110204 - Physics 122 2/4/11 2/4/11 1 Physics 122 F net m kx...

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Physics 122 2/4/11 Prof. E. F. Redish 1 2/4/11 1 Physics 122 2/4/11 9 Physics 122 a = F net m a = ± kx m = ± ² 0 2 x 1 0 2 d 2 x dt 2 = ± x ± = 0 t 1 0 2 d 2 x dt 2 = ³ x ´ d 2 x d 2 = ³ x x = A sin + B cos x = A sin 0 t + B cos 0 t 2/4/11 10 Physics 122 R x y ± x = R cos y = R sin = 0 t
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Physics 122 2/4/11 Prof. E. F. Redish 2 2/4/11 11 Physics 122 2/4/11 12 Physics 122 F S ± M F E ± M a = 1 m F net F net = ± kx a = ± ² 0 2 x 0 2 = k m x ( t ) = A cos( 0 t ± ³ ) 0 = 2 ´ T Measured from where? Interpret! 2/4/11 13 Physics 122
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Physics 122 2/4/11 Prof. E. F. Redish 3 2/4/11 15 Physics 122 2 2 1 mv KE = r F net ± ± ± ² = Work (29 r F mv net ± ± ± ² = ± 2 2 1 2/4/11 16 Physics 122 U g = mgh U spr = 1 2 k ± l 2 2/4/11 17 Physics 122 1 2 mv i 2 + U ( ± r i ) = 1 2 mv f 2 + U ( ± r f ) ± 1 2 mv 2 + U = 0 ± mv 2 + U = ± F non ² cons net ³± ± r
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Physics 122 2/4/11 Prof. E. F. Redish 4 2/4/11 18 Physics 122 F S ± M F E ± M E = 1 2 mv 2 + mgh + 1 2 k ± l (29 2 E i = E f Measured from where? 2/4/11 23 Physics 122 2/4/11 28 Physics 122 ± a = 1 m ± F net = 1 m ± T + m ± g F x net = T sin ± F y net = T cos ² mg Very little up and down motion. Mostly left and right.
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110204 - Physics 122 2/4/11 2/4/11 1 Physics 122 F net m kx...

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