Resultant of coplanar forces

A question is this type if and only if it asks you to find the magnitude and/or direction of the resultant of two or more coplanar forces acting at a point, where the system is NOT in equilibrium.

28 questions · Moderate -0.6

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OCR MEI Further Mechanics A AS 2024 June Q1
4 marks Moderate -0.8
1 Two horizontal forces of magnitudes 7 N and 15 N act at a point O .
The 15 N force acts an angle of \(\theta ^ { \circ }\) above the positive \(x\)-axis.
The 7 N force acts at an angle of \(70 ^ { \circ }\) below the negative \(x\)-axis (see diagram).
\includegraphics[max width=\textwidth, alt={}, center]{a96a0ebe-8f4f-4d79-9d11-9d348ef72314-2_606_773_402_239} The resultant of the two forces acts only in the positive \(x\)-direction.
  1. Calculate the value of \(\theta\).
  2. Calculate the magnitude of the resultant of the two forces.
OCR H240/03 Q9
4 marks Moderate -0.8
9 Two forces, of magnitudes 2 N and 5 N , act on a particle in the directions shown in the diagram below.
\includegraphics[max width=\textwidth, alt={}, center]{ec83c2c5-f8f8-4357-abfa-d40bc1d026b4-07_323_755_548_283}
  1. Calculate the magnitude of the resultant force on the particle.
  2. Calculate the angle between this resultant force and the force of magnitude 5 N .
OCR Mechanics 1 2017 Specimen Q9
4 marks Moderate -0.8
9 Two forces, of magnitudes 2 N and 5 N , act on a particle in the directions shown in the diagram below.
\includegraphics[max width=\textwidth, alt={}, center]{77c6e712-be31-47fb-baa0-4931b7defbf4-07_323_755_548_283} \section*{(a) Calculate the magnitude of the resultant force on the particle.
(b) Calculate the angle between this resultant force and the force of magnitude 5 N .}