Elements of Natural Philosophy |
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Page 19
... positions of the points . Take GA ᏳᎪ G or Gin AB such that the ratio or GB GB has a constant B value . Then , as the ... position , velocity , and acceleration are in such a case the geometrical resultants of the various components ...
... positions of the points . Take GA ᏳᎪ G or Gin AB such that the ratio or GB GB has a constant B value . Then , as the ... position , velocity , and acceleration are in such a case the geometrical resultants of the various components ...
Page 20
... position at any instant to a fixed diameter AA ' of the circle , intersects the diameter in a point P , whose position changes by a simple harmonic motion . Thus , if a planet or satellite , or one of the constituents of a double star ...
... position at any instant to a fixed diameter AA ' of the circle , intersects the diameter in a point P , whose position changes by a simple harmonic motion . Thus , if a planet or satellite , or one of the constituents of a double star ...
Page 21
... position , and is evidently the time of revolution in the auxiliary circle . [ In the formula the period is The Phase of a simple harmonic motion at any instant is an expression used to designate the part of its whole period which it ...
... position , and is evidently the time of revolution in the auxiliary circle . [ In the formula the period is The Phase of a simple harmonic motion at any instant is an expression used to designate the part of its whole period which it ...
Page 25
... position . In the case of a single simple harmonic motion , the corresponding curve would be that described by the point P in $ 70 , if , while Q maintained its uniform circular motion , the circle were to move with uniform velocity in ...
... position . In the case of a single simple harmonic motion , the corresponding curve would be that described by the point P in $ 70 , if , while Q maintained its uniform circular motion , the circle were to move with uniform velocity in ...
Page 26
... position of the displacement compounded of OP and OP . Hence two equal simple harmonic motions in perpendicular lines , of phases differing by a quarter period , are equivalent to a uniform circular motion of radius equal to the maximum ...
... position of the displacement compounded of OP and OP . Hence two equal simple harmonic motions in perpendicular lines , of phases differing by a quarter period , are equivalent to a uniform circular motion of radius equal to the maximum ...
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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