A treatise on the rectilinear motion and rotation of bodies; with a description of original experiments. Relative to the subject / By G. Atwood.

  • George Atwood
Date:
1784
Catalogue details

Licence: Public Domain Mark

Credit: A treatise on the rectilinear motion and rotation of bodies; with a description of original experiments. Relative to the subject / By G. Atwood. Source: Wellcome Collection.

    455/484 page 431
    [ 43' ] XII. Let WTEF, <%BGF be two fyftems Fig.cir. revolving in free fpace about their cen- tres of gravity G and W-, let the angular velocity of the fyftem ®BGF be fuch as caufes it to make M revolutions or parts of a revolution in any ftandard time i, and in the fame time let the fyftem W'TEF perform N revolutions or parts of a revolution in the fame plane, but in a direction contrary to that in which the former fyftem revolves: moreover, let the centre of gravity G move in the right line XB with the velocity V, and let the centre W move in the oppofite diredtion WD parallel to BX: fuppofe the fyftem QBGF to impinge on the body WTEF in the point F and in the direction LF parallel to HD or BX and perpendicular to the furface which it ftrikes; it is re- quired to affign the motion of each body after the impadt. Through G and W draw YL and OE perpendicular to the dire&ion in which the centres of gravity move, and let the principal centre of gyration of the fyftem £>BGF be <£. and that of the fyftem WTEF be T. Moreover, let the mafs of the fyftem QBGF be G, and that of the other fyftem W: the point F in the fyftem WTEF will be im- pelled by the impaft with the fame force as if the mafs GxG^yT+zCMxGL . ^ityof^xGgtGT- a8a,“Fbe,nS* ££*'• centrated into a point with the fame velocity, on a fuppofition that the inertia of the ftriking body at ° F is
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