Posted by sara on Wednesday, December 30, 2009 at 9:02am.
You can solve the problem with the following steps:
1. Resolve each force into the x- and y-directions.
2. Sum each of the x- and y-components to get the resultant components.
3. Combine the two resultant components into a single force using vector addition, i.e. use Pythagoras for the magnitude, calculate angle using atan(y/x). Be careful with the angle which can range from -180° to 180°. Work that out according to the sign of y and of x to find the quadrant the resultant belongs.
4. The required force that maintains equilibrium is equal in magnitude and opposite in direction to the resultant obtained in (3) above.
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