Elements of Natural Philosophy, Volume 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 v = at , or a == ť 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 v = at , or a == ť 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 11
... hence its value at the middle of the interval must be the mean of its first and last values . In symbols ; if at time t = 0 the velocity was V , then at time t it is v = V + at . Also the space ( x ) described is equal to the product of ...
... hence its value at the middle of the interval must be the mean of its first and last values . In symbols ; if at time t = 0 the velocity was V , then at time t it is v = V + at . Also the space ( x ) described is equal to the product of ...
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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 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