°= IαP T(2) RT = Iαa• L’équation (1) dans (2), avec α = :R(2) RT = IαaR m( g − a)= IR⎛ I ⎞R m g = a⎜+ R m⎟⎝ R ⎠⇒a = −4,90ms2jb) T = ± m( g − a) j = ± 9,80Njc)2 2 v = v0 + 2a ∆y ⇒ v = −1,98 m ijs#59) Cylindre plein :cylindre : M , R etω0 =0plan à θhf sN a +P yθx25

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