110204-opp - 2/4/11 Physics 122 1 F net a= m kx 2 a= = 0x m...

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Unformatted text preview: 2/4/11 Physics 122 1 F net a= m kx 2 a= = 0x m 2 1dx =x 2 2 0 dt 2/4/11 = 0 t d2x 1 d2x =x =x 2 2 2 d 0 dt x = A sin + B cos x = A sin Physics 122 0 t + B cos 0 t 9 y x = R cos y = R sin = 0t 2/4/11 R x Physics 122 10 2/4/11 Physics 122 11 FS 1 net a= F m a= 2 0 2 0 x x (t ) = A cos( 2 0= T 2/4/11 F net = kx 0 t M FE M Measured from where? k = m ) Interpret! Physics 122 12 2/4/11 Physics 122 13 KE = 1 2 mv ( 1 2/4/11 2 Work = F 2 ) mv = F 2 Physics 122 net net r r 15 U g = mgh 2/4/11 U spr = k ( l ) 1 2 Physics 122 2 16 1 2 mvi2 + U (ri ) = 1 mv 2 + U (rf ) f 2 ( 2/4/11 ( 1 2 1 ) mv 2 + U = 0 2 ) mv + U = F 2 Physics 122 net non cons r 17 FS M FE M Measured from where? E = mv + mgh + k ( l ) 1 2 2 1 2 2 Ei = E f 2/4/11 Physics 122 18 2/4/11 Physics 122 23 a= ( Fynet = T cos mg 1 net 1 F= T + mg m m Fxnet = T sin ) Very little up and down motion. Mostly left and right. The angle stays very small – a few degrees (<0.16 radians) 2/4/11 Physics 122 28 2/4/11 Physics 122 29 a= ( Fynet = T cos mg 1 net 1 F= T + mg m m Fxnet = T sin ) Very little up and down motion. Mostly left and right. ax = ay 1 T sin = m 1 0 = (T cos m 2/4/11 Tx mL T mg g x ax = L mg ) Physics 122 30 ax = ax = g x L 2 0 2 0 x g = L Same as mass on a spring! Just with a different 0. What’s the period? Why doesn’t it depend on m? 2/4/11 Physics 122 31 ...
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110204-opp - 2/4/11 Physics 122 1 F net a= m kx 2 a= = 0x m...

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