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BODIES IN PURE ROLLING CONTACT Cones rolling together without slipping The law stated in the previous article may be utilized to calculate the cone angles when the angle between the axes and the speed tatio are known. N sinß N sin (0-B) sinO cosß – cos&sinß sinß stnB/cosB N sint-cosOsinß /cosB stn0 - cos@ tanß N tanß Whence, sine tanß = (6) In simil Fa. 3. sine tana = (7) + cos0

BODIES IN PURE ROLLING CONTACT Cones rolling together without slipping The law stated in the previous article may be utilized to calculate the cone angles when the angle between the axes and the speed tatio are known. N sinß N sin (0-B) sinO cosß – cos&sinß sinß stnB/cosB N sint-cosOsinß /cosB stn0 - cos@ tanß N tanß Whence, sine tanß = (6) In simil Fa. 3. sine tana = (7) + cos0

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Please derived a formula for that tangent alpha based on the figure. Thank you!
BODIES IN PURE ROLLING CONTACT Cones rolling together without slipping The law stated in the previous article may be utilized to calculate the cone angles when the angle between the axes and the speed ratio are known. sinß sinß N sin (0-B) sinO cos,ß – cos0sinfß sinß /cosß tanß sin) – cosOsinß /cos߯ stn0 – cos0tanß Whence, sine tanß = (6) In simil Fra. 3. sin0 tana = N (7) +cos0
Transcribed Image Text:BODIES IN PURE ROLLING CONTACT Cones rolling together without slipping The law stated in the previous article may be utilized to calculate the cone angles when the angle between the axes and the speed ratio are known. sinß sinß N sin (0-B) sinO cos,ß – cos0sinfß sinß /cosß tanß sin) – cosOsinß /cos߯ stn0 – cos0tanß Whence, sine tanß = (6) In simil Fra. 3. sin0 tana = N (7) +cos0
N R FIG. 3.
Transcribed Image Text:N R FIG. 3.
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