Elements of Natural Philosophy, Volume 1 |
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Page 25
... displacement compounded of OP and OP ' . Hence two equal simple harmonic motions in perpendicular lines , of phases differing by at quarter period , are equivalent to a uniform circular motion of radius equal to the maximum displacement ...
... displacement compounded of OP and OP ' . Hence two equal simple harmonic motions in perpendicular lines , of phases differing by at quarter period , are equivalent to a uniform circular motion of radius equal to the maximum displacement ...
Page 28
... displacement of a rigid body or group of points whose relative positions are unalterable . The simplest case we can consider is that of the motion of a plane figure in its own plane , and this , as far as kinematics is concerned , is ...
... displacement of a rigid body or group of points whose relative positions are unalterable . The simplest case we can consider is that of the motion of a plane figure in its own plane , and this , as far as kinematics is concerned , is ...
Page 30
... displacement ) along AB , and the only point which so moves is the intersection of AB , with the perpendicular to it from Q. Thus our construction would enable us to trace the envelop by points . A P B A 0 97. Again , suppose ABDC to be ...
... displacement ) along AB , and the only point which so moves is the intersection of AB , with the perpendicular to it from Q. Thus our construction would enable us to trace the envelop by points . A P B A 0 97. Again , suppose ABDC to be ...
Page 31
... displacements , each of which corresponds , as we have seen , to an elementary rotation about some point in the plane . Let O1 , 02 , 03 , etc. , be the successive points of the figure about which the rotations take place , 01 , 02 , 03 ...
... displacements , each of which corresponds , as we have seen , to an elementary rotation about some point in the plane . Let O1 , 02 , 03 , etc. , be the successive points of the figure about which the rotations take place , 01 , 02 , 03 ...
Page 32
... displacement of a rigid solid , which is in directions wholly perpendicular to a fixed line , may be produced by the rolling of a cylinder fixed in the solid on another cylinder fixed in space , the axes of the cylinders being parallel ...
... displacement of a rigid solid , which is in directions wholly perpendicular to a fixed line , may be produced by the rolling of a cylinder fixed in the solid on another cylinder fixed in space , the axes of the cylinders being parallel ...
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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