Engineering Statics

C-6


Gear C is rigidly attached to arm AB. If the forces and couple shown can be reduced to a single equivalent force at A, determine the equivalent force and the magnitude of the couple, M.

The forces applied to the system can be replaced by a single force 
along line AB at some distance &quote;d&quote; from point A.
The sum of x-components of all forces is found.
The sum of y-components of all forces is found.
The resultant can then be written as the vector sum of the x and y 
forces.
&quote;d&quote; can be found by picking any point (most conveniently along AB) and 
taking moments about that point.
Since the distance is horizontal, only the vertical component of the force 
will give a moment about point A, the point chosen.