Elements of Natural Philosophy |
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Page 3
... passes from one position to the next by revolving about the tangent to the curve . 13. Thus , as we proceed along such a curve , the curvature in general varies ; and , at the same time , the ... passing round the figure . KINEMATICS . 3.
... passes from one position to the next by revolving about the tangent to the curve . 13. Thus , as we proceed along such a curve , the curvature in general varies ; and , at the same time , the ... passing round the figure . KINEMATICS . 3.
Page 4
William Thomson Baron Kelvin, Peter Guthrie Tait. moving point describes it while passing round the figure . This is true whether the polygon be closed or not . If closed , then , as long as it is not crossed , this sum is four right ...
William Thomson Baron Kelvin, Peter Guthrie Tait. moving point describes it while passing round the figure . This is true whether the polygon be closed or not . If closed , then , as long as it is not crossed , this sum is four right ...
Page 11
... passing through the origin . ( d ) When the velocity is uniform , but in a direction revolving uniformly in a right circular cone , the motion of the point is in a circular helix whose axis is parallel to that of the cone . 42. When a ...
... passing through the origin . ( d ) When the velocity is uniform , but in a direction revolving uniformly in a right circular cone , the motion of the point is in a circular helix whose axis is parallel to that of the cone . 42. When a ...
Page 12
... diameter through it . А 45. When the acceleration , whatever ( and however varying ) be its magnitude , is directed to a fixed point , the path is in a plane passing through that point ; and in this plane the 13 PRELIMINARY .
... diameter through it . А 45. When the acceleration , whatever ( and however varying ) be its magnitude , is directed to a fixed point , the path is in a plane passing through that point ; and in this plane the 13 PRELIMINARY .
Page 13
William Thomson Baron Kelvin, Peter Guthrie Tait. passing through that point ; and in this plane the areas traced out ... passes through the point , its moment vanishes . This is the case of a motion in which the acceleration is directed ...
William Thomson Baron Kelvin, Peter Guthrie Tait. passing through that point ; and in this plane the areas traced out ... passes through the point , its moment vanishes . This is the case of a motion in which the acceleration is directed ...
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Common terms and phrases
acceleration action amount angular velocity anticlastic attraction axis called centimetre centre of gravity centre of inertia circle circular co-ordinates component configuration consider constant 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 parallelogram particle path pendulum perpendicular plane perpendicular portion position pressure principal axes principle produce projection proportional quantity radius radius of gyration reckoned rectangular relative 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 vibrations weight whole wire