accelerating effort?

$5($a$)$ Design a four$-$bar mechanism to generate a function $y=sinx$ for $090.$ The

range of the output link may be chosen as $60$ while that of input crank be $120.$ Assume

three precision points that are to be obtained from Chebyshev spacing. Length of the

fixed link to be $52\mathrm{.}5$ mm long. Initial angular position of the crank is $105,$ and the

output link is $66.$ Identify the type of mechanism.

$($b$)$ Synthesize a mechanism to move coupler

$AB$ successively through the three positions

shown using a graphical method. Assume

the dimensions given are in cm $.$ Calculate

the minimum and maximum transmission

angle and show the mechanism in those

positions.