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Biomechanics_course_gw_05 statics biomed application_gw

# Biomechanics_course_gw_05 statics biomed application_gw -...

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Unformatted text preview: Conditions for equilibrium • Equilibrium: acceleration a = 0 • Static equilibrium: – Translation • ∑ F = m a = 0 – Rotation • ∑ M = I α = 0 • For more than one force system, each component is not necessary zero, but each component of the summarized force is zero • If a system is in equilibrium, then each of its parts is in equilibrium • All components in Cartesian coordinate are zero as well based on pythagorean theorem • Statically determinate and statically indeterminate system Free body diagram • A draw of the body interested • Free and isolated from all external structures • Describes all forces and moments by proper – external exerted forces – Interaction between the body and its environment • Help identify the forces and moments acting on individual parts of a system • All know and unknown forces and moments are shown • The known force and moment are indicated with direction • Since each of its parts is in equilibrium, the free body diagram can be used for each one • It can make fictitious cuts to isolate parts of a body in order to quantify internal force and moment that are necessary to maintain equilibrium Center of gravity determination • Center of gravity • Center of mass • Difference of center gravity and center of mass • They are almost the same for biomechanics • Gravity line • Center line determination figure Constrain and Reaction Force • Force – Active • External force – Reactive: unknown • Constraining forces and moments acting on a body • Built in structure: – Hinged point: – Fixed point • Examples (4.2) of a free body diagram •...
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Biomechanics_course_gw_05 statics biomed application_gw -...

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