Elements of Natural Philosophy, Volume 1 |
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Page 4
... fixed) a point P of the cord iP' be moved to P', it is evident that each * of the portions AB and PB will be shortened by one-half of PP. Hence, A' when P moves through any space in the direction of the cord, the pulley B moves in the ...
... fixed) a point P of the cord iP' be moved to P', it is evident that each * of the portions AB and PB will be shortened by one-half of PP. Hence, A' when P moves through any space in the direction of the cord, the pulley B moves in the ...
Page 3
... fixed point , to turn so as always to be parallel to the direction of motion of a point describing the curve : the angle through which this turns during the motion of the point exhibits what we have defined as the integral curvature ...
... fixed point , to turn so as always to be parallel to the direction of motion of a point describing the curve : the angle through which this turns during the motion of the point exhibits what we have defined as the integral curvature ...
Page 4
... fixed ) a point P of the cord be moved to P ' , it is evident that each of the portions AB and PB will be shortened by one - half of PP . Hence , when P moves through any space in the direction of the cord , the pulley B moves in the ...
... fixed ) a point P of the cord be moved to P ' , it is evident that each of the portions AB and PB will be shortened by one - half of PP . Hence , when P moves through any space in the direction of the cord , the pulley B moves in the ...
Page 5
... fixed , the motion of a point of one end of the cord to or from it involves an equal motion of the other end from or to it . If the strings be not parallel , the relations of a single pulley or of a system of pulleys are a little ...
... fixed , the motion of a point of one end of the cord to or from it involves an equal motion of the other end from or to it . If the strings be not parallel , the relations of a single pulley or of a system of pulleys are a little ...
Page 9
... fixed directions will , in general , be accelerated . Since acceleration is merely a change of the component velocity in a stated direction , it is evident that the laws of composition and resolution of accelerations are the same as ...
... fixed directions will , in general , be accelerated . Since acceleration is merely a change of the component velocity in a stated direction , it is evident that the laws of composition and resolution of accelerations are the same as ...
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Common terms and phrases
acceleration action amount angular velocity anticlastic attraction axis called centre of gravity centre of inertia circle circular co-ordinates component configuration consider constant cord corresponding cosine couple curvature curve cylinder denote density described diagram displacement distance ellipse ellipsoid elongation equal equations equilibrium external point finite fixed point flexure fluid forces acting formulae friction geometrical given force Hence hodograph horizontal inclined infinitely small instant inversely kinetic energy length magnitude mass matter measured moment of inertia momentum moving normal section P₁ parallel particle path pendulum perpendicular plane perpendicular portion position pressure principal axes principle produce projection proportional quantity radius radius of gyration reckoned rectangular right angles rigid body rotation round shear shell sides simple harmonic motion solid angle space spherical surface spiral square straight line strain stress suppose tangent theorem tion torsion uniform unit vertical weight whole wire