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Further Mathematics Paper 2, Nov/Dec. 2008  
Questions: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 Main
General Comments
Weakness/Remedies
Strength
Question 8

Forces of magnitudes 12N, 9N and 25N act on a body, as shown in the diagram.  Find, correct to three significant figures, the magnitude of the force required to keep the system in equilibrium. 

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Observation

 In this question, candidates were expected to resolve the three given vectors in their two components form   (Rx)         (25cos30)          ( 9 cos 60)         ( -12cos 45)        (17.6653)
   (Ry)     =  (25sinc30)     +  ( -9sin60)      +   ( 2sin45)       =    (13.1911)
If    (Rx)    is the resultant of the given forces, then the force required to keep the system in
      (Ry)
equilibrium is -  (Rx)    which many of the candidates did not know.   
                             (Ry)
The magnitude of the force  = 
√ (13.1911)2 +  (-17.6653)2  =  22.1N

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