Given a four$-$bar linkage with the link lengths $L_1=d=100mm,L_2=a=40mm,L_3$

$=b=120mm,L_4=c=80mm.$ For ${}_2=40$ find all possible values of ${}_3$ and ${}_4$

graphically.

Given a four$-$bar crank$-$slider linkage with the link lengths $L_2=a=40mm,L_3=b=$

$120$ mm $,$ offset $=c=-20mm.$ For ${}_2=60$ find all possible values of ${}_3$ and slider

position $d$ graphically.

Given a four$-$bar slider$-$crank linkage with the link lengths $L_2=a=40mm,L_3=b=$

$120$ mm $,$ offset $=c=-20mm.$ For $d=100mm,$ find all possible values of ${}_2$ and ${}_3$

on the circuit defined by the given value of $d$ graphically.

The link lengths and the value of ${}_2$ and offset for some four$-$bar crank$-$slider linkages

are defined in the Table. Dimensions are in inch. The linkage configuration and

terminology are shown in the Figure. Draw the linkage to scale and graphically find

all possible solutions $($both open and crossed$)$ for angle ${}_3$ and slider position $d.$