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Biomechanics Lecture 4

# Biomechanics Lecture 4 - Announcements Announcements Exam 1...

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Announcements Announcements Exam 1 will be in 1 ½ weeks (Thurs, Sept 22) Will cover everything covered through Tuesday the 20 th (likely through lectures 4- 5) Start working through Problem Sets 1-3 Keys are posted Also go back through the Alg-Trig review worksheet from lab

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From last time… From last time… Rigid Body Analysis Assumptions Free body diagrams Statics Trig Linear Motion Kinetics Position, Velocity & Acceleration Finite Differentiation 1 st Central Difference Method
Newton’s Laws Newton’s Laws Governing Linear Motion Governing Linear Motion ESS 3301-003 Lecture 4 Reading: McGinnis Ch 1, 2, 3

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Part 1 Part 1 Isaac Newton Isaac Newton & & Newton’s Laws Governing Linear Motion Newton’s Laws Governing Linear Motion
Kinematics & Kinetics Kinematics & Kinetics Kinematics is a type of analysis… Describes motion without regard for forces Concerned with space and time parameters e.g. position, angle, displacement, velocity, and acceleration Kinetics is a quantitative analysis… Examines the forces causing the motion Linear Kinetics Examines the causes of translatory motion or motion in a linear path (rectilinear, curvilinear) Forces causing linear motion

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Who Was Isaac Newton? Who Was Isaac Newton? Isaac Newton (1642 – 1727) Physics and Quantum Physics (“Newtonian Physics”) Laws relating observed motion with the causative forces. Law of Gravitational Acceleration (planetary motion) Principia Mathematica (1686) Philosophiae naturalis principia mathematica Fluxiones (fluid mechanics and planetary motion) Other Contributions to Science: Calculus Big battle with Liebniz regarding who discovered it first Theories on Prisms, Light and Colour Opticks, 1704 Basically, his laws govern much of what we analyze on earth
Newton’s Laws Governing Newton’s Laws Governing Linear Motion Linear Motion Overview Overview 1. Law of Inertia 2. Law of Acceleration 3. Law of Action - Reaction

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Newton’s 1 Newton’s 1 st st Law of Linear Motion Law of Linear Motion Law of Inertia If no external forces act on a body then the velocity of that body remains constant A body at rest tends to remain at rest A body in motion tends to remain in motion
Law of Inertia Law of Inertia Terminology Terminology Inertia Describes an objects resistance to motion (N) Mass Measure of the amount of matter constituting an object (kg) Inertial Force = m·a = m·g Force which must be overcome for an object to move from rest or change direction

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