Elements of Natural Philosophy, Volume 1 |
From inside the book
Results 1-5 of 29
Page 15
... velocity in the orbit : and ON , being parallel to the tangent at P , is the direc- tion of acceleration in the ... Angular Velocity of the first point about the second . If uniform , it is of course measured by the angle described in ...
... velocity in the orbit : and ON , being parallel to the tangent at P , is the direc- tion of acceleration in the ... Angular Velocity of the first point about the second . If uniform , it is of course measured by the angle described in ...
Page 16
... velocity and acceleration . We may also speak of the angular velocity of a moving plane with respect to a fixed one , as the rate of increase of the angle contained by them ; but unless their line of intersection remain fixed , or at ...
... velocity and acceleration . We may also speak of the angular velocity of a moving plane with respect to a fixed one , as the rate of increase of the angle contained by them ; but unless their line of intersection remain fixed , or at ...
Page 17
... angular velocity . Hence the arc of PQ , described in any time , is proportional to the corresponding angle - vector in the orbit , i.e. to the angle through which the tangent to PQ has turned . Hence ( 9 ) the curvature of PQ is ...
... angular velocity . Hence the arc of PQ , described in any time , is proportional to the corresponding angle - vector in the orbit , i.e. to the angle through which the tangent to PQ has turned . Hence ( 9 ) the curvature of PQ is ...
Page 20
... angular measure is the angle described on the circle of reference in the period of time defined as the epoch . The ... velocity of a point executing a simple harmonic motion is a simple harmonic function of the time , a quarter of a period ...
... angular measure is the angle described on the circle of reference in the period of time defined as the epoch . The ... velocity of a point executing a simple harmonic motion is a simple harmonic function of the time , a quarter of a period ...
Page 22
... angular velocities of CQ and CQ are equal , and therefore the angle QCQ is constant ) , and revolves with the same angular velocity as CQ or CQ ; and therefore the resultant motion is simple harmonic , of amplitude CS , and of epoch ...
... angular velocities of CQ and CQ are equal , and therefore the angle QCQ is constant ) , and revolves with the same angular velocity as CQ or CQ ; and therefore the resultant motion is simple harmonic , of amplitude CS , and of epoch ...
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 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