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The axes of the two shafts are intersecting and are at 30° to each other. These two shafts are connected by Hook’s joint. At which position of the drives shaft velocity ratio will be minimum?(a) 90°, 270°(b) 0°, 180°(c) 180°, 270°(d) 90°, 180°I have been asked this question in examination.Asked question is from Universal Joints and Differential topic in section Chassis & Transmission System of Automobile Engineering

Answer» CORRECT CHOICE is (a) 90°, 270°

The explanation is: (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 minimum when θ = m&pi/2 where m = 1, 3, 5, …… i.e. θ = 90° or 270°.


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