Three forces (3i+2pj)(3\mathbf{i} + 2p\mathbf{j})(3i+2pj) N, (−2i+5j)(-2\mathbf{i} + 5\mathbf{j})(−2i+5j) N and (4qi+5j)(4q\mathbf{i} + 5\mathbf{j})(4qi+5j) N act on a particle AAA.
Given A A\,A is in equilibrium, show that p=−5p=-5p=−5 and q=−14\displaystyle q=-\frac14q=−41. Hence find the value of 2p+q2p+q2p+q.
182 exam-style questions on Edexcel A Level Maths Forces and Motion, covering 10.1 Force Diagrams, 10.2 Forces as Vectors, 10.3 Forces and Acceleration, 10.4 Motion in 2 Dimensions, 10.5 Connected Particles, and 10.6 Pulleys. Each one has a worked solution and a mark scheme showing where the marks go.