May/June 2026 Paper 43

2026 · 7 questions · 12 parts · 50 marks

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Context for question 6
Three coplanar forces acting at a point O on x-y axes: F N acts at 30 degrees above the positive x-axis (upper right); 50 N acts at 40 degrees above the negative x-axis (upper left); 65 N acts at 60 degrees below the negative x-axis (lower left).
Three coplanar forces of magnitudes , and act at a point in the directions shown in the diagram.
6(a)Forces EquilibriumHard5 marks
It is initially given that . Find the magnitude and direction of the resultant force.
Working
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Magnitude and direction of the resultant force
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6(b)Forces EquilibriumMedium3 marks
It is given instead that the value of is such that the component of the resultant force in the -direction is zero. Find the magnitude and direction of the resultant force.
Working
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Magnitude and direction of the resultant force
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