The diametral pitch of a pair of standard 20° full-depth spur gears is 4. The pinion has 24 teeth and rotates clockwise. The velocity ratio is 2. Make a full-size layout of the gears in the region of tooth contact.
(a) Label pitch circle, addendum circle, dedendum circle, and base circle of the gear.
(b) If interference exists, indicate the amount by which one or both of the addenda would have to be reduced to eliminate it.
(c) Indicate the path of contact by a heavy solid line that extends exactly the length of the path of contact and no farther. (Assume that any interference has been eliminated by necessary addenda reduction.)
(d) Make a careful sketch of a pair of mating tooth profiles at the end of contact. Label angles of recess for pinion and gear.