How to Find Perpendicular Distance to a Moment of a Point

Many fields of study and practice base their designs on statics and dynamics. The construction industry is one that relies on these principles to build stable and safe structures. Many of the problems associated with these fields of study involve vector mathematics, which includes the analysis of forces that possess direction and magnitude. The moment of a point is the resistance of the point to undergo angular acceleration. The principles and methods of calculating the perpendicular distance to that point are the same.

Instructions

    • 1

      Define all the measurements you know, including specifically the distances and angles. You will need these to perform the necessary calculations. In statics, the perpendicular distance is in units of force called newtons.

    • 2

      Determine the angle of the point in reference to the origin of the axis system in use. You can calculate the perpendicular distance using geometric principles and relationships. The perpendicular distance represents the force you exert on the moment of the point around the origin of the axis.

    • 3

      Replace the direct distance of the point from the origin for the variable d in the equation: Perpendicular distance = d X cos (angle). The direct distance is in meters and will yield newtons for the perpendicular distance. Replace "angle" with the measured angle between the origin of the reference system and the moment of the point. The term cos represents the cosine of the angle.

    • 4

      Perform the calculation to obtain the perpendicular distance of the moment of the point.

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