Elements of Natural Philosophy |
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Page 10
... 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 . Since the velocity in ABD is constant , all the ...
... 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 . Since the velocity in ABD is constant , all the ...
Page 11
... determination of the form of the path 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 ...
... determination of the form of the path 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 ...
Page 27
... determined harmonic motions differing from one another in phase by a quarter period . Now the resultant of two simple harmonic motions , one a quarter of a period in advance of the other , in different lines , has been proved ( § 82 ) ...
... determined harmonic motions differing from one another in phase by a quarter period . Now the resultant of two simple harmonic motions , one a quarter of a period in advance of the other , in different lines , has been proved ( § 82 ) ...
Page 30
... determine from the two positions of one line AB , A'B ' of the figure the common centre and the amount of the angle of rotation . 93. The lines equidistant from A and A ' , and from B. and B , are parallel if AB is parallel to A'B ...
... determine from the two positions of one line AB , A'B ' of the figure the common centre and the amount of the angle of rotation . 93. The lines equidistant from A and A ' , and from B. and B , are parallel if AB is parallel to A'B ...
Page 37
... determined in magnitude , and the direction of its axis is found , as follows : -The square of the resultant angular velocity is the sum of the squares of its components , and the ratios of the three components to the resultant are the ...
... determined in magnitude , and the direction of its axis is found , as follows : -The square of the resultant angular velocity is the sum of the squares of its components , and the ratios of the three components to the resultant are the ...
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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