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Further Mathematics Paper 2, May/June. 2009  
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 17

Diagram not drawn to scale
Coplanar forces 4 N, 8 N, 4 N and 5 N act at a point as shown in the diagram.  If the 6 N force act in the direction 090°, calculate the:
(a)      magnitude of the resultant force;
(b)     direction of the resultant force.

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Observation

It was reported that although this question was not attempted by many candidates, those who attempted it displayed a good understanding of the topic.  They were able to resolve the forces into the horizontal and vertical components of the resultant force thus:                                          
  8 cos 55°   +   6 cos0o  +   4 cos 25   +  -5sin25°  +  -4cos25o     which
  8 sin 55°         6 sin0o       -4sin 25o        -5cos25°        4sin25o
after a little computation gave  6.0571   . With the result, they were able
                                                        4.4401
to obtain the magnitude of the resultant force

/F/ =  = 7.51 N to 2 decimal places. The direction of the resultant force is gotten by: 090° - tan-1(4.4401 / 6.0571)  = 054° to the nearest degree.

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