A non-uniform plank XY XY\,XY has length 400 cm and mass 12 kg. A crate of mass 8 kg is placed on the plank at ZZZ, where XZ=100XZ = 100XZ=100 cm. The plank is held in horizontal equilibrium by two light vertical ropes attached at X X\,X and YYY.
Given that the tension in the rope at X X\,X is 15 N greater than the tension in the rope at YYY.
Find the distance, to the nearest cm, of the plank's centre of mass from XXX.
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.