Elements of Natural Philosophy, Volume 1 |
From inside the book
Results 6-10 of 37
Page 26
... angular directions , the periods of the components being as 1 : 2 , and the epochs differing a circumference . successively by 0 , 1 , 2 , etc. , sixteenths of naux nauw nnuu ∞nov In the case of epochs equal , or differing by 26 ...
... angular directions , the periods of the components being as 1 : 2 , and the epochs differing a circumference . successively by 0 , 1 , 2 , etc. , sixteenths of naux nauw nnuu ∞nov In the case of epochs equal , or differing by 26 ...
Page 30
... angular velocities of AB and CD in any position . Evidently the instantaneous direction of motion of B is transverse to AB , and of D transverse to CD— hence if AB , CD produced meet D C in O , the motion of BD is for an instant as if ...
... angular velocities of AB and CD in any position . Evidently the instantaneous direction of motion of B is transverse to AB , and of D transverse to CD— hence if AB , CD produced meet D C in O , the motion of BD is for an instant as if ...
Page 35
... angular velocities w , w , respectively . Α a With radius unity describe the arc AB , and in it take any point I ... angular velocities about these axes - the diagonal of the parallelogram of which these are contiguous sides is the ...
... angular velocities w , w , respectively . Α a With radius unity describe the arc AB , and in it take any point I ... angular velocities about these axes - the diagonal of the parallelogram of which these are contiguous sides is the ...
Page 36
... angular velocity . 109. If a pyramid or cone of any form roll on a similar pyramid ( the image in a plane mirror of the first position of the first ) all round , it clearly comes back to its primitive position . This ( as all rolling of ...
... angular velocity . 109. If a pyramid or cone of any form roll on a similar pyramid ( the image in a plane mirror of the first position of the first ) all round , it clearly comes back to its primitive position . This ( as all rolling of ...
Page 37
... angular velocity , a the inclination of the screw thread to a generating line , u the linear velocity of the axis of the screw , we see at once from the above con- struction that awu :: AC : CB :: sin a : cos a , which gives the ...
... angular velocity , a the inclination of the screw thread to a generating line , u the linear velocity of the axis of the screw , we see at once from the above con- struction that awu :: AC : CB :: sin a : cos a , which gives the ...
Other editions - View all
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