A crane is fitted with a counterweight so that it does not topple while raising a load, as illustrated. The counterweight has a mass of $5000\ \text{kg}$. The crane is designed to lift a load of $12.0\ \text{kN}$, and the horizontal distance from the pivot to the load is $17.0\ \text{m}$. At what distance from the pivot must the centre of gravity of the counterweight be placed to maintain equilibrium of the crane?
- A$0.0408\ \text{m}$
- B$0.240\ \text{m}$
- C$4.16\ \text{m}$
- D$40.8\ \text{m}$