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by: Coty Von

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# Dynamics CEE 2040

Coty Von

GPA 3.94

Yang Wang

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COURSE
PROF.
Yang Wang
TYPE
Class Notes
PAGES
0
WORDS
KARMA
25 ?

## Popular in Civil and Environmental Engineering

This 0 page Class Notes was uploaded by Coty Von on Monday November 2, 2015. The Class Notes belongs to CEE 2040 at Georgia Institute of Technology - Main Campus taught by Yang Wang in Fall. Since its upload, it has received 17 views. For similar materials see /class/234180/cee-2040-georgia-institute-of-technology-main-campus in Civil and Environmental Engineering at Georgia Institute of Technology - Main Campus.

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Date Created: 11/02/15
Georgia Institute of Technology School of Civil amp Environmental Engineering CEE204OB Dynamics Dr Yang Wang 1 During an escape James Bond wants to jump off a bridge so that he can land on a boat that is moving in the river At the instant he runs off the bridge deck James velocity is horizontal and the horizontal distance between him and the boat is d We also know the height difference is h and the boat moves towards right with a constant speed VB In order to land on the boat successfully what initial velocity is needed at the instant when he leaves the bridge Express you answer as a function of d V h and the acceleration of gravity g points d t amp Initial velocity of h 39 a g g V i 5 3fw t 39 2 f at 5 W r r A 3 ifquot 4quot Vb 7W 7 Georgia Institute of Technology School of Civil amp Environmental Engineering Dr Yang Wang CEE204OB Dynamics 2 Starting from rest at position x 0 block A moves towards right With a constant acceleration of lftsz As a result block B moves up Ignore the dimensions of the pulley and the blocks assume the length of the rope is constant When block A is at x 4ft what is the velocity of block B 10 points Mae v in V ffrgmmf tile y 0 23 raLa lm 7Z5 eel 44 y quot 2 J gt x g gytiwvm V W I I L v 1 4 gt4 4 g i y Y 1 t if 5 3f g l J 3 Q I g f 1 J 2 5 g i a g t 39h a I r i P in 1 g ii 3 j ve 5H t 7i i gaff ft i f x v M w j i w M y I I 4 r g 5 liftquot at f A w v 3quot x i w m r e 2 7 a x n 1 xi a 1 3 ha l l l l l in 3 5 Pts 7 You have been hired by a ski resort to design a halfpipe for snowboarding The manufacturers tell you that their machine the socalled Pipe Monster can cut Ie snow into either a half circle pipe of radius 16 In see case 3 below or into a paraboli pipe of equation V I x see case b below w 39th maximum depth 01 6 m The owners tell you they don39t care about the shape ofthe pipe they just want it to be s Assume that a snowboarder starts from the top leil deck point A on both pictures and travels down at a constant speed oft2 ms I For both cases using tangential and normal coordinates nd his or her acceleration after they ve passed Lhe bottom oflhe pipe andjust as they reach pointB whose x coordinat 39s m For case b onl 39 3939 39 39 439 Kl nmve that the results are the same as o 3 uvw I r s using C btained in the previous question as they should be quot it which desi n 39 39 39 4 I In light ofthal result what do you think ofthe typical halfpipe design which calls for a circular not parabolic drop

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