Mechanical Engineering: Rigid Bodies & Sys of Forces (23 of 47) Physical Meaning of Moment of Force

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In this video I will explain the physical meaning of the moment of a force about a given axis.
Next video in the Rigid Bodies and System of Forces series can be seen at:
• Mechanical Engineering...

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Also, the magnitude of R2 is the "perpendicular distance" between the force(line of action) and axis(of rotation). This is often the next lesson on subject of moments and triple scalar products. ...or the "bonus question" on homework and test question. It's not a very intuitive concept, so it's often overlooked by engrs. I'm sure I did back when I was a student, but I understand this now and can appreciate it.
For anyone interested, the key is F² = F(perp)² - F(parallel)²
where: F(parallel) = F • Axis(direction unit vector)
Once, you know F(perp) magnitude value, then unknown moment arm d is (d-perp).
F(perp) x d(perp) = moment(found earlier from the triple vector product)
Note: F = resultant force, F(perp) and F(parallel) are two components of F. These reside in one plane so it's a right angle vector component layout, thus pythagoran eq is simply used.

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