A non-uniform beam PQ PQ\,PQ has length 300 cm and mass 20 kg. A load of 5 kg is placed on the beam at RRR, where PR=60PR = 60PR=60 cm. The beam is supported in horizontal equilibrium by two vertical cables attached at P P\,P and QQQ.
Given that the tension in the cable at Q Q\,Q is 20 N greater than the tension in the cable at PPP.
Find the distance, to the nearest cm, of the beam's centre of mass from PPP.
54 exam-style questions on Edexcel A Level Maths Moments, covering 4.1 Moments, 4.2 Resultant Moments, 4.3 Equilibrium, 4.4 Centres of Mass, and 4.5 Tilting. Each one has a worked solution and a mark scheme showing where the marks go.