hw2_soln

# hw2_soln - CE 2460 Summer ’06 1 1.33 The velocity of a...

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Unformatted text preview: CE 2460, Summer ’06 1 1 .33 The velocity of a slider is deﬁned by the relation 1) = v’ sin(mnt + (M. Denoting the velocity and the position of the slider at t = O by 05 and x0, respectively, and knowing that the maximum displacement of the slider is 2x0, show that (a) v’ = (DO + xgwiﬂlrown, (b) the maximum value of the ve— locity occurs when x = x0[3 - (DO/xown)2]/2. (a) 'V: 0’" Shit/Wm) :37 £29.. 2 a“ gm {wn.é+ﬂ?:> at: Jdt : fa” Qamwmtm’ﬁt .2; £0 0, / {[3 a 5 2535.519an M) \_ 156%730 : * U“ Oosuontw; M [9mm 3 “ ‘~ g r:- gﬂmh O OH: WA LOW uxttlﬁ‘to 5 “9120st K‘ﬁﬂ—wg/éj ,0 99.3“, P {1(6) Whéﬂ? 0/1 ._, {jag :0) we “W3 (Wig—A =£¥Q "m (3), we have £1 i/Mﬁo ' (jg) «: Vggﬂjﬁ/ 3 70 “C3 ., t i ’ A; 1 (272+ [aft—:5 {g'}2£Wﬂjr«%1+[%o Mat”? 42. "2 , g ‘ I Oaklewnﬂw + age are/>969 Got” J 11.33 Steep safety ramps are built beside mountain highways to en— able vehicles with defective brakes to stop safely. A truck enters a 750—ft ramp at a high speed 00 and travels 540 ft in 6 s at constant deceleration before its V speed is reduced to 00/2. Assuming the same constant deceleration, deter— a mine (a) the additional time required for the truck to stop, (I?) the additional distance traveled by the truck. 00 / Fig. P1138 e Al: 694560446 d»€c€levalioﬂ J .\ . 6 @W a l -th V605) 2» D}, + tax Mg) =9 9; : 00+ a. bug) 4130 gas) = walla 1— M (65“) c2 \ ~« _ l)” 36%;!) :37? : /20 5.: a 5'40 56}: WW] ’ 5“ (s) . When brwck stops \U’Clﬂ-TOJ @ l (Lb : 16M? :76; “g3 :lQZS) W U0 T“ a l,» mammal time : /2(§)~6(\$l‘l5@}l I l ')22 £2) . When Hulda Slipfgg/ ’ Sﬂgg): JOX/g/g) {—qu ( = \$20 [3(6) :SC§2§>~§{5I) ‘ ‘ SLéY v5,in .3 {:3 it; 3 O :37 O 00 fix '-a , g i fix" U” :lgklﬂ;tﬁ2ﬂv «264m: 2%” lat»: “7'3; K H70 7’5” 60x60 S _ . “i , '3. : 44lﬂig—Qb +. jargggj , (7 11.42 Automobiles A and B are traveling in adjacent highway-lanes and at t = 0 have the positions and speeds shown. Knowing that automobile A has a constant acceleration of 0.6 m/s2 and that B has a constant deceler— ation of 0.4 m/52, determine (a) when and Where A will overtake B, (b) the speed of each automobile at that time. (“Ale = 15 kin/l1 W (Uglo = 23 km/h Fig. P11.42 «5% Udubht 8/ 10B : £5le Ct Lﬁétl L 72,05 , .2 173...?“ “‘3 3 aZS‘CM} 4’6‘gélif12'jlf: 0 (33*) m V? ¥ ’2‘ ’ “913/, \§3 / o F?) gaze... at fa"; .;?§;+0§e fa} 5/ CL ‘ ‘5‘51’tl’eéteggg /25 :g/gaég £5 E W W (sf/“’3? .‘m f. 2222 {22-113L+4x2 SOﬁfi‘fggeaé). MW” ...
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## This note was uploaded on 03/22/2012 for the course CE 2460 taught by Professor Moorthy during the Fall '08 term at LSU.

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hw2_soln - CE 2460 Summer ’06 1 1.33 The velocity of a...

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