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mae2323summer09test1

# mae2323summer09test1 - 1 The lunar module descends to the...

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Unformatted text preview: 1. The lunar module descends to the moon’s surface under retrothrust. At a height of 5 meters, it is traveling at 2 m/sec downward. At this point, the engines are cut off abruptly and the vehicle falls freely to the surface. If the lunar acceleration due to gravity is one sixth that of earth, determine the impact velocity at which the vehicle will land. A ': J— : (VOL! Q 66} air .§ v - fjﬁaﬂala ; [Vow 0 Z mask) :: iii/V: 2;} Z— ahara?) 2 V -r L! V1: LIL—{— 2(3475‘) L: 20.3? V 1 4.9” [M/m] » _ 2. The collar A slides on a circular bar as shown. the radial position is given by r = 2 cos 9. At the instant shown, 6 = 25° and dB/dt = 4 rad/ sec and is constant. Determine the radial and transverse components of the velocity and acceleration of the collar in polar coordinates. y Ma r: 2co59_ Q»: —2\$-¢'n96' .. z (1039 61-— ZSﬁ—ie 9. ‘3: H 0 \fr :3 2 SM 25: (4) I ‘= - 3.33: M/scc// V8: «'3 =' (iﬁwmcll 3 725' M/S-E-e\ wéxammmoﬁx OW: _ i; 4* r9 : ~‘Z‘?.o—— (LMQC‘PY '* Sguo M/gc: / H as 2: we +269 : 2(—3.ias-I)(4.)f” irmwmmmmﬁﬁxvxﬂmmmﬂwW-wmtﬁmﬁqanngg v.1f,._ﬁ\._ .a 3., A bead is sliding amund' a circular ring 4 m in diameter. At the instant shown: (9 == 30°). the tangenﬁaai .' 4% WS% The is aiso increasing at this instant at a rate @153? = a 2” I ' 1° ‘ amﬂemﬁm\$ ﬁewmine the mag' nitUde and d”? :1 w ‘a m’rﬁmeameﬂmaﬁwm Ware ask ShOUId be measured mm amﬁm mﬁdemﬁm .‘ ' <+ " - ' to the horizon. «mmmzmm‘swmmnmnm 2M”! :‘gﬁﬂmaﬁéﬁg mmmmmmmmmmmnmsmummawmmmmmmmmmmammal 4. A golfer strikes a golf ball at an angle of 80 = 50° as shown. Determine the initial velocity of the ball necessary for it to land within 3 feet of the hole. _ omr 07‘ “9r " cit VY': \{Sr‘neg — Gift 2.— oh! OH: 1 g \f : Vosfvxga‘b — if-ﬁt i - at): f ' : = 'l' : -—-— g V)‘ V0 (1059., Geoff‘s-4 (if a . 363i?) E )crveosgot:30i3 ¥+ “t3 E . . \/‘a use, l 3%: v a 30353] K 30:3 L T: .: Slh a 7“ ——‘ J" t Y - (vows). 2%“ M36059: E Eyr— K: E ._ me a.“ 3 2 same —— 423% VOM~ 34.Ié.{+/sq .vf For )4 2 £744 3 = make. -~ 2%)”? \A .3 3“ “Page V¢L mm ForXr—%O_Cf ‘ 3: [email protected] W 2504! V « 32.7154; 5 a For the pulley arrangement shown, block C is moving upward at 4 m/sec while blockA is moving downward at 6 m/sec. Determine the magnitude and direction of the‘Velocity of block B. Sc + 256+ZSA If Vc+ Mail/(‘26 v5: “em-Va : ﬂew-«>- 4 4 M m 4mm h_m___.___-"nu-nmemmnwmmt(19A\W‘A\Raﬁ.“\mxmmmmmvmli\\§mmnmm&g}mwa)rzmwwmﬁmmQ ...
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• Spring '08
• B.P.WANG
• Velocity, lunar module, transverse components, ‘a m’rﬁmeameﬂmaﬁwm Ware, mm amﬁm mﬁdemﬁm, lunar acceleration

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mae2323summer09test1 - 1 The lunar module descends to the...

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