A uniform carbon-fiber beam XYXYXY, which has a length of 5.6 m and a mass of 0.6 kg, is used as part of a high-precision measurement rig. To calibrate the beam, a sensor of weight λ \lambda\,λ Newtons is fixed at end XXX, and a counterweight of weight 4λ 4\lambda\,4λ Newtons is fixed at end YYY. The beam is suspended in a horizontal position of equilibrium by a single vertical cable attached to the beam at a point d d\,d metres from the end YYY.
Show that d=5.6λ+1.68g5λ+0.6gd = \frac{5.6\lambda + 1.68g}{5\lambda + 0.6g}d=5λ+0.6g5.6λ+1.68g
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.