Elements of Natural Philosophy, Volume 1 |
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Page 2
... radius , and is measured , in terms of the proper unit of curvature , simply by the reciprocal of the radius . 0 I - = - S r is the 10. Any small portion of a curve may be approximately taken as a circular arc , the approximation being ...
... radius , and is measured , in terms of the proper unit of curvature , simply by the reciprocal of the radius . 0 I - = - S r is the 10. Any small portion of a curve may be approximately taken as a circular arc , the approximation being ...
Page 10
... radius R , with uniform velocity V. Then , to determine the direction of acceleration , we must draw , as below , from a fixed point O , lines OP , OQ , etc. , representing the velocity at A , B , etc. , in direction and magnitude ...
... radius R , with uniform velocity V. Then , to determine the direction of acceleration , we must draw , as below , from a fixed point O , lines OP , OQ , etc. , representing the velocity at A , B , etc. , in direction and magnitude ...
Page 11
... radius R , with velocity V , the whole acceleration is directed towards the centre , and ys has the constant value R See § 36 . 43. With uniform acceleration in the direction of motion , a point describes spaces proportional to the ...
... radius R , with velocity V , the whole acceleration is directed towards the centre , and ys has the constant value R See § 36 . 43. With uniform acceleration in the direction of motion , a point describes spaces proportional to the ...
Page 13
... radius - vector are proportional to the times employed . Evidently there is no acceleration perpendicular to the plane con- taining the fixed point and the line of motion of the moving point at any instant ; and there being no velocity ...
... radius - vector are proportional to the times employed . Evidently there is no acceleration perpendicular to the plane con- taining the fixed point and the line of motion of the moving point at any instant ; and there being no velocity ...
Page 14
William Thomson Baron Kelvin, Peter Guthrie Tait. by the radius - vector are proportional to the times ; for , as we have seen , the moment of the velocity is double the area traced out by the radius - vector in unit of time . 48. Hence ...
William Thomson Baron Kelvin, Peter Guthrie Tait. by the radius - vector are proportional to the times ; for , as we have seen , the moment of the velocity is double the area traced out by the radius - vector in unit of time . 48. Hence ...
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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