Elements of Natural Philosophy |
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Page 6
... interval is , the more nearly does the average velocity coincide with the actual velocity at any instant of the interval . Or again , we define the exact velocity at any instant as the space which the point would have described in one ...
... interval is , the more nearly does the average velocity coincide with the actual velocity at any instant of the interval . Or again , we define the exact velocity at any instant as the space which the point would have described in one ...
Page 7
... interval t , and s the space actually described in that interval ; the equation = ( which expresses the definition of the average velocity , §6 ) is more and more nearly true , as the velocity is more nearly uniform during the interval ...
... interval t , and s the space actually described in that interval ; the equation = ( which expresses the definition of the average velocity , §6 ) is more and more nearly true , as the velocity is more nearly uniform during the interval ...
Page 9
... interval 1 , v = at , or a = V. 33. Acceleration is variable when the point's velocity does not receive equal ... interval . As the interval becomes smaller , the direction PQ more and more nearly becomes the tangent at P. Hence the ...
... interval 1 , v = at , or a = V. 33. Acceleration is variable when the point's velocity does not receive equal ... interval . As the interval becomes smaller , the direction PQ more and more nearly becomes the tangent at P. Hence the ...
Page 11
... interval is that which would be described in the same time by a point moving uniformly with a velocity equal to that at the middle of the interval . In other words , the average velocity ( when the acceleration is uniform ) is , during ...
... interval is that which would be described in the same time by a point moving uniformly with a velocity equal to that at the middle of the interval . In other words , the average velocity ( when the acceleration is uniform ) is , during ...
Page 12
... interval must be the mean of its first and last values . In symbols ; if at time to the velocity was V , then at time it is v = V + at . Also the space ( x ) described is equal to the product of the time by the average velocity . But we ...
... interval must be the mean of its first and last values . In symbols ; if at time to the velocity was V , then at time it is v = V + at . Also the space ( x ) described is equal to the product of the time by the average velocity . But we ...
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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 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 vibrations weight whole wire