For the quick return mechanism shown in the figure below, the following are known $-$

and $a_2=0ra\frac{d}{s^2}$

a$.$ Calculate the angular velocity of link $4$ and the velocity of link $3$ w$.$r$.$t$.$ link $4$

b$.$ Explain the angular velocity of link $4$ intuitively.

c$.$ Calculate the angular acceleration of link $4$ and the acceleration of link $3$ w$.$r$.$t link $4O_2{O}_4=10cm,O_{2}A=5cm,$ angle and $a_2=0ra\frac{d}{s^2}$

$a.$ Calculate the angular velocity $of$ link $4$ and the velocity $of$ link $3w.r.t.$ link $4$

$b.$ Explain the angular velocity $of$ link $4$ intuitively.

$c.$ Calculate the angular acceleration $of$ link $4$ and the acceleration $of$ link $3w.r.t$ link $4$