Two 20° pressure angle involute gears in mesh have a module of 10 mm. The addendum is one module. The larger gear has 50 teeth and the pinion 13 teeth.
(i) Does interference occur?
(ii) If it occurs, to what value should the pressure angle be changed to eliminate interference?
(iii) Represent schematically the meshing of two gears showing the base, pitch and addendum circles and the path of contact.