emch212_Midterm1

emch212_Midterm1 - Problem 1 (33 pts) A man standing on top...

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Unformatted text preview: Problem 1 (33 pts) A man standing on top of a tower throws a ball, P, from A with an initial velocity, v0 = 20 ft/s. Using h = 80 ft, ,8 = 53° and 0 = 27°, determine the x andy coordinates of the point, B, where the ball strikes the slope. SW; 302 dowgbr 60mg: (0 51—2—%3 2 mt - (2) m1_m ball. melt BMW t2tg'WLd: Luz-O MM W '1— New: N703: “00/09? ~-(~°’) "*6: VOW “5 ’°"> t3" Lima w mm W Waimm; 09%») 2 V0 A‘unffi— . . (5) , ag=r+vom§tvzat§ we) 2 h+y96M€<i§w _ toga/009‘ : k + 9(ng .— 00%»th Fm (Mud Feud: Wm Aqua) 39%., W9 Am“) 33" ibmgi "“(8) (WM W (’1'), we Wk) mews , A” 13mg»15‘%_~__~ (FF) VOQdoLco/‘lfil' a. m, org—t Qan4993&{me-mejm- MM 0 9‘) 91:4 Mgwysfimavlmsfli § axflolxwggong so - ~ (9 31-1. L ) M" We: r q we of N w “‘65”? W” 103 Problem 2 (32 pts) A block, A, moves outward along the slot in the rotating platform with at a rate of (4:) m/ s, where r is in seconds. The platform rotates at a constant angular velocity u) = 6 radfs. The block starts from rest at the center at I = 0 3. Determine the magnitudes of the velocity and acceleration of the block for: = 1 s. gMW : 1/09: Mi. WM A «h Lit w/s 04 ' 0H 2 Lit new has, vrafix’l’m 2 or m «r : w.le Am a z 9 2rd .. 9— A A3“ T 3}“) [51:60”) V’s * Ll W3L Q» 7- LC) '2 amt '8': E} veins-Veg or in max cam-rm bar of wwvéG—g At t: is) JA 2 {in + (axe) ugh/g “(it +l‘lUs Ms Jaw "Ilka Egg/L11 +111. W’s : 11-94511 git-99 Co + m9] We? all—flat = as“ + 99L Ms 2 95:33—46: rel/5%”. Problem 3 (35 pts) 12, fir Two airplanes A and B are flying side by side along straight paths at a constant speed of 900 km/ h . Maintaining this speed, A begins to travel along the spiral path r = 1500 0 km, where 6 is in radians, whereas B continues to fly along the straight line. For r = 750 km, find the following: 1. 6 in radians . . B 2. r 1n km/h 3. éin radians/h 4. 17A and 53 in km/ h expressed in 12,429 component system 5. {SA/B in km/h expressed in 17,429 component system __. \ _. Y SW. (1) mm H qsom, 96. 50 = flwzjogwA ,m _______ 1 [5-00 (2) v : 56:0) 2 $05609) W74,L ;‘fl5009]l<wx/lc » -- (2) . WOW: of O ) UCLA we W port/CZ (3) ~ {A 2 Y [11 —— . r v v A '“ u- lMY’zWDOB W 2 Y Uw Jr Y9 (:9 2 [(57909 uy+650099fl93bflik / 5W3 “1"” - Hm) Hen“) 9A = (EM 2 Wsflagggééf mm: ESOOGJWS’flkJ/wlk - — '(F) amt no, Koch'Wyoib'O- 9*; 8 2 300%.,“ mad/x 1500 J HE)” : L , (L9 U”? 0““ (Ll), 6A2 [mérafieagflwr . P‘SUon‘mw-at [W +05% lkm/k. (05mg aqn(l)) _ :_ 805.05 (11+ Moi-595% LMA/flA- F NH) -...,,W ........... ,. \ Mum, L359= Afigq-ggqu’iwum'qu fig] kM/h’_ Hm) . (at) - 6N3: 7 an '” are A. 'UA' T- 805-05~?86]-229)LL“;+[q01'52§+H31'H£3)a31V-M,k ea???) A _W__,_:Wm._w,.m M 01qu ._—,. 659% (M- + Esq-cog m9) I‘M/an] I ...
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emch212_Midterm1 - Problem 1 (33 pts) A man standing on top...

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