If the crank rotation angle varies from 45 degrees to 135 degrees, Using three precision points with chebyshev’s spacing, synthesize a slider crank mechanism where where displacement of slider is square of the crank rotation. From the above information calculate ‘c’ in mm.

(a) 148.2

(b) 158.2

(c) 135.7

(d) 120.2

I got this question in an internship interview.

This interesting question is from Analytical Synthesis for Slider Crank Mechanism topic in chapter Computer Aided Analysis and Synthesis of Mechanisms of Machine Dynamics