Represent moment graphically - mechanics, Mechanical Engineering

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Represent moment Graphically:

How you represent moment Graphically?

Sol.: Consider force F which is represented in magnitude and direction, by

 

2180_Represent moment Graphically.png

line AB. Let 'O' be point about which the moment of this force is required to found out.

From 'O' draw line OC perpendicular to AB. Join the lines OA and OB. Now moment of force P about O = F X OC = AB.OC But AB.OC is equal to double area of the triangle ABO.

Thus the moment of force about any point is geometrically equal to double the area of the triangle, whose base is the line A representing force and whose vertex is point, About which the moment is taken.

Mo = 2.Area of Triangle OAB 

Unit of moment = N-m

 


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