The essentials of gearing; a text book for students and for self-instruction, containing numerous problems and practical formulas . al law: The angular velocities of revolving arms with an intermediate connector are inversely proportional to the segments into tvhich the lineof action divides the line of centers. This law may be obtained also by using the centro 0 in connection with centers F and ©3 designate the angular velocity of E and K about the instantaneous center 0. Diaw OZperpendicular to the line of the link EK and observe the similarity of triangles EHR and OZE, also of KML and
The essentials of gearing; a text book for students and for self-instruction, containing numerous problems and practical formulas . al law: The angular velocities of revolving arms with an intermediate connector are inversely proportional to the segments into tvhich the lineof action divides the line of centers. This law may be obtained also by using the centro 0 in connection with centers F and ©3 designate the angular velocity of E and K about the instantaneous center 0. Diaw OZperpendicular to the line of the link EK and observe the similarity of triangles EHR and OZE, also of KML and OZK. EREF KLGK ER KL (Wo = — = OE OK 3 ER OE - X — EF ER ^ — KL OK ^3 OK_OZ<»3 GK KL GK~GN If the center line of the linkintersects the line of centersbetween the fixed centers, asin Fig. VI, the only change inthe conditions will be in tliedirection of rotation of arms 1and 2. In Fig, V they arealike and in Fig. VI they areopposite. As tlie same letter-ing is used in both figures, thedemonstration may be appliedto either. <y, ft), 0). OZ GN GN hence -^x—^=—!^= — x — = which is equal to OEEF AG OZFC Also. XVI INTRODUCTION. VIII. Velocity Ratio in Contact Motion. Fig. VII. F and G are the fixed centers ofrevolving arms 1 and 2 having curved surfaces in contact. Motion is imparted from 1 to 2by contact between the curved ends, the direction of rotation being indicated by is required to determine the velocity ratio at the instant shown, and to deduce tlie generallaw.
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