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Further Mathematics Paper 2, Nov/Dec. 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 8

A body of mass 4 kg hangs from a fixed point O by a light inextensible string.  It is pulled aside by a horizontal force FN and rests in equilibrium with the string inclined at angle 60o to the downward vertical.  Calculate, correct to two decimal places, the

  1. magnitude of F.
  2. tension in the string.

[Take g = 10 ms-2]

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Observation

The report commended candidates’ performance in this question as it was said to be an improvement when compared with previous years.  However, candidates should sketch the diagram as shown below:
 

Using Lami’s theorem,  .  Simplifying gave F = 69.28N.
From  = , we obtain  T =

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