A non-uniform beam LM LM\,LM has length 10 m and mass 24 kg. The beam is supported in a horizontal position by two light vertical cables attached at L L\,L and NNN, where LN=8LN = 8LN=8 m.
Given that the tension in the cable at L L\,L is five times the tension in the cable at NNN.
Find the tension in the cable at NNN.
Find the distance of the beam's centre of mass from LLL.
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.