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Theory of Machines Miscellaneous

Direction: A compacting machine shown in the figure below is used to create a desired thrust force by using a rack and pinion arrangement. The input gear is mounted on the motor shaft. The gears have involute teeth of 2 mm module.

  1. If the pressure angle of the rack is 20°, the force acting along the line of action between the rack and the gear teeth is
    1. 250 N
    2. 342 N
    3. 532 N
    4. 600 N
Correct Option: C

P cos φ = F
∴ Force acting along the line of action,

P =
F
=
500
= 532 N
cos φcos 20°



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