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June 2007 p4 q2
3706
Two forces, each of magnitude 8 N, act at a point in the directions OA and OB. The angle between the forces is \(\theta^\circ\) (see diagram). The resultant of the two forces has component 9 N in the direction OA. Find
the value of \(\theta\),
the magnitude of the resultant of the two forces.
Solution
(i) To find \(\theta\), use the component of the resultant in the direction OA: