The linkage in Figure has the dimensions and coupler angle given below. Find ${}_3,A_B,$ and $A_c$ for the position shown for $V_A=10i\frac{n}{sec}$ and $A_A=15i\frac{n}{sec2}$ in the directions shown. Use the acceleration difference graphical method.

Link lengths and angles

Link $3($ A to B $)$ b :$=1\mathrm{.}8$ in

Coupler angle ${}_3$:$=128$deg

Slider $4$ angle ${}_4$:$=59$deg

Coupler point:

Distance A to C $R_{ca}$:$=1\mathrm{.}44iv$

Angle BAC ${}_3$:$=-49$deg

Input slider velocity $V_A$:$=-10$ in sec ${?}^{-1}$

Input Slider acceleration $A_A=15$ in sec ${?}^{-2}$

a$)$ Use the acceleration difference graphical method.

b$)$ Use the analytical method and compare the results with the graphical technique.

c$)$ Plot ${}_3,A_B,$ and $A_C$ as a function of the slider position