# Exam_4 - Exam 4 Problem 1(20 pts The Moment of Inertia of...

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Unformatted text preview: Exam 4 Problem 1 (20 pts) The Moment of Inertia of the jet engine’s rotating assembly is 400 kg-mz. The assembly starts from rest. At t = 0, the engine’s turbine exerts a couple on it that is given as a function of time by M = 6500 — 125t N—m. Determine a) the magnitude of the angular impulse exerted on the assembly from t = 0 to t = 205, and b) the magnitude of the angular velocity of the assembly (in rpm) at t = 20. Given: Tar 64464.“, Aﬁwgly/ Ia : z/OOILSM4L/ ﬂaw,” (gOM my; M " éSOO - 125t MM Findza/IlME/«Alﬂr pru’iﬁr @ﬁTZOS 5» 032 @» ﬁ‘r 205 [rpwxj Free Bod Dia ram Solution: 'éL 6‘» ﬂwidvr impoipp 3 5t. 7 [10(4500 — maﬁa“: 45001: — (zit: [2° ” (9500(zov —135CZO§Z 2, :‘HK W Avis/«Uta? .LMPolu. : [05,000 D~M~S quwr NAME(Print)____—____ Period _ 2 Exam 4 Problem 2 (40 pts) The arm and seat of an amusement park ride have a mass of 1.5Mg, with the center of mass located at point G1. The passenger seated at A has a mass of 125 kg, with the center of mass located at G2. If the arm is raised to a position of 6 = 1500 and released from rest, determine the speed of the passenger at the instant 6 = 0". The arm has a radius of gyration of kg] = 12 m and out its center of mass G1. Neglect the size of the passenger. 1‘; 1 ’ ‘r‘a‘B' Given: AMUWJr Park Elatt, M: "5M3/Q 6" PaxLcht’ajr‘r/ M 7 IZ§ 6: (Us Siij 9; 1/500 ngAhﬂ‘C/i Lprom/1 “€54, _ez f 0 Find: 1, K6] : ,ZM VF @ a : O —— S stem Sketch Solution: STATE G O o {X /,+ \/, + Z mi 7: +v1 V' ' W57 "('zﬂwrwmgwnég 680v ‘ Zuzsﬁ M‘M Mme : W7 ’- (1500 129(9yIM/xyc/M WAGE ‘ 509%.; MM w -— way =<Isooocmw m _ : “553861) N~M M L VLKW T way z (/15 Ko5\(q.g| /\$3<VZOM\ LIM =~Z¢//52_.5 )\)vM W‘l Era! :ZLIBCA?’ agrf5lesz+M0lL 14m DE ‘L 7. L Z[</5OOL0§(IZM§ + ([500 ILL?ch O) = 120,000 col WP OK 210.000 - ' z I 7— L f ' » ZM’VCI+ZJ—’eoo QrIGVMLG JVGI,QFI rng £17560" éM’Vc: ' £015,483 VG: <51“ IVGP = 00F r" '- ZOM 2. ' é (awakmcwwﬁ — “32— IOVC NAME(print) period ______ 3 DATUM Exam 4 Problem 3 (40 pts) The 100-lb uniform rod is at rest in a vertical position when the cord attached to it at B is subjected to a force of P = 50 1b at the instant in time shown in the ﬁgure. Determine the rod’s initial angular acceleration and the reaction forces that pin A exerts on the rod. Neglect the size of the smooth peg at C. Given: ()W,(;DrM rod (:00!5\ sac/L9 @3 ﬂy? I T?»- {orb Find: a I Ax 1A7 S stem Sketch Solution: J Ff " Mté‘ﬁt c/ Af*?P:MO\6 at=dr ,4 J, : Inc/b t 5(50‘Q (’33V21{45<0L)(3M§ (D At + 0/0 = “not gf’n 1 VV\ (0&va An +%va=~mm awoor ax A4 an.» inshw‘, ab: 0 ——————-——-'—\ An: —%(5o:®+(loong3 =31I4vt= 7’0le ZMA=IA0t 9W 1.4:?le gmwzmop (3M)( 35118 = é M21 at on (3M5(%P§=iao< +6qu cz-M»(%}Eo®= «xx/5w?“ = 16: i My , at». m lw= 317cm ‘ ' 12.0 : 9.32? cg + 2?.950g !0V 3.11 “4/54 0(3 321 h new G) OTC Ag: 93.73.2340 ‘— ZMG " 106* —A\L_ (3M\ " :edx IGTTLPN‘Q @ _ 3m —_ 9.3!?m :66: /zuv\\L 0k :311 NAME(print) Period 4 Ax"’©lb 7 ...
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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_4 - Exam 4 Problem 1(20 pts The Moment of Inertia of...

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