Elements of Natural Philosophy |
From inside the book
Results 6-10 of 62
Page 34
... axes are DP along OC , and PC along OD . 103. When a circle rolls upon a straight line , a point in its circumference describes a Cycloid , an internal point describes a Prolate Cycloid , an external point a Curtate . Cycloid . The two ...
... axes are DP along OC , and PC along OD . 103. When a circle rolls upon a straight line , a point in its circumference describes a Cycloid , an internal point describes a Prolate Cycloid , an external point a Curtate . Cycloid . The two ...
Page 36
... axes through the fixed point may be compounded into one such rotation . 107. Let OA , OB be two axes about which a body revolves with angular velocities w , w , respectively . With radius unity describe the arc AB , and in it take any ...
... axes through the fixed point may be compounded into one such rotation . 107. Let OA , OB be two axes about which a body revolves with angular velocities w , w , respectively . With radius unity describe the arc AB , and in it take any ...
Page 37
... axes OA , OB , we measure off from O lines Op , Oq , proportional respectively to the angular velocities about these axes the diagonal of the parallelogram of which these are contiguous sides is the resultant axis . Again , if Bb be ...
... axes OA , OB , we measure off from O lines Op , Oq , proportional respectively to the angular velocities about these axes the diagonal of the parallelogram of which these are contiguous sides is the resultant axis . Again , if Bb be ...
Page 38
... axes attached to it to de- termine the position of the body in space after a given time . But the general solution of this problem demands higher analysis than can be admitted into the present treatise . 112. We shall next consider the ...
... axes attached to it to de- termine the position of the body in space after a given time . But the general solution of this problem demands higher analysis than can be admitted into the present treatise . 112. We shall next consider the ...
Page 39
... axes is called the precession in any such case . What we have denoted by is the angular velocity of the precession , or , as it is sometimes called , the rate of precession . The angular motions , are to one another inversely as ...
... axes is called the precession in any such case . What we have denoted by is the angular velocity of the precession , or , as it is sometimes called , the rate of precession . The angular motions , are to one another inversely as ...
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 cord 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 weight whole wire