F09+Exam+1+solution

F09+Exam+1+solution - ES 2120 Exam 1 September 21, 2009 1)...

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Unformatted text preview: ES 2120 Exam 1 September 21, 2009 1) Block A starts at rest and is accelerated to the left at 3 in/s2. Find: a) The velocity of B at any time t. b) The distance B will have traveled after 5 seconds. c) The relative velocity vector, VEIA at t = 5 seconds. wmm’ifiwmw' OLA W .. “W Answers: VB: cm/S ‘9? x3 m Com SWAN"? wants}: XB= 31.5 m T mt WWW WW9 M vfi’t' V3 .130 Ck”: : «QB 2 3mg; (CQN$WNT} 20 points ES 2120 Exam 1 September 21, 2009 2) Pin A, which is attached to link AB, is constrained to move in a circular slot CD. Knowing that at t = O the pin starts from rest and moves so that speed increases at a constant rate of 20 mm/sz, Determine the magnitude of the total acceleration when a) t = 0 (Sketch Solution) b) t = 2 seconds (Sketch Solution) Answers: 20 points W lé’" ES 2120 Exam 1 September 21, 2009 3) A basketball player shoots the ball at the basket, which is 25 feet away, as shown. lf the ball goes through the center of the basket, determine: a) The required initial speed v0. b) The angle (i) that the trajectory of the ball will make with vertical when the ball goes through the basket. :2 “3i~1§‘”/$1m§ V “"3 V0 C03 50? “9- (V9 sim‘fiow 32.1139)? '1 ma t” 3 \lot (.03 50?: t (V0 4: gm god/£52th > A ~ in X mlzemosxt «- w N :1 "t D‘WC‘WQQ m" Vat caagm _ C2) @fiém Vgfi flirt 5563*” HA t 2., 25 \l (2.3”) Sintw‘l < 2.5 tr h f, WW 1,563 W. {(0.} W. 14/?“ ("Q3 50 V? \30 flag VGCOE: €30 ., so “” 3‘55 wt 7,1. 5 w 2. ‘5 trané 3 V01. M, l, 302 a V ; ... la“ 53% at“ , (a) "flashy-e \/ a 2% (as, 50;, «tm (2w SM m wazfitlmfl) l «E/w\gm%$6 w: lc’llZOth‘lfl4? 69: “W t mm) «4 MKV: to) Cl? "I? %-~9 3 Omelet? a. 463,23" 20 points ES 2120 Exam 1 September 21, 2009 4) A 3-kg disk D is attached to the end of a cord as shown. The other end of the cord is attached at the center of the platform. Knowing the maximum tension in the cord is 100 N and the coefficient of kinetic friction between the disk and the platform is W = 0.1. If the platform is rotating rapidly, and the disk is placed on it and released from rest. Determine, at the time the cord breaks,: a) The tangential acceleration. b) The velocity. c) The time it took to break the cord. (Include a free body diagram with your solution) Answers: mesm%:amsnazaaed T2: lOQ N gaoafifl43321fi%%N , 33> .. aye: M/‘Sfizm www-mflitjmW...-............-............. mmwmcflg’ EQQN fi Mfg?” my QM wwg” 33 \lg‘mfi: \10) + Q-kt WWW r 003% 20 points ES 2120 Exam 1 September 21, 2009 5) As the gear A rolls on the fixed gear B, the point P on gear A can be described by the equations r = 1 + cosnt and 6 = rct where r is measured in feet, 6 in radians, and t in seconds. When t = O, P is situated at PO as shown. When t = ‘A 5, determine the magnitude and direction of the: a) Velocity of P. b) Acceleration of P. (Hint sketch your solution to determinethe direction) Answers: films" we" 0.5 ft P0 \13 5.310 A l i W " /4 s l V.» wt édgllésléa M“ r"; Jig/2+ l '3” 136‘? a. w ‘ a i r“ warm trim to a» am l £4 2:: at} mam: Wm?" t1?“ :1: W255 «m Marti? E W M l w i €33“: «*3 nit»; Wt”: x m r W m: m if. i ‘ $2 - A m {warm as” l e; fifitzfis g f M rites Q: n claim» % C“ m“ \l: (er 4., (9-59 m ,1,’2.$.€¢at~ Nazarene” .P 31-11.12: +53% 358 M 2:. 5,30 9‘75) t ma. . a», u a} o “,w 0L :('r°~—rez)er rgyaflmwema man l E i 3ww”5{5%.%£w a: o 4) mg} 30.4 e: wales”: WAG "a weftfitmtfto‘ft are?" g at» {its Z’Eliig*€gi33lfle V” W233; Q: m lax-2w 7% gépoints 3°“ “gay/$3" 25 ...
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This note was uploaded on 12/08/2010 for the course ENGINEERIN 2120 taught by Professor Kobbe during the Spring '10 term at Wyoming.

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F09+Exam+1+solution - ES 2120 Exam 1 September 21, 2009 1)...

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