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Agenda

Agenda. Website Midterms/Finals Class Problems ProblemSets Grades Project 1 Final: Wed, May 8 4:30-7:30 Ramaley C250 Extra Credit. IPHY 4540 Biomechanics.

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Agenda

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  1. Agenda • Website • Midterms/Finals • Class Problems • ProblemSets • Grades • Project 1 • Final: • Wed, May 8 4:30-7:30 • Ramaley C250 • Extra Credit

  2. IPHY 4540 Biomechanics • Objective: to learn how to quantitatively analyze the mechanical function of the human musculoskeletal system using principles of physics and physiology. • Topics: • Functional Anatomy • Tissue Biomechanics (muscle, tendon, bone) • Movement (kinematics) • Movement dynamics (kinetics)

  3. Functional Anatomy • Functional Anatomy • Muscle actions • Lever systems in the body • Biarticular/Monoarticular muscles • Movement descriptors

  4. Tissue Biomechanics • Tendon/Muscle/Bone • Material Composition and Properties • Stress-Strain, Force-Elongation Graphs • Equations • Muscle • Mechanics • Muscle architecture • F-V curve • F-L curve

  5. Movement • Kinematic Equations • Constant Acceleration • Linear vs Angular Motion • Radial/centripetal and tangential • Joint Motion • Velocity and Acceleration Calculations • Graphs and Slopes • Graphs • 1D vs 2D motion (vectors) • Trig, resultants

  6. Locomotion • Walking and Running • 1D vs 2D analyses • Phases • Joint Kinematics • Dynamics • Energy • Inverted Pendulum and Spring Mass models

  7. Movement Dynamics • Anthropometry • Center of mass • Moment of Inertia • Free-Body Diagrams • Forces • ΣF=ma • Friction and aerodynamic forces • Moments • ΣM=Iα

  8. Impulse • Momentum • Work • Power • Energy • Principle of Impulse and Momentum • Principle of Work and Energy • Conservation of Energy • Conservation of Angular Momentum

  9. Objective: to learn how to quantitatively analyze the mechanical function of the human musculoskeletal system using principles of physics and physiology. Tissue Biomechanics: Quantify response/role of tendon, bone and muscle Must know applied force/displacement Functional Anatomy: Describe movement Determine muscles involved Kinematics: Quantify movement Kinetics: Quantify whole-body and muscle forces and moments

  10. While walking slowly, a 60kg woman places all of her weight, W, on one foot as shown. • Determine the vertical compressive force FB that the tibia exerts on the talus • An equal and opposite compressive force therefore acts on the tibia. If the cross-sectional area of the tibia is 1000mm2 determine the resultant stress in the tibia • If the elastic modulus (E) of bone is 12GPa, determine the resultant strain in the tibia. • If the woman’s tibia is initially 0.5m long, how much does it shorten by? FB FA 15mm A 5mm 15mm 100mm W

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