Elements of Natural Philosophy |
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Page 2
... circle , and radii OP , OQ , to the points of contact . The angle between the tangents is the change of direction between P. and Q , and the rate of change is to be measured by the relation between this angle and the length of the ...
... circle , and radii OP , OQ , to the points of contact . The angle between the tangents is the change of direction between P. and Q , and the rate of change is to be measured by the relation between this angle and the length of the ...
Page 5
... same thing , the locus of the centres of the circles which have at each point the same tangent and curvature as the curve PQ . And we may merely mention , as an obvious result of the mode of tracing , that the arc qp is equal KINEMATICS .
... same thing , the locus of the centres of the circles which have at each point the same tangent and curvature as the curve PQ . And we may merely mention , as an obvious result of the mode of tracing , that the arc qp is equal KINEMATICS .
Page 9
... the curve thus described . The magnitude of the 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 , KINEMATICS . 6.
... the curve thus described . The magnitude of the 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 , KINEMATICS . 6.
Page 10
... circle whose centre is O. The direction of acceleration at A is parallel to the tangent at P , that is , is per pendicular to OP , i.e. to Aa , and is therefore that of the radius AC . Now P describes the circle PQS , while A describes ...
... circle whose centre is O. The direction of acceleration at A is parallel to the tangent at P , that is , is per pendicular to OP , i.e. to Aa , and is therefore that of the radius AC . Now P describes the circle PQS , while A describes ...
Page 11
... circle . ( b ) If a point moves in a plane , and its component velocity parallel to each of two rectangular axes is proportional to its dis tance from that axis , the path is an ellipse or hyperbola whose principal diameters coincide ...
... circle . ( b ) If a point moves in a plane , and its component velocity parallel to each of two rectangular axes is proportional to its dis tance from that axis , the path is an ellipse or hyperbola whose principal diameters coincide ...
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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 cord 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 weight whole wire