PPT-Kinematics Equations

The Fab Four of Kinematics t t x f I use x and y depending on horizontal or vertical Many times the is missing but its there   Question 1 Coming to a stop As you drive in your car at 15 ms just a bit under 35 mph you see a childs ball roll into the street ahead of you You hit the brakes and stop as quickly as you can In this case you come to rest in 15 s How far does your car travel as you brake to a stop. qqqq brPage 2br Jacobians Direct Differentiation fq fq fq mm mm mm 1 1 mmn n Jqq uuu 1 1 mmnn Jqq uu ij i Jq 1 1 mmn n Jqq uu xJ TGT Example xy lc lc yls ls 11 212 11 212 GT GT GGTGT ylclc lc 11 212 1 212 2 11 212 1 212 2 GT GT g meters feet 00 x m y m xy 1 2 origin 63 Points position is 224 from the origin at 63 above the x axis or xy position of 1 2 224 brPage 2br Relative Position Position of a second point with respect to a first point To convert between absolute re e Ax where is vector is a linear function of ie By where is then is a linear function of and By BA so matrix multiplication corresponds to composition of linear functions ie linear functions of linear functions of some variables Linear Equations con’t. Review session for final exam. Thursday afternoon? . Thursday evening? 7:30 -???. Friday morning?. Kinematics of folding- outline. Active folds:. Flexural folds. Neutral surface folds. Passive folds:. Kinematics. is the branch of physics that describes the motion of points, bodies (objects) and systems of bodies (groups of objects) without consideration of the causes of motion.. Kinematics. One-dimensional kinematics involves movement along one axis.. Kinematic Equations. http://. www.aplusphysics.com. /courses/honors/kinematics/. honors_kinematics.html. Unit #2 Kinematics. Objectives and Learning Targets. Use kinematic equations to solve problems for objects moving at a constant acceleration in a straight line and in free fall.. u. sing slides from D. . Lu. Goals of this class. Introduce Forward . K. inematics of. mobile . robots. How Inverse . K. inematics . for . static . and mobile robots can be . derived. Concept of . con’t. Review session for final exam. Thursday afternoon? . Thursday evening? 7:30 -???. Friday morning?. Kinematics of folding- outline. Active folds:. Flexural folds. Neutral surface folds. Passive folds:. Its all about Kinematics Equations. Kinematic Equations. the branch of mechanics concerned with the motion of objects without reference to the forces that cause the motion.. Two types of Equations. Constant Velocity Equations (acceleration = 0). Kick . Brian M. Campbell. 1. , Adam M. Fullenkamp. 1. , James Bacher Jr. & C. Matt Laurent. 1. . 1. Bowling Green State University, Bowling Green, OH. e-mail: campbeb@bgsu.edu. . . Introduction. AP Physics. Chapter 2. Describing Motion: Kinematics in One Dimension. AP Physics. Section 2-1 Reference Frames and Displacement. Describing Motion: Kinematics in One Dimension. IA1a - . . Students should understand the general relationships among position, velocity, and acceleration for the motion of a particle along a straight line . What measures must be known to…. Make a moving object catch a falling object?. Program a yellow light for safe use?. What should my notebook look like?. Notebooks are a waste, unless YOU can benefit from using them.. Computer. . Graphics. LET US ENTER INTO THE MAGICAL WORLD OF ANIMATION. Contents. INTRODUCTION. APPLICATIONS. DESIGN OF ANIMATION SEQUENCES. GENERAL COMPUTER ANIMATION FUNCTIONS. RASTER ANIMATIONS. COMPUTER ANIMATION LANGUAGES. Animation. From hand drawn animation. Lead animator draws poses at key frames. Inbetweener. draws frames between keys. Computer animation. Can have separate keys for different attributes. Squash and Stretch.