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

• 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)

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

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

• 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

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

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

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

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

While walking slowly, a 60kg woman places all of her weight, W, on one foot as shown.
• Determine the vertical compressive force F
B 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
1000mm 2 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?
F
B
F
A
A
15mm 100mm
W