{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Final Exam 2004 - ES 223 — Rigid Body Dynamics Final Exam...

Info iconThis preview shows pages 1–7. Sign up to view the full content.

View Full Document Right Arrow Icon
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Background image of page 2
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Background image of page 4
Background image of page 5

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Background image of page 6
Background image of page 7
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: ES 223 — Rigid Body Dynamics Final Exam - Spring 2004 Q. Apri127, 2004 ' NM SOHA 1 la! 2 Closed book and closed notes. Show all work and enclose your final answer with a box. There is extra blank paper and a stapler at the proctor-'5 desk. Ifyou use extra paper, put your name on it and staple it to the exam. Calculators may not be shared. Problems will be graded for partial credit only if the work is neat and all intermediate steps are clearly shown and presented in an easy to follow format. 1. (20) The rectilinear motion of a particle is described by v = 4:2 + 31 + 2 m/s where v is velocity (meters/second) and t is time (seconds). When I = 0, the position, .9, is 10 m. Find the position and acceleration of the particle when t = 4 seconds. Find: 3 when t = 4 seconds a when t = 4 seconds ”U" dS/db 99(19th I 015-612“ 5 'b at d5 : £1Bt+Lcit nag 5m + 3 ar— t>4=+3> 5-10: @1333 7.“: at ifiucsefi .3 7» 5:. Hé+gtfiat +10 ax- (SUNNY-2* 73" “-2 5: LI 9193+ 399: LWID a: Emu/52 3 2.- 5285234 2‘} +5 “D ‘Szlé’JB m! 2. (30) Determine the angular acceleration ofiinkAB and the linear acceleration of A for 6= 90° if Qog= (ll? and $03 = -4k rad/s2 at that position. Find: £43 and £14 y L; :0 Because L803 J Relalwe. mallow, H’cmslalmra ates. 6) QM?» +QLR/B D 9.01:}:- 921: wfiufimw it: 042-: M was» A MW- Subs‘lrlwle mic.) CD A ant“: _I.b’a\—- 0.30f333—0u4 dag A @ gm“; ’2‘“ memew‘l57 Death-0.30M» [EM/‘- -_' a 089%: _$_'33 :7.) (3:33- 533 .5 subs4.m+ m+°@* (1,92pr (4‘33) 2 29:3*l32 m/S'L 3. (15) The assembly consists of a disk having a mass of 6 kg, slender rodAB which has a mass of 2.6 kg, and slender rod CD which has a mass of 1.5 kg. Determine the mass moment of inertia about an axis perpendicular to the page and passing through point 0. Find: 1.9 Note: The disk can be treated as a cll'cular cylinder 170.8mA——]~0_5m_40 Dls Ci ‘ *4 2 6“ at? renaminyg’; ,0 ,1 DISK: I0: IA—mQ, :sz +m *2- 1’ . .— 1. 1 . 1 :" ' 25 Pool |: Io=I+m [1;— {ELM m4:léflablll3)+(:b){a.;5)1'0 Ll .— "" '1.- l 7" I 0,751 I l— : I R0421 Joz-Imcl .: 3M mat ff'SX +0 M9 5] 0W5 To"- bli-lOHIE-l DANS In: bqq ha. ML 4. (5) StateinwordsNewton’sFirstlaw. a Pdf+ide TCWQMS 61+ {951‘ or Covd‘mues “+0 m't‘Nfl erA \vaonrrm Vernal-7 “0 Jr'bere \S m. unbalanced 4:0ch aolmc‘t. 0“ 1+. 4 . S. (30) The 3 1b uniform slender rod BD 15 connected to crank AB and to a 0011a: of negligible weight at D. CrankAB rotates with an angular velocity2 0f 12 rad/sec counterclockwise and an angular acceleration of 80 rad/sec2 clockwise at the instant shown. Neglecting the effect of motion, determine the force in the pin at D.- For rod BD: 8.3 Find: Force in pin at D ‘1» F = 0.00539 Slug - 02 _ 13:0.0216 Slug-t12 .fi X New’ in Compuie 0Q”, ,bw} LU!” new to” also Use. IC. +2, 1Cmd = —aq‘4‘t+!8: +0557ng +0.50%}; 5‘45 mic @i 0b“- Deli 353-1303:- 1W1} HR 3+0 wanna; ”Sum-W Equcvte" 4, *. o -.= 4.04th +0 Sofas § 9’50: 88 Mal/f Back 42 CD @434 W‘" @0042: b-DQIQ(€E’N+(%~3 “M M’QD’Ep-3hajcng (0.913474% ~I0h =~ W42 0.145st +4 42’}! 0.504: 3 ESL! —> [Bx =7.\\ 0: 9‘ 5 . 6. (25) A 3 kg uniform slender bar rotates in a vertical plane about a pivot at B. A spring of constant k = 300 Mum and of unstretched length of 120 mm is attached to the rod as shown. Knowing that in the position shown the rod has an angular velocity of 4 rad/s clockwise, determine the angular velocity of the rod afier it has rotated through 90 degrees (in other words when rod AC is vertical)- The radius of gyration of rod AC about an axis through B (k3) is 312 mm. Find: arm when AC has rotated 90 degrees clockwise to the vertical position ‘ 1 G T, was \Je, kafTvaVQz. The“ Subei-L‘i'uitm‘ back- Mi0 0) Q‘3Q+o+lo ‘1. 0,]lew7j': SAL} =5 U311: 37.15 101,1 (M0 card/6 D 6 as: = owe. ohmume 7. (25) The double pulley consists of two wheels which are attached to one another and turn at the same angular velocity. The pulley has a mass of 30 kg and a radius of gymtion k0 = 250 mm. Iftwo menA and B grab the suspended ropes and step off the ledges at the same time, determine their speeds and directions (up or down) after 4 seconds starting fi'om rest. The mass of man A is 60 kg and the mass of man B is 70 kg. Assume they do not move relative to the rope during the motion. Neglect the mass of the rope. Be sure to determine the speeds and directions of both men. Find: Speed and direction of man A ...
View Full Document

{[ snackBarMessage ]}