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MMB222 Dynamics Kinematics of particle: ¾ Position, displacement, velocity, acceleration ¾ One dimensional motion ¾ Graphical methods ¾ Relative motion Prof. Jacek Uziak
2 ¾ Kinematics deals with the concepts needed to describe motion ¾ Displacement or position: Dimension [L], SI unit meter(m) ¾ Velocity: Dimension [L/T], SI unit meters/second (m/s) ¾ Acceleration: Dimension [L/T 2 ], SI unit meters/second-squared (m/s 2 ) ¾ ( Dynamics deals with the effect that forces have on motion)
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4 x P O x The motion of a particle along a straight line is termed rectilinear motion . To define the position P of the particle on that line, we choose a fixed origin O and a positive direction. The distance x from O to P , with the appropriate sign, completely defines the position of the particle on the line and is called the position coordinate of the particle. One Dimensional Motion
5 Displacement ¾ Displacement is a vector that points from an object’s initial to final position, and whose magnitude is the distance between initial and final positions. x i x f x i f x x x = origin
6 Notation ¾ We typically (but not always!) precede a symbol with a delta ( ) to denote that it is the change, or difference in the quantity we are referring to ¾ examples: i f x x x = 1 2 t t t = b a v v v =
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8 Example¾The space shuttle travels at an average speed of 7.6x103m/s. The blink of an eye is roughly 100 ms. How far does the shuttle travel in the blink on an eye?
9 t
10 ,
11 O

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