Problem $3.(30$ Points$)$

Using both graphical and analytical $($Polar representation$)$ methods to determine the torque, $T_{12},$ required to drive slider $6$ of Figure against a load of $P=100lb$ at a crank angle of $=30.$

vec$(R{)}_{A{O}_2}=62\mathrm{.}5mm,$vec$(R{)}_{O_2{O}_4}=150mm,$vec$(R{)}_{BC}=200mm$ and vec$(R{)}_{B{O}_4}=400mm,$