Two uniform rods \(A B\) and \(B C\) are rigidly joined at \(B\) so that \(\angle A B C = 90 ^ { \circ }\). Rod \(A B\) has length 0.5 m and mass 2 kg . Rod \(B C\) has length 2 m and mass 3 kg . The centre of mass of the framework of the two rods is at \(G\).
Find the distance of \(G\) from \(B C\).
The distance of \(G\) from \(A B\) is 0.6 m .
The framework is suspended from \(A\) and hangs freely in equilibrium.
Find the angle between \(A B\) and the downward vertical at \(A\).