A particle is held in equilibrium by three forces. The first force is 10i10\mathbf{i}10i N, the second is PjP\mathbf{j}Pj N and the third is Q5(−3i−4j)\dfrac{Q}{5}(-3\mathbf{i}-4\mathbf{j})5Q(−3i−4j) N, where P P\,P and Q Q\,Q are positive constants.
Find P P\,P and QQQ.
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.