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.
Practise Edexcel A Level Maths Moments with exam-style questions for A Level Maths. 18 questions covering Moments, Resultant Moments, Equilibrium, Centres of Mass, and Tilting, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.