The task is to derive the equations needed to analyze the positions $($postures$)$ of a simple five$-$bar mechanism. After deriving the general equations, use the$$assigned values to complete the analysis.$$Create a document that clearly explains how the equations were derived and includes a diagram illustrating your design in each assigned posture. The$$document should show all work, include all equations, and provide a discussion of the results. If the calculations seem incorrect, troubleshoot the best you can, as the randomly chosen numbers may contain errors. When multiple angles are provided, match them in order, $($ex$.$ the first value of one angle with the first value of the second angle$).$ Number the links starting with Link $1($fixed$)$ and continue clockwise with each angle.$\backslash$table$[[$Link Lengths $($in$),$Angles $($deg$),],[L_1,L_2,L_3,L_4,L_5,{}_2,{}_3$