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 find the values of p p\,p and qqq.
Practise Edexcel A Level Maths Forces and Motion with exam-style questions for A Level Maths. 15 questions 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, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.
