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.
139 exam-style questions on AQA A Level Maths 3.3 R: Forces and Newton's laws, covering 3.3.1 Concept of a force and Newton's first law, 3.3.2 Newton's second law, 3.3.3 Weight and motion under gravity, 3.3.4 Newton's third law and equilibrium, 3.3.5 Addition of forces and resultants (A-level only), and 3.3.6 Friction (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.