Engineering Science 1022A/B/Y Lecture 8: Moment of a Force about a Point

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The moment of force about point , or an axis passing through and to the plane containing and can be calculated as: position vector from to any point on the line of action of can be written as: Since the length of the moment arm ( ) is constant, can extend from the point to any point along the line of action of. Resultant moment about a point of a system of forces. The resultant moment of a system of forces can be found. Principle of moments: the moment of a force about a point is equal to the sum of the moments of the components about the same point. It is often easier to determine the magnitude of by using components. The resultant moment about point due to components and of the force is given by: The moment of force f about point o can be written as: Using components of the force, it can be written as:

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