Mathematics Meets Technology
Cambridge University Press, 26 ապր, 1991 թ. - 199 էջ
A resource book which looks at the design of mechanisms, for example gears and linkages, through the eyes of a mathematician. There are a wide variety of examples including car steering, anglepoise lamps, bicycles, cine cameras, folding push chairs and the design of robots. Readers are encouraged to make models throughout and to look for further examples in everyday life. Suitable for GCSE, A level, and mathematics/technology/engineering courses in Further Education.
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4-bar linkage arcs belt bicycle bolt brake centre chain wheel circle clockwise complete revolutions crane cross-sectional area designed diameter direction distance moved drill driver follower driving wheel engine epicyclic gear example figure below shows Fischertechnik fixed point fluid flywheel force free wheel gear train gear wheels give gripper horizontal hydraulic ram isosceles trapezium jack kg wt km/h Lego Technic length lever lifting locus Meccano mesh metres motion movement number of teeth operate oscillate paper fasteners parallelogram linkage path pawl pedal penny-farthing pinion piston pivot planet gear position produce pulled pulley pulley system pump pushed rack rack and pinion radius ratchet ratio Reuleaux triangle robot rocker roller rolling rotary rotation scale factor screw sewing machine shaft sliding sprockets spur gear straight line t(AB t(AD top gear trace transmission factor trapezium linkage variable-based triangle velocity Watt's linkage winch winding drum