Theory of Machi...

A 14-tooth pinion paired with 36-tooth gear has a 3 mm module and 20° pressure angle. Tooth forms are standard AGMA full depth involutes. What is the center distance of the assembly?

A disc of mass 0.5 kg and radius of gyration 0.3 m is rotating about its axis at 3600 rpm. The axis of the disc is now rotated at 240 rpm around a different axis. What is the gyroscopic couple acting on the disc?

An epicyclic gear train has 3 shafts A, B, and C with A as the input shaft running at 120 rpm clockwise and B as the output shaft running at 240 rpm clockwise. Calculate the torque needed to fix C if the torque on A is 40 kN.m CW (i.e clockwise) provided C is fixed. (CCW = counter-clockwise). 

An aeroplane flying at 240 km/h turns towards the left and completes a quarter circle of 60 m radius. The mass of the rotary engine and the propeller of the plane is 450 kg with a radius of gyration of 320 mm. The engine speed is 2000 rpm clockwise when viewed from the rear. Determine the gyroscopic couple in (kN.m) ______

In an Involute pinion (20˚pressure angle) with 20 teeth is meshed with gear with teeth 80. Path of approach is maximum possible that just avoids interference. What is velocity of sliding at beginning of contact (mm/sec) if module is 4 mm and angular velocity of pinion is 5 rad/s.

The following data is given for a rack and pinion drive:

Pinion has 30 teeth and a 130 mm pitch circle diameter. Both rack and pinion have an addendum of 6.5 mm, Teeth are involute profile. Find the length of the path of contact at minimum pressure angle to avoid interference