Elements of Natural Philosophy, Volume 1 |
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Page 6
... magnitudes of s and t , we may take these as small as we choose . Thus we get the same result whether we derive v from the space described in a million seconds , or from that described in a millionth of a second . This idea is very ...
... magnitudes of s and t , we may take these as small as we choose . Thus we get the same result whether we derive v from the space described in a million seconds , or from that described in a millionth of a second . This idea is very ...
Page 8
... magnitude A and direction . OC is evidently the diagonal of the parallelogram two of whose sides are OA , OB . Hence the resultant of any two velocities as OA , AC , in the figure , is a velocity represented by the third side , OC , of ...
... magnitude A and direction . OC is evidently the diagonal of the parallelogram two of whose sides are OA , OB . Hence the resultant of any two velocities as OA , AC , in the figure , is a velocity represented by the third side , OC , of ...
Page 9
... magnitude and direction the velocity of the moving point at every instant . ( Compare § 49. ) The points , P , Q , etc. , must form a continuous curve , for ( 87 ) OP cannot change abruptly in direction . Now if Q be a point near to P ...
... magnitude and direction the velocity of the moving point at every instant . ( Compare § 49. ) The points , P , Q , etc. , must form a continuous curve , for ( 87 ) OP cannot change abruptly in direction . Now if Q be a point near to P ...
Page 10
... 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- fore PQS is a circle whose centre is 0. The direction of acceleration at A is parallel to the tangent at P ...
... 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- fore PQS is a circle whose centre is 0. The direction of acceleration at A is parallel to the tangent at P ...
Page 13
... 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 equal to the algebraic sum of the moments of the components ...
... 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 equal to the algebraic sum of the moments of the components ...
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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