EXAM_1 - Name: 2 Feb 11 EM232 Exam 1 PROBLEM 1: 30 Points...

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Unformatted text preview: Name: 2 Feb 11 EM232 Exam 1 PROBLEM 1: 30 Points Given: The boy at A attempts to throw a ball over the roof of a barn such that it is launched at an angle 9A = 40°. Determine the minimum speed VA at which he must throw the ball so that it —- reaches a maximum height at C. Also, find the distance d where M % Illl‘ l. the boy must stand so that he can make the throw. llllllll 'lll' FIND: lysfiwwg at I. m;le gpwal ’Vn SOLUTION: S stem Sketch: fa. F c, y X“ 0 X; '- (‘I +al)M 76 : [M V V c Y; -' gym 0 ‘ A e H0 V4 ; O {a O 7’ V4, ’er f4; -' t Ajulp'ch, bif‘tt‘ltOt/t , Y “’71 V“: * Z“ (Y ‘73 O = (’VA 5m 4031+ 2 (» 9.3: “74X 8 - DM L y :yo «v01t +iloét l’VA = in: M/S it! + 1? z; 5:.«0103fiécasfit? 0 ~ “4'405t1+ll.?l8t — ;L ’Vy = Iva, +act o: ’5 “2.33t+/.c/z O= (+—/./Q>Z t:/,/¢r C) ‘- ()8 zz‘M/Dgim (405 + (4.8! “AT-3t { L I. l‘l 5 Horv'zov‘ll'bxl binge-HOV! X '- Xc. +’Voflf (4%).“ 0 + (mum/5405 (LIQOMQ al= lZ.éMl Name: 2 Feb 11 EM232 Exam 1 PROBLEM 2: 35 Points Given: A car on a roller coaster travels over the hill with a constant velocity of v = 3 m/s. At point A the speed of the car increases at 34 = (6 — 0.06s) m/si. Determine the magnitude of the acceleration when the car reaches point B where $3 = 40 m. / /.r/'J .- ‘V t v \. KM FIND: )3?! @ 5%». 40M SOLUTION: 0w '- (é—ooes) ads : vdv LION , 4, lo 0-0.0!»st =f Vol’V 3‘75 LIOM és — GOSSSZiO = 11‘ V 1. 3’75 7. 0M : L a ti; (/0 : (é-o,o¢(i,om\\) P z a (16.52 ‘75:) at mug; (mew) a": if an 0’0 “751 (0 \ L z ixiw aiz l O‘V ? / p (00 X , )0?) r 3'5} mm? :5” :7 3'1] - 3,0 dx x 30H ~ 50 ‘5 : M L Z 3/2 P- [I + (if; j \k‘ Name: 2 Feb 11 EM232 Exam 1 PROBLEM 3: 35 Points Given: The slotted arm AB drives pin C through a groove described by equation 1' = (1.50) ft , where 0 is in radians. If the arm starts from rest when 9 = 7r/3 and is driven at an angular velocity of 9 = (4t) rad/5 , where t is in seconds, determine the radial and transverse components of velocity and acceleration of the pin C when t = is FIND: VO/Vr/Aerar @ 151,5 SOLUTION: System Sketch: F ’ 1.56 r ' LSé F 1.5%). 6 ‘ (4f) éw/ 9119 alt 9 . ‘ 94, i:de {tacit (9W tg~o Me’re :>’Ve'l?31 /5 3 5 , e e ’Vr" => ’\/r~ éP/j 57g if L/t 041:— u . 0 ae' L 9-1:}:17: byway/5‘ 7. W Z a L T ar : r a r9 : Zf 4—,— 3 Oxr z'éq’.zg£%z 6:305FM r=45343+ S'O/W/s °- (OZQfl/s ...
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This note was uploaded on 02/09/2012 for the course MECHANICAL EM232 taught by Professor Zollars during the Spring '11 term at Naval Academy.

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EXAM_1 - Name: 2 Feb 11 EM232 Exam 1 PROBLEM 1: 30 Points...

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