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 . 10. Any small portion of a curve may be approximately taken as a circular arc , the approximation being closer and closer to ...
... radius , and is measured , in terms of the proper unit of curvature , simply by the reciprocal of the radius . 10. Any small portion of a curve may be approximately taken as a circular arc , the approximation being closer and closer to ...
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 V3 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 V3 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 applied attraction axes axis called Cambridge centre of gravity centre of inertia circle co-ordinates component configuration consider constant corresponding cosine couple curvature curve Demy 8vo denote density described diagram direction of motion displacement distance Edited elastic ellipse ellipsoid elongation equal equations equilibrium external point fixed point fluid forces acting friction geometrical given force Hence hodograph inclined infinitely small instant inversely kinetic energy length magnitude mass matter measured moment of inertia momentum moving normal P₁ parallel parallelogram particle path pendulum perpendicular portion position pressure principal axes principle produce projection proportional quantity radius reckoned resultant right angles rigid body rotation round shear shell simple harmonic motion solid solid angle space spherical surface spiral square St John's College straight line strain suppose tangent tion torsion uniform unit University of Cambridge vertical whole wire
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