Elements of Natural Philosophy, Volume 1 |
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Page 20
... producing rectilineal from circular motion , or vice versa , in which a crank moving in a circle works in a straight slot belonging to a body which can only move in a straight line , fulfil strictly the definition of a simple harmonic ...
... producing rectilineal from circular motion , or vice versa , in which a crank moving in a circle works in a straight slot belonging to a body which can only move in a straight line , fulfil strictly the definition of a simple harmonic ...
Page 21
... produced . We have obviously P'R = CP ( being projections of the equal and parallel lines QS , CQ , on CR ) . Hence CR = CP + CP ' ; and therefore the point R executes the resultant of the motions P and P ' . But KINEMATICS . 21.
... produced . We have obviously P'R = CP ( being projections of the equal and parallel lines QS , CQ , on CR ) . Hence CR = CP + CP ' ; and therefore the point R executes the resultant of the motions P and P ' . But KINEMATICS . 21.
Page 22
... produce , as the actual result , a variation of level equal to the sum of variations that would be produced by the two causes separately . The amount of the lunar tide in the equilibrium theory is about 2.1 times that of the solar ...
... produce , as the actual result , a variation of level equal to the sum of variations that would be produced by the two causes separately . The amount of the lunar tide in the equilibrium theory is about 2.1 times that of the solar ...
Page 24
... produce a single simple harmonic motion of the same phase . For , the displacement at any instant being , according to the principle of the composition of motions , the geometrical resultant of the displacements due to the component ...
... produce a single simple harmonic motion of the same phase . For , the displacement at any instant being , according to the principle of the composition of motions , the geometrical resultant of the displacements due to the component ...
Page 25
... produce elliptic motion , having their ranges for conjugate axes , and describing , by the radius - vector from the centre , equal areas in equal times . 83. Returning to the composition of any number of equal simple harmonic motions in ...
... produce elliptic motion , having their ranges for conjugate axes , and describing , by the radius - vector from the centre , equal areas in equal times . 83. Returning to the composition of any number of equal simple harmonic motions in ...
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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