Elements of Natural Philosophy, Volume 1 |
From inside the book
Results 1-5 of 40
Page 1
... rest or to prevent change of motion , and 2 ° so as to produce or to change motion . Dynamics , therefore , is divided into two parts , which are conveniently called STATICS and KINETICS . 3. In Statics the action of force in maintaining ...
... rest or to prevent change of motion , and 2 ° so as to produce or to change motion . Dynamics , therefore , is divided into two parts , which are conveniently called STATICS and KINETICS . 3. In Statics the action of force in maintaining ...
Page 8
... rest . Hence the resultant of velocities represented by the sides of any closed polygon whatever , whether in one plane or not , taken all in the same order , is zero . Hence also the resultant of velocities represented by all the sides ...
... rest . Hence the resultant of velocities represented by the sides of any closed polygon whatever , whether in one plane or not , taken all in the same order , is zero . Hence also the resultant of velocities represented by all the sides ...
Page 18
... rest , while the motions of the others will remain the same with regard to it as before . Thus , to take a very simple example , two trains are running in opposite directions , say north and south , one with a velocity of fifty , the ...
... rest , while the motions of the others will remain the same with regard to it as before . Thus , to take a very simple example , two trains are running in opposite directions , say north and south , one with a velocity of fifty , the ...
Page 32
... rest , the motion of the circle circumscribing OBQA is one of internal rolling on a circle of double its diameter . Hence if a circle roll internally on another of twice its diameter any point in its circumference describes a diameter ...
... rest , the motion of the circle circumscribing OBQA is one of internal rolling on a circle of double its diameter . Hence if a circle roll internally on another of twice its diameter any point in its circumference describes a diameter ...
Page 35
... rest during the interval 7 if the sum of these displacements is zero — i . e . if w1.IB = w.Ia . ----- 10 B Ρ 0 Hence the line OI is instantaneously at rest , or the two rotations about OA and OB may be compounded into one about OI ...
... rest during the interval 7 if the sum of these displacements is zero — i . e . if w1.IB = w.Ia . ----- 10 B Ρ 0 Hence the line OI is instantaneously at rest , or the two rotations about OA and OB may be compounded into one about OI ...
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 cloth co-ordinates component configuration consider constant cosine couple curvature curve cylinder denote density described diagram displacement distance elements ellipse ellipsoid elongation equal equations equilibrium external point Extra fcap finite 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 Natural Philosophy normal section Oxford P₁ parallel particle path pendulum perpendicular portion position potential pressure principal axes principle produce projection proportional quantity radius radius of gyration reckoned rectangular resultant 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 theory tion torsion uniform unit vertical whole wire
Popular passages
Page 161 - that every particle of matter in the universe attracts every other particle, with a force whose direction is that of the line joining the two, and whose magnitude is directly as the product of their masses, and inversely as the square of their distances from each other.
Page 65 - Every body continues in its state of rest or of uniform motion in a straight line, except in so far as it is compelled by force to change that state.
Page 28 - Fourier's theorem is not only one of the most beautiful results of modern analysis, but may be said to furnish an indispensable instrument in the treatment of nearly every recondite question in modern physics.
Page 161 - Newton generalized the law of attraction into a statement that every particle of matter in the universe attracts every other particle with a force which varies directly as the product of their masses and inversely as the square of the distance between them; and he thence deduced the law of attraction for spherical shells of constant density.
Page 66 - Change of motion is proportional to the impressed force and takes place in the direction of the straight line in which the force acts.
Page 68 - To every action there is always an equal and contrary reaction; or, the mutual actions of any two bodies are always equal and oppositely directed in the same straight line.
Page 130 - UNTIL we know thoroughly the nature of matter and the forces which produce its motions, it will be utterly impossible to submit to mathematical reasoning the exact conditions of any physical question.