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(i) State why gear teeth have to be undercut.                                                                      

(ii) The following data refers to two 200C involute spur gears in mesh externally:

        Velocity ratio                         = 3

        Module                                  = 3 mm

        Addendum                             = 1.1 module

If the pinion rotates at 120 r.p.m. find –

(1)   the minimum number of teeth on each gear wheel to avoid interference:

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(ii) Minimum no. of teeth to avoid interference between gears

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