Friday, November 1, 2013

Find the resultant of a 52 N force acting due East and a 33 N force acting due South.

The forces are vectors and have both, a direction and a magnitude. In this case, the forces are acting due East and due South and hence, are at an angle of 90 degrees to each other. We can use the vector concepts to determine the resultant and direction of resultant.


The resultant force is given as: `sqrt(52^2 + 33^2) = 61.59 N`


and the direction of the resultant is given as:


`theta = tan^(-1) (33/52) = 32.4 degrees`


Hence, the resultant force of the given force system has a magnitude of 61.59 N and is acting at an angle of 32.4 degrees with respect to the horizontal, or, in other word, 32.4 degrees south of east. 


We can use the same concepts to determine the resultant force and its direction for a given force system.


Hope this helps. 

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