A non-uniform plank XY XY\,XY has length 4 m and mass 10 kg. The plank is held in a horizontal position by two vertical light inextensible ropes attached at X X\,X and ZZZ, where XZ=3XZ = 3XZ=3 m.
Given that the tension in the rope at X X\,X is four times the tension in the rope at ZZZ.
Find the tension in the rope at ZZZ.
Find the distance of the 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.