(Solved): Figure 3 illustrates a \\( 4 \\mathrm{~kg} \\) uniform slender rod supported by a spring at point \ ...
Figure 3 illustrates a \\( 4 \\mathrm{~kg} \\) uniform slender rod supported by a spring at point \\( S \\) and a pin at point \\( O \\). In this figure, \\( l=1.5 \\mathrm{~m}, l_{0} \\) \\( =10 \\mathrm{~m}, F=100 \\mathrm{~N} \\) and \\( \\mathrm{k}=50 \\mathrm{~N} / \\mathrm{m} \\) and \\( \\Delta \\mathrm{s} \\) are the stiffness and deflection of the spring, respectively. Please answer questions 9, 10, 11 and 12. Question 9: When the external force is zero (i.e., \\( F=0 \\) ), determine the deflection of the spring to balance the rod.