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e102_mid_term_solution

e102_mid_term_solution - UNIVERSITY OF ~ ALIFORNIA DAVIS...

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Unformatted text preview: UNIVERSITY OF ~- ALIFORNIA, DAVIS Dept. of Mechanical a-»=s;.t Aerospace Engineering E-102 Mid-Term Exam (Solutiorﬁ 1 Hour and 50 Minutes Closed Book and Notes I.) The block shown is observed to have a velocity V] =20 ﬁ/sec as it passes point A and a velocity v; = 10 ft/sec as it passes point B on the incline. 5% a.) Neatly sketch a free body diagram of the system 20% b.) Calculate the coefﬁcient of kinetic friction pk between the block and the incline if x = 30 ft and 9 =15 deg. , i la) 25;? M4! ",‘r‘ﬂkwr'lfw'VﬁLn /<5° = M4, (D , ,, , 3 eqjlﬁ) gunhnownlﬁ’ ,ZF’y—1M9y , ax}! )IJ 4Macmls°+u= 0 ® . I L V :30 E , 7 ,1, ,, , egg-m1: PM! Q) i V O i SOIQTHWLM 7 3° . ,_—.,’100 _ sm|5°+ M co to“) d4 ’—00 a - We ”2% 4 J, O Swat lat: anae 2.) The crank AB has a constant clockwise angular velocity of 200 revolutions per minute. Determine: 15% a.) the angular velocity of bar BP at this instant 10% b.) the velocity of point P on the piston at this instant 2\ “use, 7 0\L‘>\ 7 Us; obeqloch, nae-Lion 7L: ﬁgmse +L\$9 Coce’ =WP= ~Lm5 Smog- ngmtil? é = l' 02?") Wallace ~' 790-9" voJ/£ee QUE-".1. ' ogcocg’ = .y. (65—20039 0 ’19 I , , Lee i r \/=‘,‘Lk5 C039 bu-L ,Lms 3‘; 2"”; 23a lit: -J.F7 5994+ :‘ C05\$=l or 97:46“ C06 :.- or eat? ‘12 f .597 2M Mal/sec ﬂ 3.) The device below consists of two 3.2 kg point mass. 5: {particles) on a light, rigid bar. The device is swinging through the vertical position with a clockwise angular velocity (1) = 6 rad/sec, when a 0.05 kg bullet traveling at v = 300 m/sec in the direction shown strikes the lower mass and becomes imbedded in it. 5% a.) Neatly sketch all free body diagrams necessary to solve the problem 20% b.) Determine the angular velocity (0' which the pendulum has immediately after impact 77 Give 4,54!— .H33 _ HI: ' ’ m3 :; +9. « (seem-am?) 51-“ czalzaiwﬁr-‘DVW (423 “(imam Ml W'svﬁém 4,! I i 1 41", {WNW (ﬂu ’l 4.) A jet aircraft with a mass of 1‘ 104 kg is ﬂying horizontally at a constant velocity of 1000 km/hr. The jet engine is developing a constant thrust T, and the aerodynamic drag is R. At some instant, the pilot starts two rocket-assisted units attached to the aircraft, each of which develops an additional thrust T0 = 8 kN for 9 sec. At the end of 9 see, the aircraft’s velocity is 1050 km/hr. 5% a.) Neatly sketch :1 free body diagram of the system 20% b.) Determine the time-average increase in drag AR over the 9 sec period o 4] rhea, MISéC. _ jézwgﬁ + (2.1m? =, (/0601: 2713\«19 -(zoc¢)(.m'/t",, o 9 , <7 7 i , 7’ , , 4} mu - fame =’ﬂak/'60:[email protected]? ©ﬂ ...
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e102_mid_term_solution - UNIVERSITY OF ~ ALIFORNIA DAVIS...

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