Elements of Natural Philosophy |
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Page 8
... vertical velocity V sin a and a horizontal velocity Vcos a Or it may be resolved into components in any three rectangular directions , each component being found by multiplying the whole velocity by the cosine of the angle between its ...
... vertical velocity V sin a and a horizontal velocity Vcos a Or it may be resolved into components in any three rectangular directions , each component being found by multiplying the whole velocity by the cosine of the angle between its ...
Page 11
... vertically in vacuo under the action of gravity . In this case the space described in any interval is that which would be described in the same time by a point moving uniformly with _a velocity equal to that at the middle of the ...
... vertically in vacuo under the action of gravity . In this case the space described in any interval is that which would be described in the same time by a point moving uniformly with _a velocity equal to that at the middle of the ...
Page 12
... vertically upwards , by simply giving a a negative sign . 44. When there is uniform acceleration in a constant direction , the path described is a parabola , whose axis is parallel to that direction . This is the case of a projectile ...
... vertically upwards , by simply giving a a negative sign . 44. When there is uniform acceleration in a constant direction , the path described is a parabola , whose axis is parallel to that direction . This is the case of a projectile ...
Page 15
... vertical component increases uniformly . Hence the hodograph is a vertical straight line , whose distance from the origin is the horizontal velocity , and which is described uniformly . U -B 51. To prove Hamilton's proposition ( § 49 ) ...
... vertical component increases uniformly . Hence the hodograph is a vertical straight line , whose distance from the origin is the horizontal velocity , and which is described uniformly . U -B 51. To prove Hamilton's proposition ( § 49 ) ...
Page 25
... vertical line to the left of each being the axis of ordinates . In the first case the slower motion goes through I : 2 ( Octave ) 2 : 3 ( Fifth ) See British Association Tidal Committee's Reports , 1868 , 1872 , 1875 : or Lecture on ...
... vertical line to the left of each being the axis of ordinates . In the first case the slower motion goes through I : 2 ( Octave ) 2 : 3 ( Fifth ) See British Association Tidal Committee's Reports , 1868 , 1872 , 1875 : or Lecture on ...
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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