Below is a Whitworth Quick$-$Return Mechanism. The input is link b$,$ which is driven by input torque $T_{IN}$ and the output is the slider block, $f.$ The slider is subjected to external force $F_p=75N.$

$($a$)$ Conduct a dynamic force analysis by separating the linkage assembly and drawing a free body diagram for only links b$,$ e and the block, $f.$

$($b$)$ Sum the forces and moments for link $b$ and expand the equations to show the forces in x direction, $y-$direction and the moment equation.

$($c$)$ Sum the forces and moments for link $e$ and expand the equations to show the forces in x direction, $y-$direction and the moment equation.

Note: You can assign names to vectors however you like. Your vectors and equations will not be graded based on naming convention.