In this question use g=9.8g = 9.8g=9.8 m s−2^{-2}−2.
A uniform beam AB AB\,AB of length 4 m and mass 20 kg rests horizontally in equilibrium on two supports at C C\,C and DDD, where AC=0.8AC = 0.8AC=0.8 m and AD=3.2AD = 3.2AD=3.2 m.
A child of mass 30 kg stands on the beam at DDD.
Find the magnitude of the reaction of the support on the beam at C C\,C and the magnitude of the reaction of the support on the beam at DDD.
56 exam-style questions on OCR (MEI) A Level Maths 3.6 Rigid Bodies (A-level only), covering 3.6.1 Moment of a force (A-level only), 3.6.2 Equilibrium of a rigid body (A-level only), 3.6.3 Turning effect of forces (A-level only), and 3.6.4 Weight acting through a point (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.