Elements of Natural Philosophy, Volume 1 |
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Page 9
... described . The amount of acceleration is the rate of change of velocity , and is therefore measured by the velocity of P in the curve PQ . 36. Let a point describe a circle , ABD , radius R , with uniform velocity V. Then , to ...
... described . The amount of acceleration is the rate of change of velocity , and is therefore measured by the velocity of P in the curve PQ . 36. Let a point describe a circle , ABD , radius R , with uniform velocity V. Then , to ...
Page 11
... described , and of other circumstances of the motion , is a question of pure mathematics , and in all cases is capable ( if not of an exact solution , at all events ) of a solution to any degree of approximation that may be desired ...
... described , and of other circumstances of the motion , is a question of pure mathematics , and in all cases is capable ( if not of an exact solution , at all events ) of a solution to any degree of approximation that may be desired ...
Page 12
... described parallel to this line . But in the same interval , by the above reasoning , we see that a space at2 is described parallel to the direction of acceleration . C Ꭺ P Hence , if AP be the direction of motion at A , AB the ...
... described parallel to this line . But in the same interval , by the above reasoning , we see that a space at2 is described parallel to the direction of acceleration . C Ꭺ P Hence , if AP be the direction of motion at A , AB the ...
Page 13
... described 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 in this case the velocity at any point ...
... described 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 in this case the velocity at any point ...
Page 14
... described in one second about the fixed point , which has just been shown to be a constant quantity . Other examples of these principles will be met with in the chapters on Kinetics . 49. If , as in § 35 , from any fixed point , lines ...
... described in one second about the fixed point , which has just been shown to be a constant quantity . Other examples of these principles will be met with in the chapters on Kinetics . 49. If , as in § 35 , from any fixed point , lines ...
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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 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 friction geometrical given force Hence hodograph horizontal infinitely small instant inversely kinetic energy length magnitude mass matter measured moment of inertia momentum moving normal section P₁ P₂ parallel parallelogram of forces particle path pendulum perpendicular plane perpendicular portion position potential 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 theory tion torsion uniform unit vertical whole wire