Biomech-Solving Problems-Lecture

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

Info iconThis preview shows pages 1–9. Sign up to view the full content.

View Full Document Right Arrow Icon
Solving Problems Introduction to Biomechanics 14:125:208
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
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)
Background image of page 2
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.
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Center of Mass So to simplify our problems we have our forces acting at the COM
Background image of page 4
Center of Mass We can find the x, y, and z components of the COM with the following equations: ? = ± ?°? ? ² ³ = ± ²°? ? ? = ± ?°? ?
Background image of page 5

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Center of Mass If you substitute in mg = W and dW =g dm ? = ± ?°² ² ? ³ = ± ?°² ² ? = ± ?°² ²
Background image of page 6
Center of Mass If you substitute in r V = m and r dV = dm With a constant density ? = ± ?°²³ ± °²³ ? ´ = ± ?°²³ ± °²³ ? = ± ?°²³ ± °²³ ? = ± ?²³ ³ ? ´ = ± ?²³ ³ ? = ± ?²³ ³
Background image of page 7

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Center of Mass There is also a weighted approach Each sphere has its own COM Find the net moment about O
Background image of page 8
Image of page 9
This is the end of the preview. Sign up to access the rest of the document.

This document was uploaded on 11/04/2011 for the course BIOCHEMIST 208 at Rutgers.

Page1 / 40

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

This preview shows document pages 1 - 9. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online