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# Dynamics Study Guide with Notes and Examples AEM 264

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This 24 page Study Guide was uploaded by Katie McCoy on Saturday January 31, 2015. The Study Guide belongs to AEM 264 at a university taught by John Jackson in Fall. Since its upload, it has received 879 views.

## Reviews for Dynamics Study Guide with Notes and Examples

-*Shihao Xu*

hard to read, need to highlight more important equations needed and when to apply them for future tests

-*Hannah Miller*

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Date Created: 01/31/15

Review for Test 1 Dynamics AEM264 Spring 2015 Tuesday February 3 700845 PM Room 127 Biology Bldg This test consists of multiple choice questions most of which appeared on previous Fundamentals of Engineering Examinations The inside front cover of your text will be attached as an equation sheet This is a closed book closed note test Circle the correct answer on the test paper For problems that require numerical computation show your work in detail in the space provided to you on the blank pagtg If you do not do so you Wllwwl receive a ZERO for each problem for which you have not done this This is rgQrdless of whether or not you circled the correct answer This means your instructor must be able to find your solution and must be able to follow your computations Do not do computations on the pages provided for circling your answers This test covers Chap 12 on Kinematics of Particles Topics Covered Rectilinear Motion Understand how to use the general relations between a v s and t d d 6X 1 V S a v ads vdv dt dt Understand how to apply the special case equations for constant acceleration 2 2 2 v v0 atgs 50 v0t at gv v0 2aAs 2 Make sure you understand when NOT to use the above algebraic equations Erratic Motion This involves a sequence of motions One way to work these is the graphical approach Always construct the at diagram on top the v t diagram in the middle and the s t curve below the vt curve The t coordinates should line up vertically Be able to understand and use the two slope relations and the two area relations used to complete these curves Generai Curviiinear Motion These are the same relations we used for rectilinear motion except the quantities are vectors that is a V 1quot that have components You will need to understand which set of coordinates to use for each application Should you use rectangularxy coordinates or normal tangential n t coordinates Rectangular Coordinates We worked a number of problems using rectangular coordinates including projectile problems We need to be able to relate what is happening in one direction to the motion in the other direction Remember for the projectile problems Horizontal direction is uniform motion but vertical direction is uniformly accelerated motion Make sure you use the correct value for the gravitational constant NormalTangential Coordinates Useful for coordinate systems moving with a body along a curved path Recall velocity 3 is always tangent to the path but Acceleration 3 is NOT in general tangent to the path of the motion 5 has two components one due to change in speed tangential acceleration and one due to change in direction normal acceleration The normal direction FF is always toward the center of curvature Dependent Motion Example weights connected by cables and pulleys You must be able to obtain one or more constraint equations Relative motion Understand the vector definition of relative motion CX 1quot You must take care to correctly associate the various position vectors velocity vectors and acceleration vectors to the prOper terms in the relative motion relations Remember I BA and FAB are not the same C AEMQM amin quotmm 39 3 12 83 The roller coaster car travels down the helical path at constant speed such that the parametric equations that de ne i itspositionarqxcsinkLycobsktzh btwhen c h and b are constants Determine 93 magnitudes of its 39 w i g velbcity and acceleration 39 I 1 2 f i 5 i ii i Prob 12 83 2 99141 2 Upwbe39 t R 1 ctth6 w6Qt a vLk C guy if M m 9 EL j v t 2 43 vs I i A MM 7M4 Hg33W jag 11 532333 fquot39 tr 7 ML 32 Q f A 5 MM quotNquot f Vquot 11 4 0M0 A I g39 W 7 Jr g 01 e 39 a vc Wtj L LimSLDL 5quot quotI 054 if piw gt 39 391 quotaquot k 9 mam 4 MW V 104 0 JEquotH M0T 39pr The position of a particle which moves along a straight line is de ned by the relation 3 2 t3 6132 15t 40 where 1 is expressed in feet and t in see A ends Determine a the time at which the velocity will be zero In the posi tion and distance traveled by the particle at that time c the 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