Biomechanics Lecture 3

# Biomechanics Lecture 3 - Announcements Announcements Bring...

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Announcements Announcements Bring a calculator in both lecture and lab Information Sheets & Background Sheets Print out, complete and return it to me ASAP Both are posted on the course website – Notes page KAS Meeting (1 st of semester) Monday (12 th ) at 7:00pm ESC 210 (or somewhere up there) Meeting will last about 30 min to 1 hour Get involved TTU Scholarships (due Feb 1) www.scholarships.ttu.edu

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From last time… From last time… Planes and Axes (Pairs) of movement Sagittal Plane with M-L Axis Frontal Plane with A-P Axis Transverse Plane with Longitudinal Axis Types of Contractions Concentric, Isometric, Eccentric Muscle Actions and Joint Motions
Linear Kinematics Linear Kinematics & & Rigid Body Analysis Rigid Body Analysis ESS 3301-003 Lecture 3 Reading: McGinnis Ch 1, 2, 3

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Part 1 Part 1 Linear Motion Linear Motion Position, Velocity & Acceleration Position, Velocity & Acceleration
Linear Linear Kinematics Kinematics Kinematics Analysis of motion without regard for the forces causing the motion Variables involving space and time Examples: position, velocity, acceleration Linear Kinematics Kinematic analysis of linear motion Examples?

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Linear Motion Linear Motion Motion in a straight line or curvilinear path Path of motion typically does not cross back on itself Examples : Path of the ball after release during a baseball pitch Path of the shoulder of a sprinter during a race Path of the head during a vertical jump Others?
Linear Kinematics Linear Kinematics Rectilinear Motion Motion in a straight line Curvilinear Motion Motion along a curved path Not along a circle, though

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Position & Displacement Position & Displacement Position Defines an object’s location in space Relative to some reference Displacement is a vector Vector (2 dimensions) Length and direction Defines the change in position Straight line between start and finish Distance is a scalar No emphasis on direction Magnitude of the Displacement
Displacement Displacement Length of the Resultant Vector R = √ (y 2 - y 1 ) 2 + (x 2 - x 1 ) 2 Distance Formula Direction of Resultant Vector θ = arctan (Δy / Δx) = tan -1 (Δy / Δx) Refer to Figure 2.24, p. 54-55 for another example (x 1 , y 1 ) (x 2 , y 2 ) R θ

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Ex Ex . Distance versus Displacement . Distance versus Displacement START FINISH FINISH A A B B Running Track A – Displacement B – Distance
Velocity and Speed Velocity and Speed Speed is a scalar Velocity is a vector

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Velocity (v) Velocity (v) The SI unit of velocity is meters per second (m/s)
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