Abstract
Strain gauge methods have proved useful in investigating force–time relations during shuttle projection and in studying the strain at various points in the picking stick. It has been verified experimentally that the x = A sin μt type of nominal movement can be used to design a cam giving the same shuttle speed but a lower maximum force than the usual s = pϕ movement; to allow for the variation in camshaft speed during picking it is then necessary to fit an equation of the polynomial form s = pϕ + qϕ2 + rϕ3 to the results of the experimental determination of the nominal movement and to work out the theory afresh on this basis. The corrections applied to the theory enable the maximum force to be predicted with greater accuracy in the case of the s = pϕ movement. For the improved movement, their use introduces considerable mathematical complexity into the equations, and until an explanation is found for certain discrepancies between the theoretical and experimental force–time curves there is little to be gained by applying the corrections for camshaft speed variations to the original theory.
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