An object is made from two identical uniform rods $AB$ and $BC$ each of length $0.6{\text{ }}m$ and weight $7{\text{ }}N$. The rods are rigidly joined to each other at $B$ and angle $ABC = {90^ \circ }$.
a) Calculate the distance of the centre of mass of the object from $B$.
The object is freely suspended at $A$ and a force of magnitude $F{\text{ }}N$ is applied to the rod $B$C at $C$. The object is in equilibrium with $AB$ inclined at ${45^ \circ }$ to the horizontal.
b)(i) Calculate $F$ given that the force acts horizontally as shown in Fig. 1.
(ii) Calculate $F$ given instead that the force acts perpendicular to the rod as shown in Fig. 2.

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