5 A sphere of mass 3 kg hangs on a string. A horizontal force of magnitude \(F \mathrm {~N}\) acts on the sphere so that it hangs in equilibrium with the string making an angle of \(25 ^ { \circ }\) to the vertical. The force diagram for the sphere is shown below.
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- Sketch the triangle of forces for these forces.
- Hence or otherwise determine each of the following:
- the tension in the string
- the value of \(F\).
Answer all the questions.
Section B (76 marks)