Problem 2: A pair of gears have the following data: number of teeth: gear (33), pinion (15); diametral pitch: 8; cutter pressure angle: 20 degree. The long-short addendum system is used

for the tooth element proportions. The tooth thickness of the pinion on the pitch circle is designed to be 15% larger than that for the gear. Determine: a). Cutter displacements e, and e. b). Tooth thickness of the pinion and gear on the pitch circles. c). Diameters of the addendum and dedendum circles of the pinion and gear. d). Contact ratio.