Test 2 S08 - Problem #1 (36 points, 9 points each part) ....

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Unformatted text preview: Problem #1 (36 points, 9 points each part) . Sphere A of radius RA = 4.5 in. and weight - r n WA = l7.5 lb, moving with initial velocity VA1 of magnitude 6 fi/s strikes sphere B, (RB = 2.0 in. and W3 = 1.6 lb) which is initially at rest. Both spheres are hanging from identical light flexible cords. The coefficient of restitution is COR = 0.8. The angle Gshown is 22.62’. The subscript 2 indicates the instant just after the impact. a) Find the unit normal vector en as shown. b) Find the nonnal component of the initial linear momentum of the system A and B, L1“. 0) Find the normal component of the linear momentum of the system A and B, just after the impact (LZn) in terms of the unknown velocity magnitudes VA; and sz. ’ I? 5' @4‘ (1) Find VA; and 1232. fizz: flfl5¢3 F7 WWW V5211 9” VEZ : a 523 (M); m )4» {Mt/t?) V32 6 0.552 w»; M. Mr? V82 Ljh: “fly/4M 1"/”75V/32h 49 [M ’LG 3mm. 5/12 Yb +0 M? V572 2 if: V82), " '3 [02(VA/n w—fl'ql5 "L VB) 4 z 1‘ ’ Va *5 6’ MW m 7m wflzmwlm Vadfl/m’ ‘ ’ 2" ‘ 2 . M “92: 7:5) #775 VH1 =5/0 14% Problem #2 (28 points) A bullet of mass mg is fired with a horizontal velocity of magnitude v”; = 500 m/s through a 3—kg block A and becomes embedded in a 2.5-kg block B. We label with subscript 2 an instant of time when the bullet is between the blocks, and subscript 3 when the bullet is embedded in block B. The blocks A and B start moving with velocities of 3 M I 5 "7/5 m/s and 5 m/s, respectively. . V4 2" 5 VA; ‘ Determme the energy lost as the bullet passes through the block ZV’tyMinj its ., AMZ’ mg": 3 z; .a g Al-S made/2: 4%, “my few/1%; 500- 6/,” 0’9 fl? emu-21,5 A“ 4Wth fl 2': 10 3 :/ {Gym Al’z’3 m a M leLZf’ZW? {m&+215”:5&9m¢ / fltd434 1&7 Problem #3 (36 points, 6 points each part) . Rod AB moves over a small wheel at C while end A moves to the right with a constant velocity magnitude of vA = 2 fi/s. " The point C on the rod has unknown velocity magnitude vc. All questions refer to the instant of time shown. Find a) the relative position vector rC/A. b) the unit vector in the direction of the rod eC/A~ c) the velocity vector of the rod vc at C in terms of the unknown magnitude VC. (1) the angular velocity of the rod (0. e) the velocity of end B of the rod, VB. f) Who is buried in Grant’s tomb? . A a V A) 21%, c [4/2 [rd/As, (“332-4 Jigs) a win? 14/ [fuel awn/"+4 59%;! A 10/ /l ' 5 6) Vic 2449:.- (7.3/71/5/1“ “"93 Va? “6 (4V2? £75 Mfg; [6/4 A 6!} K4 8%} + J/cm 4, ‘WZXQ‘B; /+mflj A , (z tflflflflfifl' 9330051 5575297607 ’ £853 09:; fl 4 c (9.9/7 [Q 7 7e a573yc j , ,3, .,#0V fliigl’fchEZf/‘Sflw a} 343/ Vobrflé7‘M/a fled/3PM; 4 «(7,0033 [ffo’v/ft/ot/e yM/gé 0% ...
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This note was uploaded on 04/06/2009 for the course ENGR 2090 taught by Professor Johntichy during the Spring '09 term at Rensselaer Polytechnic Institute.

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Test 2 S08 - Problem #1 (36 points, 9 points each part) ....

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