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angular acceleration angular velocity ratio axes axodes belt bevel-wheels body centrodes change-points circle connecting-rod considered corresponding crank curve cycloidal cylinder described direction displacement distance draw drawn duangle ellipse engine equal example feet per second figure fixed link gear Hence higher pairing hyperboloidal inch instant intersection involute kinematic chain length linear velocity machine mechanism moving normal obtained parallel path pawl perpendicular piston pitch surfaces pitch-circles plane motion point of contact points of restraint position pulleys quadric crank-chain radial acceleration radians per second radii radius ratchet ratchet-wheel regard relative motion represents Reuleaux revolution revolutions per minute right angles rolling rotation scale screw second per second shaft shown in Fig simple harmonic motion sin2 slider-crank chain sliding pair spur-wheels straight line straight-line motions suppose tangent teeth tion tooth triangle turning pair uniform valve vector velocity and acceleration velocity diagram virtual axis virtual centre wheels
Page 347 - It has met with the same fate. It is to the physicist Ampere § that we owe an important advance. He saw clearly that a mechanism should be studied as " an instrument by the help of which the direction and velocity of a given motion can be altered...
Page 216 - ... a maximum at half lift, and then from this point decelerates at the same rate. To determine the cam form, the lift period in degrees is divided into an equal number of parts. A radial line is drawn through each division and the position of the roller centre marked on each of these radial lines. The distance of the centre of the roller from the centre of the base circle B FIG.
Page 92 - CJA is a right angle. In the same way it may be proved that for any other position of C the line drawn from C to J is at right angles to AJ.
Page 346 - ... naturally arise upon considering such engines ; — for example, are the means by which the results are obtained the best that might have been employed ? or what are the various methods that might have been substituted for them? Yet there appears no reason why the construction of a machine for a given purpose should not, like any usual problem, be so reduced to the dominion of the mathematician, as to enable him to obtain, by direct as and certain methods, all the forms and arrangements that...
Page 194 - FIG. 388. transmitted by the frictional resistance to slipping. With noncircular plates, as shown in Fig. 387, the motion is transmitted by direct action. Again, taking the general case, if the profiles of the plates are such that the common normal at the point of contact always passes through the same point on the line of centres, the angular-velocity ratio is constant. Thus, in Fig. 388, L and M represent the profiles of the two plates or teeth, and DK the common normal at their point of contact....