(Solved): The figure below shows a rigid bar supported by a linear spring and a cable. The bar weighs \( 160 ...

The figure below shows a rigid bar supported by a linear spring and a cable. The bar weighs \( 160 \mathrm{~N} \) and the cable has a cross-sectional area of \( 80 \mathrm{~mm}^{2} \) and an \( E \) value of \( 10 \mathrm{kN} / \mathrm{mm}^{2} \). Determine the forces in the spring and cable from first principles and then check the moment equilibrium of the bar.