Problem $1$:

Consider the crank slider shown at right. The crank is of length a and the connecting rod is of length $b.$ All angles are measured positive counterclockwse from the $x$ axis. The distance from the ground pivot to the connection point between the connecting rod and slider is of length $d.$ Please perform the following tasks:

a$)$ Draw the vector loop required to solve for the postions of all components of the crank slider.

b$)$ Write out the vector loop equation for this crank slider.

c$)$ Identify which quantitites are known and which are unknown.

d$)$ Write out the $x$ and $y$ scalar equations required to solve for the unknowns identified in part c$.$

Note: Do not solve for any of the unknown quantities.