A uniform beam AB AB\,AB has length 12 m and mass 30 kg. It rests horizontally on supports at C C\,C and DDD, where AC=2AC=2AC=2 m and AD=9AD=9AD=9 m. Equipment of mass m m\,m kg is fixed at AAA, and a counterweight of mass 20 kg is fixed at a point PPP, where AP=xAP=xAP=x m. The sum of the reactions at the supports is 735 N, and the reaction at C C\,C is twice the reaction at DDD.
Use g=9.8 m s−2g=9.8\text{ m s}^{-2}g=9.8 m s−2.
Show that m=25m=25m=25.
Find xxx.
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.