The directions of rotation of the input shaft A and output shaft B of the worm-gear

Chapter 2, Problem 2/174

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The directions of rotation of the input shaft A and output shaft B of the worm-gear reducer are indicated by the curved dashed arrows. An input torque (couple) of \(80 \mathrm{~N} \cdot \mathrm{m}\) is applied to shaft A in the direction of rotation. The output shaft B supplies a torque of \(320 \mathrm{~N} \cdot \mathrm{m}\) to the machine which it drives (not shown). The shaft of the driven machine exerts an equal and opposite reacting torque on the output shaft of the reducer. Determine the resultant M of the two couples which act on the reducer unit and calculate the direction cosine of M with respect to the x-axis.

                                                         

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