A pinion having 18 teeth engages with an internal gear having 72 teet…

Previous year question for THEORY OF MACHINES.

Question

A pinion having 18 teeth engages with an internal gear having 72 teeth. If the gears have involute profiled teeth with $20^\circ$ pressure angle, module of 4 mm and the addenda on pinion and gear are 8.5 mm and 3.5 mm respectively, find the length of path of contact.

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