How Is the Net Moment Calculated in a Circular Disc?

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SUMMARY

The net moment of force in a circular disc is calculated using the formula Moment = Force x Perpendicular Distance. In this discussion, the anticlockwise moment at point A is confirmed to be (30N x 4m), where 4m represents the perpendicular distance AB from the line of force to the pivot O. The discussion emphasizes that resolving the force into components is an acceptable method, yielding the same moment calculation. Clockwise moments are acknowledged as more straightforward in comparison.

PREREQUISITES
  • Understanding of moment of force concepts
  • Familiarity with circular disc mechanics
  • Knowledge of resolving forces into components
  • Basic trigonometry for calculating perpendicular distances
NEXT STEPS
  • Study the principles of torque in circular motion
  • Learn about the application of moments in engineering contexts
  • Explore the use of trigonometric functions in force resolution
  • Investigate the differences between clockwise and anticlockwise moments
USEFUL FOR

Students of physics, mechanical engineers, and anyone interested in understanding the mechanics of forces acting on circular objects.

xunxine
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I understand that to find moment of force, we look at direction of force and perpendicular distance. In the diagram, O is the centre and pivot of the circular disc.

Would the anticlockwise moment at A be (30N x 4m)? I'm not sure if this is true, cos the distance 4m is only AB. It does not include O which is the pivot.
Should we resort to resolving the 30N force to 2 components at 5m (OA)?
(Clockwise moment is straightforward here, isn't it?)
 

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xunxine said:
Would the anticlockwise moment at A be (30N x 4m)?
Yes.
I'm not sure if this is true, cos the distance 4m is only AB. It does not include O which is the pivot.
What counts is the perpendicular distance from the line of the force to the pivot, which equals AB.
Should we resort to resolving the 30N force to 2 components at 5m (OA)?
That's a perfectly fine thing to do. Try it and you'll see that you get the same answer for the moment, since OA*F*sinθ = AB*F.
(Clockwise moment is straightforward here, isn't it?)
Sure.
 

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