Elements of Natural Philosophy |
From inside the book
Results 1-5 of 99
Page 5
... , 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 . 5.
... , 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 . 5.
Page 10
... 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 ABD . Hence ...
... 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 ABD . Hence ...
Page 11
... centre of the curve at every instant ( §§ 66 , 78 ) . ( c ) If the components of the velocity parallel to each axis be equi- multiples of the distances from the other axis , the path is a straight line passing through the origin . ( d ) ...
... centre of the curve at every instant ( §§ 66 , 78 ) . ( c ) If the components of the velocity parallel to each axis be equi- multiples of the distances from the other axis , the path is a straight line passing through the origin . ( d ) ...
Page 15
... centre of the circle , and O the hodographic origin . Join OA and draw the perpendiculars PM to OA and ON to PA . is the velocity in the orbit : and ON , being parallel to the tangent at P , is the direc tion of acceleration in the ...
... centre of the circle , and O the hodographic origin . Join OA and draw the perpendiculars PM to OA and ON to PA . is the velocity in the orbit : and ON , being parallel to the tangent at P , is the direc tion of acceleration in the ...
Page 16
... centre of a circle an arc whose length is equal to the radius ; being an angle of = 57 ° 29578 ... 57 ° 17′44 ′′ -8 nearly . 180 ° = 56. The angular velocity of a point in a plane is evidently to be found by dividing the velocity ...
... centre of a circle an arc whose length is equal to the radius ; being an angle of = 57 ° 29578 ... 57 ° 17′44 ′′ -8 nearly . 180 ° = 56. The angular velocity of a point in a plane is evidently to be found by dividing the velocity ...
Other editions - View all
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