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solutionshw305 - icB †HccHQI`H c RgrU—gyS&RoYa ca G...

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Unformatted text preview: icB †HccHQI`H c RgrU—gyS&RoYa ca G F k … fad B Q HT H ‘ ‘ B ‰ f H ‘ Q f‰ u … fad ‘a Q‰ ‰ f H ‘ Q f‰ … G d ca …a †aT c d … ` f [email protected]¦6y„US’˜H et8ƒh W$Vsg¨gf Pl6w T B h c G d Gda d H n G … B ‘ … fad B Q HT H ‘ ‘ B ca Gd H ‡T B n ` B h G F k † G ‘d H Qd c TT ‡ WT’rg‚H ƒC8„qb–B fUpy8CgS’W’UUgoYu•tuVU$l™mH 4l¢RH •’SCSfjiˆ¤•‰ ca h …a Q I c … G d ` B h ca … fad B Q HT H ‘ ‘ B T Bd … f ”a Q Wƒ¤ˆ&gfH „e™(Y˜yY•U—RWU’–g4g•u’ˆ’f “ 7 35 3 1 @Y642 d2 x = Aω 2 2 dt max h ‡T ‡ † … H I HT I ha c G d Q f &ˆ&¤&R4„W¤ƒW‚H [email protected] 9 v6u2 ts' q 75 3 1 5 r i h H Q f H Gd ca ` BXT HTT B Q I G pR[email protected]¦YUWVUSRB PH @F ''' § ! 0)(&% $"¢ ¤¦¨¦¤¢ # !£ ¡     ¡© § ¥£ ¡ T = 2π I = I CM + Md 2 = 1.00 m H ‘ … H Q H ‰‰a ’&R"ˆ&† Dw ¨VA DB ECA A= fmax = µ s n = µ s mg = mA ω T = 2π µs g ω2 = 6.62 cm 9.80 m s2 13 2 = M m 12 M 13 m 2 I 13 m = 2π = 2π = 2.09 s Mgd 12 Mg ( 1.00 m ) 12 9.80 m s2 = 2.01 s 2 1 1 2 2 ML2 + Md2 = M ( 1.00 m ) + M ( 1.00 m ) 12 12 ( µs ) B B P n mg f ( = 2.09 s − 2.01 s = 4.08% 2.01 s ) 9 75 3 1 @8642 1 5 3 1  5 r !642¤es' q d B Gd d … H h H Qa ‡ ¦ H [email protected]&R™’SWuE§Q H C™CWeeg&V¤w yU‘ 8o8¤‚R&v Gd Gda d † H …a h f ca ca Gd … H G k k1 x1 = k 2 x 2 d‘HI`H lU4RmH d ¥ W˜0W¤eˆ R•d –H  i  d BT † Qa Gd c … f d k ’&RgW&t˜gH •gSCS(Yt H ‘ … Bd ca † B † G ‘d H Qd c ca h …a Q I c … uW&S™† RB H … Bd ca † B † H G ‘d H Qd c c U‘ R•SWut˜g¤U•g0S(8a h ˆ&gc ¥ &Wa Q s8su$§H yf •eP’&RgW&† …a Q I h ‡ waTa ‡ ¦ h Q‰ ` H ‘ … B d ca B † H ‘ BT I ca † c c B H Gd … fU’EW$SYb28a c R˜h %CƒH G  ECA DB x1 H n B G H TT B ‘ Q H h [email protected] i ˆUU8a R™&‡  x = − A sin ω t f ¨u’Wgbn &b©H 8a W¤"e† … ¨ d d … HT B a ‡ ¦ c ca Gd f Sc ¥ v = −ω A sin φ = − vmax x = A cos ( ω t + φ ) x = A cos ( ω t + 90°) ¥ c’H—Qˆa E¦§QoW¤4F ‡ H ca G d H GH gBm$nB mPd …£ D B ¦¤ECA x = x1 + x2 ¥ A=2m vmax = ω A t=0 φ = 90° ω= 20 m s = 10 s −1 A x = ( −2 m) sin 10 s−1 t x2 1 5 3 1 642 f & † ’B … k = m ( 50 N m 0.5 kg ( ) = 10 s −1 ) v = −ω A sin ( ω t + φ ) ¡ 95 3 1  ¢Y442 †… ¤RB ca H ‘ Q f 8mlyC‰ h W)y"SyQ H Cd ¥ 0yS’H @–¢gUgWuI