Three forces act on a particle in equilibrium. Two of the forces are (6i−2j)(6\mathbf{i}-2\mathbf{j})(6i−2j) N and (−3i+7j)(-3\mathbf{i}+7\mathbf{j})(−3i+7j) N.
Find the third force.
Find the magnitude and direction of the third force, giving the direction as an angle south of west.
49 exam-style questions on OCR (MEI) A Level Maths 3.5 Newton's Laws of Motion, covering 3.5.1 Meaning of Newton's three laws, 3.5.2 Equation of motion, 3.5.3 Equation of motion for a particle in a straight line, 3.5.4 Model a system of connected particles, 3.5.5 Equations of motion for individual particles, 3.5.6 System with no relative motion as a single particle, and 3.5.7 Equation of motion in a straight line or plane (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.