A uniform rod AB AB\,AB has length 10 m and mass M M\,M kg. It rests horizontally on supports at C C\,C and DDD, where AC=2AC=2AC=2 m and AD=8AD=8AD=8 m. A particle of mass kM kM\,kM kg may be placed at any point of the rod.
Find the greatest possible value of k k\,k for which the rod remains in contact with both supports wherever the particle is placed.
42 exam-style questions on WJEC A Level Maths 4.10 Moments (A-level only), covering 4.10.1 Moments (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.