Elements of Natural Philosophy, Part 1 |
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Page 4
... Hence , when P moves through any space in the direction of the cord , the pulley B moves in the same direction , through half the space . ( 2 ) If there be two cords and two pulleys , the ends AA ' being fixed , and the other end of AB ...
... Hence , when P moves through any space in the direction of the cord , the pulley B moves in the same direction , through half the space . ( 2 ) If there be two cords and two pulleys , the ends AA ' being fixed , and the other end of AB ...
Page 8
... Hence the resultant of any two velocities as OA , AC , in the figure , is a velocity represented by the third side , OC , of the triangle ОАС . Hence if a point have , at the same time , velocities represented by OA , AC , and CO , the ...
... Hence the resultant of any two velocities as OA , AC , in the figure , is a velocity represented by the third side , OC , of the triangle ОАС . Hence if a point have , at the same time , velocities represented by OA , AC , and CO , the ...
Page 9
... Hence if v be the change in the velocity during the interval t , v = at , or a = v t 33. Acceleration is variable when the point's velocity does not receive equal increments in successive equal periods of time . It is then measured by ...
... Hence if v be the change in the velocity during the interval t , v = at , or a = v t 33. Acceleration is variable when the point's velocity does not receive equal increments in successive equal periods of time . It is then measured by ...
Page 10
... Hence the velocity of P is to that of A as OP to CA , i.e. as V to R ; and is therefore equal to V R .V or V2 R ' and this ( § 35 ) is the amount of the acceleration in the circular path ABD . 37. The whole acceleration in any direction ...
... Hence the velocity of P is to that of A as OP to CA , i.e. as V to R ; and is therefore equal to V R .V or V2 R ' and this ( § 35 ) is the amount of the acceleration in the circular path ABD . 37. The whole acceleration in any direction ...
Page 12
... Hence , if AP be the direction of motion at A , AB the direction of acceleration , and the position of the point at time t ; draw QP parallel to BA , meeting AP in P : then Hence AP Vt , PQ = at2 . 2 V2 AP2 = PQ . α This is a property ...
... Hence , if AP be the direction of motion at A , AB the direction of acceleration , and the position of the point at time t ; draw QP parallel to BA , meeting AP in P : then Hence AP Vt , PQ = at2 . 2 V2 AP2 = PQ . α This is a property ...
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Common terms and phrases
acceleration action amount angular velocity anticlastic attraction axis called Cambridge 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 ellipsoid elongation equal equations equilibrium external 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 Octavo P. G. TAIT P₁ P₂ parallel particle path pendulum perpendicular plane 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 theorem theory tion torsion uniform unit vertical whole wire
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Page 5 - Mathematical and Physical Papers. By Sir W. THOMSON, LL.D., DCL, FRS, Professor of Natural Philosophy, in the University of Glasgow. Collected from different Scientific Periodicals from May, 1841, to the present time.
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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.