Locomotion_L_Avenue-1 - Locomotion Motion Kinematics...

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1 PHYS 1L03, Fall 2009, McMaster University, R. Nejat Locomotion Kinematics Concepts: Position & Displacement Velocity & Speed Acceleration Motion in One Dimension Free Fall Physiological Detection of Acceleration Chapter 2 Pages: 16-23, 27-29 PHYS 1L03, Fall 2009, McMaster University, R. Nejat This Cheetah is running. Can we analyze its motion? Motion PHYS 1L03, Fall 2009, McMaster University, R. Nejat Motion These images of a bird in flight show the bird’s position as a function of time. Q: What kind of motion can you verify for this bird’s flight? PHYS 1L03, Fall 2009, McMaster University, R. Nejat Motion What kind of motion can you verify for this bird’s flight? A: Pick a point on the bird’s body and determine how is position changes with time. PHYS 1L03, Fall 2009, McMaster University, R. Nejat In any motion, we deal with: –Where is the object? • Position –How far has the object moved from where is was? • Displacement –How fast is the motion? • Velocity –Is the motion getting faster or slower? • Acceleration Motion PHYS 1L03, Fall 2009, McMaster University, R. Nejat • Position –refers to an object location relative to some origin or reference point. The position of the ball is different in these two coordinate systems with two different origins. 0 x 1 1 2 3 4 x 2 0 1 2 3 4 One-Dimensional (1D) Motion
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2 PHYS 1L03, Fall 2009, McMaster University, R. Nejat One-Dimensional Motion • Displacement –refers to the change in an object’s position f stands for final and i stands for initial. i f x x x - = 0 x x i x f x PHYS 1L03, Fall 2009, McMaster University, R. Nejat • Displacement indicates the motion is in the positive x direction. indicates the motion is in the negative x direction. i f x x x - = 0 x 0 < x 0 x x i x f 0 x x i x f One-Dimensional Motion PHYS 1L03, Fall 2009, McMaster University, R. Nejat Displacement is a vector quantity. • Vector: is a quantity that has both a magnitude and a direction. –Position is a vector quantity. Scalar: is a quantity with no direction. –The mass of an object is a scalar quantity. One-Dimensional Motion PHYS 1L03, Fall 2009, McMaster University, R. Nejat Displacement vs. Distance: The displacement of an object is not the same as the distance it travels. Example: come toward me and return back to your seat: – The distance you walk is twice the distance between me and you. – Your displacement is zero, because at the end you had returned to your original position. One-Dimensional Motion PHYS 1L03, Fall 2009, McMaster University, R. Nejat One Dimensional (1D) motion can be described by scalars (real numbers with units) as functions of time. –e.g. x(t) The sign (positive or negative) keeps track of direction. One-Dimensional Motion PHYS 1L03, Fall 2009, McMaster University, R. Nejat Position-versus-time graph: One-Dimensional Motion
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3 PHYS 1L03, Fall 2009, McMaster University, R. Nejat Example: • Position-versus-time graph – The position of a train at various time is given at the table, draw the position vs.
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