Please help with the moment at A as a function of the angle at point B that can be used to keep the machine in equilibrium.

Part A: Baseline Mechanism

Imagine that you are are on a design team working on a robotio mechanism, and you have been assigned the andyyses of part of the mectunism. The part for you to analyze is shown in the figute. This linkage has an actuator at point $\backslash ($ A $\backslash )$ that needs to apply a couple at point B of up to $2\mathrm{.}5$ Nm $.$ The angle tange at pipint B is from $20$ to $120$ degrees. You need to determine the maximum torque $($couple$)$ required of the actuater at point A anted the minimum length of rod $\backslash ($ A C $\backslash ).$

For this project, you will plot the resuits for the length of AD$,$ the force of the collar on $\backslash ($ A C $\backslash )$ at $\backslash ($ D $\backslash ),$ and the required moment at $\backslash ($ A $\backslash )$ to keep the mechanism in equilibrium as functions of the angle at $\backslash ($ B $\backslash ).$