Yu† 8a c y™h H Cƒ8¤„d …a Q fd c H G H Q f‰ H Q G F k † H ‘ BT ca c c B Gd G ‘a G ` H ‘ … d ca † Gd i w † d Q fd ca † ca … c G ‘ B H H c B ‘ ca Gd … PU&RB SWutH "„&rRH 0y"SWuoY‚h ˆa Q I fgRe—yU28¤Cƒ¦£ F = − ( k1 + k2 ) x keff = k1 + k2 v = f λ = ( 4.00 Hz) ( 60.0 cm) = 240 cm s = 2.40 m s h Q f Gd …a ca ca G )y"‰ H CƒV(8oW¤4F k h cgcy˜h H d ypy8CgRW’UUgt¤•d 8a e0RH „d B G ‰ f … fad B Q HT H ‘ ‘ B H G c B H Q G i w … H a ca …a Q I Q Gda H … f H Q f‰ G &ƒ’bn bh Y‚h W&gc RH CsyƒymU‘ y"mH 4F † ˆ"Ptd …a‰ H k2 x1 = k1 + k2 x y = ( 0.005 1 m ) sin ( 310 x − 9.30t ) cda … ‡ "8¤&4£  ¡ 1 ¨¤o 591 ¡ 591 ¨¤o m ( k1 + k2 ) k d Gd f gB CP—c Dw ¨VA † ’B … v= ω 9.30 = = 0.030 0 m s k 310 T = 2π T = 2π F = k eff x = ma m ( k1 + k2 ) m = 2π keff k1 k2 kk F1 = 1 2 k1 + k2 x = ma s = vt = 0.300 m in positive x -direction i h ‡ ha ` B p&ƒˆbl™h B 8a gSCgc c c c H Qd H CƒR&ed c &URƒvsEWl$n &ƒˆblƒh [email protected] 8a R&ed Gd … H G Q ‡ ‘ ‘ f ida ‘ fT H h ‡ ha ` B H G F k ida c … H † H G c H Q H G ca H Qa d Gd …a c H n B d H c Q H n … B Qd ‰ f † H H c G 8mSˆePH C™ˆ(RbtSgb0c [email protected] ‚H 4F k ca c c H Qd c HTa c … Hd H G F ca H Qa d Gd …a … fa c … Hd Gd ‰ [email protected] ¥ eYP0VePH C™ˆ˜yV—uy•eH C%C£ T = A ( stress) M m ¤ ¥£ c ySC& c H Qd 591 ¨¤o v= Hd …a haT H •UB VƒVsUeH d ¥ jiUSYguI T H ca ‘ H Q ¢ H Q ‡ c B H h fd dT ‡ ‘a‰‰a † w d G ha da H ‘ …a S&Sygrƒ•¨W&lV"¦V&PH ¨u$V˜h smU&Vu v= F = µ Mg m L i RH "eYrh Va vd ‚H CƒW(Rbtd … Gd ca … Q c Gd …a c H n B ‰’f˜gHU4ISc H G4lk4i Q’B …yVd’•S™† ’B4’UV•0RbtYa &V$&† 4eH "d ’ue¤¤E8a 4eH d †H F fa Bd c … T B ‘ad Q H n c h ‡T ‡ … H I G … H G d D † f Q H I G Gd d f c ‰ f † f fd v8aP‚…y8a¤‡•¤…’U‘˜8aybn—B "vAph …Va Cdg‚H C™ˆ˜yV—uy•eH C6d H g0Q ’0Q x UH ¢ Q c Gd …a … fa c … Hd Gd … c H I H d c h ‡T ‡ … H I Gd ‰ f † fa Q I G 8a uW$&† 4eH "%RƒEsRH PH @F ¡¨¤2 5 9 1 T = 2π L g L= Tg 2π v= T = µ 1 Mg T g Tg = m 2π 2π = v max = T A A ( Stress ) m L = so 7 860 kg m3 2.70 × 10 8 Pa MgL m = Stress m AL = = 185 m s Stress m Volume = Stress ρ f —c ...
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This note was uploaded on 08/31/2010 for the course PHYSICS 7E taught by Professor Staff during the Fall '08 term at UC Irvine.

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