A non-uniform girder MN MN\,MN has length 150 cm and mass 18 kg. A worker places a toolkit of mass 12 kg on the girder at LLL, where ML=30ML = 30ML=30 cm. The girder is held in horizontal equilibrium by two vertical supports at M M\,M and N N\,N providing tensions TM T_M\,TM and TNT_NTN.
Given that the tension TN T_N\,TN is 12 N greater than the tension TMT_MTM.
Find the distance, to the nearest cm, of the girder's centre of mass from MMM.
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.