May/June 2026 Paper 12

2026 · 40 questions · 40 parts · 40 marks

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3Moments Equilibrium Centre MassHard1 mark
Three coplanar forces, P, Q and R, act at a point.
vector diagram of three coplanar forces P, Q and R acting at a point: P points vertically upward and Q points horizontally to the right, with a right-angle (90°) mark between them; a dashed line continues vertically downward from the point (directly opposite P); R points down and to the left, at 45° from that dashed downward line
The three forces are in equilibrium. The magnitude of P is increased by 10%. The directions of the forces are unchanged. Which percentage increase, if any, is required to the magnitudes of Q and R for the forces to be once again in equilibrium?
% increase in magnitude of Q% increase in magnitude of R
A1010
B010
C
D10