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The axes of the two shafts are intersecting and are at 35° to each other. These two shafts are connected by Hook’s joint. At which position of the drives shaft velocity ratio will not be unity?(a) 42.145°(b) 222.145°(c) 317.85°(d) 141.52°I had been asked this question by my school principal while I was bunking the class.My question is taken from Universal Joints and Differential topic in chapter Chassis & Transmission System of Automobile Engineering

Answer»

Correct answer is (d) 141.52°

The EXPLANATION: (ωB / ωA) = (cos α) / (1 – cos^2θ sin^2α) where A = driving shaft and B = driven shaft and α is the angle between shaftA and shaft B. θ is the angle through which the shaft A rotates. VELOCITY ratio is unity when tanθ = ± \(\SQRT{cos\alpha} = ± \sqrt{cos35}\) = ± 0.90 i.e. θ = 42.145°, 222.145°, 317.85°, and 137.85°.


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