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 ‘b’ in mm.

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 ‘b’ in mm. Correct Answer 120.2

From the above data θs=45° and θf=135°, assuming starting displacement and final displacement of slider as 100mm and 30mm respectively, We calculate k1 = 96.4mm k1 = 2a Therefore a = 48.2mm Now k2 = 2.a.c = 13084 Therefore c = 135.7mm Now b2 = a2 + c2 – k3 Therefore b = 120.2mm.

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