Non Uniform Rod Held in Horizontal Equilibrium By Cables at Either End at Different Angles to Vertical

It is not sufficient to maintain an equilibrium that forces balance in each direction. There must also be no turning force about any point. The following diagram shows a non - uniform rod of weight 100 N held horizontal by tensionsandin cables attached to either end of the rod.

The centre of gravity of the rod is a distance x froim end A.

Resolving vertically gives

Subtracting these, and using thatgives


Taking moments about A gives