Biomech-Solving Problems-Lecture

# Biomech-Solving Problems-Lecture - Solving Problems...

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Solving Problems Introduction to Biomechanics 14:125:208

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Center of Mass Center of Mass If an object of mass m is suspended from a cord attached to any point on the object the resultant force (weight) will go through a single point no matter where the object is suspended from This point is the center of mass (COM)
Center of Mass In other words -The action of gravity on an object is the same as a single force acting at the COM. If you hang an object by a single point, the COM will always be directly beneath that point.

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Center of Mass So to simplify our problems we have our forces acting at the COM
Center of Mass We can find the x, y, and z components of the COM with the following equations:

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Center of Mass If you substitute in mg = W and dW =g dm
Center of Mass If you substitute in ρ V = m and ρ dV = dm With a constant density

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Center of Mass There is also a weighted approach Each sphere has its own COM Find the net moment about O If we treat it all as one system, the moment is due to the total weight times the structure’s COM Combine and solve for COM
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## Biomech-Solving Problems-Lecture - Solving Problems...

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