Elements of Natural Philosophy, Volume 1 |
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Results 6-10 of 76
Page 10
William Thomson Baron Kelvin, Peter Guthrie Tait. representing the velocity at A , B , etc. , in direction and magnitude . Since the velocity in ABD is constant , all the lines OP , OQ , etc. , D B a S will be equal ( to V ) , and there ...
William Thomson Baron Kelvin, Peter Guthrie Tait. representing the velocity at A , B , etc. , in direction and magnitude . Since the velocity in ABD is constant , all the lines OP , OQ , etc. , D B a S will be equal ( to V ) , and there ...
Page 11
... velocity of a moving point be uniform , and if its direction revolve uniformly in a plane , the path described is a circle . ( b ) If a point moves in a plane , and its component velocity parallel to each of two rectangular axes is ...
... velocity of a moving point be uniform , and if its direction revolve uniformly in a plane , the path described is a circle . ( b ) If a point moves in a plane , and its component velocity parallel to each of two rectangular axes is ...
Page 12
... velocity is and therefore Hence , by algebra , = ( V + V + at ) = V + at , x = Vt + at2 . V2 + 2ax = V2 + 2 Vat + a2t2 = ( V + at ) 2 = v2 , or v2 ā V2 = ax . - If there be no initial velocity our equations become v = at , x = at2 , v2 ...
... velocity is and therefore Hence , by algebra , = ( V + V + at ) = V + at , x = Vt + at2 . V2 + 2ax = V2 + 2 Vat + a2t2 = ( V + at ) 2 = v2 , or v2 ā V2 = ax . - If there be no initial velocity our equations become v = at , x = at2 , v2 ...
Page 13
... velocity or of a force about any point is the product of its magnitude into the perpendicular from the point upon its direction . The moment of the resultant velocity of a par- ticle about any point in the plane of the components is ...
... velocity or of a force about any point is the product of its magnitude into the perpendicular from the point upon its direction . The moment of the resultant velocity of a par- ticle about any point in the plane of the components is ...
Page 14
... velocity at any instant gives double the area described in one second about the fixed point , which has just been shown to be a constant quantity . Other examples of these principles will be met with in the chapters on Kinetics . 49. If ...
... velocity at any instant gives double the area described in one second about the fixed point , which has just been shown to be a constant quantity . Other examples of these principles will be met with in the chapters on Kinetics . 49. If ...
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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 Pā Pā 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